Post on 08-Feb-2023
ANALYSIS OF DATA FROM NASA B-57BGUST GRADIENT PROGRAM
by
Walter FrostMing-Chang LinHo-Pen Chang
andErik Ringnes
4PR198 6R E C E I V E [
JWSASTI FACILITY
' (NASA-CR-178736) A N A L Y S I S O F D A T A FROM N A S A N 8 6 - 2 3 6 Q UB-57B COST G R A D I E N T PBGGRAM final ReportJTenaessee Univ.) 500 p HC A21/HF AQ1 :
CSCL 01C DnclasG3/08 15939
"T^
§'
Final ReportPrepared Under
NASA Contract NAS8-36177and
NASA Contract NAS8-35347
for
George C. Marshall Space Flight CenterNational Aeronautics and Space Administration
ANALYSIS OF DATA FROM NASA B-57BGUST GRADIENT PROGRAM
by
Walter FrostMing-Chang LinHo-Pen Chang
andErik Ringnes
September 1985
Atmospheric Science DivisionThe University of Tennessee Space Institute
Tullahoma, Tennessee 37388-8897
ACKNOWLEDGMENTS
The authors wish to express their appreciation and thanks to several
people who were very helpful and to a great extent responsible for this
research effort being accomplished. Realizing that it is not possible to name
everyone who contributed to the effort, it is nevertheless important to
mention some of them. Special acknowledgment is due to John Houbolt, Harold
Murrow, and Robert Sleeper of the NASA Langley Research Center and to Wenneth
Painter, Jack Ehernberger, and to the ground and flight crews of the B-57B
aircraft at the NASA Dryden Flight Research Facility. A special note of
appreciation is also due to Warren Campbell, Margaret Alexander, and Dennis
Camp of the NASA Marshall Space Flight Center for their technical direction
and encouragement. Richard Tobiason (NASA Headquarters) is also gratefully
acknowledged.
TABLE OF CONTENTS
SECTION PAGE
1.0 INTRODUCTION 1
2.0 STATISTICAL ANALYSIS OF DATA 7
2.1 Flight Path Information 8
2.2 Time Histories of Gust Velocitiesand Gust Velocity Differences 8
2.3 Average Turbulence Parameters andIntegral Length Scales 9
2.4 Probability Density Function for GustVelocities and Gust Velocity Differences 15
2.5 Single-Point Auto-correlation Coefficientof Gust Velocities 25
2.6 Two-point Auto-correlation Coefficientof Gust Velocities 27
2.7 Normalized Auto-spectra of GustVelocities 33
2.8 Normalized Two-point Auto-spectra ofGust Velocities 49
2.9 Two-point Cross-spectra of GustVelocities 59
2.10 List of All Parameters Measured andTheir Range of Values 60
3.0 CONCLUSION 66
REFERENCES 68
APPENDIX A 69
LIST OF TABLES
TABLE PAGE
1. Gust Gradient Flights During JAWS 1982 4
2. Summary of B-57B Flight Data During JAWS 6
3. Mean Airspeed (m/s) for Flight 6,July 14, 1982 11
4. Average and Standard Deviation of MeanAirspeed Difference Between Probes 12
5. Turbulence Intensity for All Runs of Flight 6 13
6. Standard Deviation of Velocity Differencefor All Runs of Flight 6 14
7. Turbulence Length Scales for All Runsof Flight 6 16
8. The Value of the Parameter r ofNon-Gaussian Probability Density Functionfor All Runs of Flight 6 24
m.
LIST OF FIGURES
FIGURE PAGE
1. NASA B-57B Gust Gradient Program 2
2. Comparison of probability density function for gustvelocities and their differences with theory,Flight 6, Run 42 20
3. Flow chart of non-Gaussian turbulenceprobability model 21
4. Comparison of probability density function for gustvelocities and their differences with theory,Flight 6, Run 5 23
5. Comparison of single-point auto-correlation ofgust velocities with theoretical model;composite of Runs 2 through 13 28
6. Comparison of single-point auto-correlation ofgust velocities with theoretical model;composite of Runs 14 through 23 29
7. Comparison of single-point auto-correlation ofgust velocities with theoretical model;composite of Runs 24 through 33 30
8. Comparison of single-point auto-correlation ofgust velocities with theoretical model;Composite of Runs 34 through 46 31
9. Normalized auto-spectra of gust velocities showingspike in the longitudinal spectra, Flight 6, Run 5 37
10. Spectra of variables used to compute Wx 39
11. Normalized auto-spectra of gust velocities showinginfluence of the Houbolt correction factor,Flight 6, Run 42 41
12. Comparison of theoretical and FFT computeralgorithm for an idealized time history
X(t) = e~a\t\ with and without correction .......... 42
13. Comparison of auto-spectra of gust velocitieswith von K arm an model, Runs 2 through 24 ......... 45
14. Comparison of auto-spectra of gust velocitieswith von Karman model, Runs 25 through 46 ........ 46
15. Illustration of selection of reference $(/cfor normalized auto- spectra of WXR velocity,Flight 6, Run 42 ..................... 50
16. Normalized auto-spectra of gust velocities,Flight 6, Run 42 ..................... 51
17. Coincident spectra and quadrature spectra ofgust velocities, Flight 6, Run 42 .............. 54
18. Terminology of the two-point auto-correlationdevelopment ....................... 56
19. Comparison of the two-point auto-spectrum withHoubolt and Sen's normal equation and therederived equation, Flight 6, Run 42 ............ 58
20. Coincident spectra and quadrature spectra ofgust velocities, Flight 6, Run 39 .............. 61
NOMENCLATURE
Mean airspeed of aircraft, m/s
C,VL Aircraft airspeed computed from impact pressureat right wing tip boom, nose boom, and leftwing tip boom, respectively, m/s
R, C, L Designation of right wing tip, nose,and left wing tip, respectively
L Integral length scale, m
X, Y, Z Longitudinal, lateral, vertical directionswith respect to aircraft frame
Wx, WY , W% Gust velocity component in X, Y, Z direction,respectively, m/s
n Number of degrees of freedom in normalizedStudent T probability density function
r An adjustable number in a non-Gaussianprobability density function
/ Cyclic frequency, Hz
s Spatial lag distance, m
Rx(r) Single-point auto-correlation function intime domain, m2 /sec2
BX(T) Single-point auto-correlation coefficientin time domain
Bwx(8) von Karman single-point auto-correlation
coefficient in spatial lag domain
VI
Rx(s,r) Two-point auto-correlation function,m2/sec2
BX(S,T) Two-point auto-correlation coefficient
RX,X'(S,T) Two-point auto-correlation function,11 *im /sec
RWXWX($) Auto-correlation for two points ata spatial distance of f, m2/sec2
Rwnwn($) Conventional longitudinal correlation fortwo points at a spatial distance of f, m2/aec2
RWPWP(S) Conventional lateral correlation for twopoints at a spatial distance of f, m2/sec2
Sx,x'(s,f) Two-sided two-point auto-spectrum density 'function, m2/sec
Sx(f) Two-sided single-point auto-spectrum densityfunction, m2/sec
Cx,x'(s,f) Coincident spectral density function, thereal part of a one-sided spectrum densityfunction, m2/sec
Qx,z'(s, f) Quadrature spectral density function, theimaginary part of a one-sided spectrum densityfunction, m2/sec
M Mach number of aircraft
Tc Computed free-stream temperature, °C
TO Total temperature, °G
VII
Free-stream static pressure measured atthe airplane nose boom, K.Pa
C.F. Houbolt's digitizing correction factorqc Impact pressure, Pa
qcR,qcc,qcL Impact pressure measured at aircraftright wing tip boom, nose boom, and leftwing tip boom, respectively, Pa
Be Bandwidth, Hz
Tr Total time record of a turbulence dataset, second
Tri Time length of each segment of a turbulencedata set, second
q, SEG. Number of separate segments for a turbulencedata set
Er Normalized standard error, \i B1
T
T Total time, seconds
East-west component of the airplane inertialvelocity measured by INS, positive towardeast, ml sec
North-south component of the airplane inertialvelocity mesaured by INS, positive towardnorth, ra/'sec
p(x) Probability density function
Greek Symbols
a Standard deviation, m/sec
&WX)0WY)&wz Standard deviation of gust velocitycomponents, WX, WY, WZ, respectively
K Wave number, u/V,m~1
w Spatial frequency, rad/sec
T Time lag, sec
f Degrees of freedom, 2BeTr
At Time increment, sec
A Difference
d_dt
$ Airplane heading measured in a horizontalplane clockwise from time north, rad
^ Yaw rate measured by body-mounted yaw-ratetransducer (positive with nose going right)rad/sec
$(/c) Spectrum in the domain of wave number,m3/(sec2 /rad)
$x(f) One-sided single-point auto-spectrum inthe domain of cyclic frequency, m2/sec
^WX(K)>^WY(K-))^WZ(K') Auto-spectrum density function of the theoreticalvon Karman model, m3/(sec2/rad)
$'K^q Spectrum at frequency /« of the
qth time slice,
Spectrum in the domain of spatialfrequency, m^
^,z'(*5/) One-sided two-point auto-spectrumdensity function, m2/sec
6x,x'(a,f) Phase angle of $«,,'(«, /), rad
Superscripts
- A bar over a symbol indicates average overan entire run in an aircraft flight
A caret over a symbol indicates the quantityis given with respect to the mean for theentire run in an aircraft flight
1.0 INTRODUCTION
The purpose of the Gust Gradient Program is to study low-altitude,
spanwise turbulence during takeoff, landing, and level flight near severe
weather formation where non-homogeneous turbulence may exist. Tradi-
tional aerodynamic analyses treat turbulence as a gust acting uniformly
over the entire aircraft at any given instant. This assumption is reasonable
for a small aircraft encountering turbulence with long length scales, but for
large aircraft and small turbulence length scales, such as occur near the
ground or under storm conditions, spanwise variation of turbulence gusts is
not negligible. The gust velocity distribution along the span can generate
rolling and yawing moments. If the velocity variation is large and develops
suddenly, the pilot will have difficulty controling the airplane, and may even
lose control. Also, the structural integrity of the aircraft may be severely
challenged. Theoretical analyses have been developed which do address
the effects of spanwise gust distributions (see for a review, Frost and Lin
(1983)). These analyses call for two-point spatial turbulence correlations
(i.e., cross-correlations) which are computed based on the assumption of
isotropic turbulence. However, very few flight experiments have been car-
ried out to measure these correlations and, thus, provide verification of the
isotropic turbulence model assumption.
The NASA B-57B Gust Gradient Program was initiated to provide
these measurements. The B-57B was instrumented with three probes: one
at the left wing tip; one at the center on the nose; and one at the right
wing tip. Figure 1 conceptually illustrates the Gust Gradient Program.
The lower right-hand side shows the B-57B aircraft with the three probes.
The upper right-hand side of the figure shows gust wind velocity variation
along the wing span. Obviously, asymmetric wind variation will generate
rolling moments. The upper middle sketch illustrates the difference between
a uniform gust and a nonuniform gust along the wing span. The lower left-
hand side of Figure 1 shows the conceptual flight path of the B-57B aircraft,
including takeoff, landing, and level flight. For safety reasons, the aircraft
only flew outside the storm cells instead of through them to detect the near
wind field influenced by the storm.
The data presented in this report were gathered when the Gust Gra-
dient Program joined the Joint Airport Weather Studies (JAWS) Project
in Denver, Colorado, from July 7 to July 23, 1982. During the JAWS
Project, 11 data collection flights were flown. These flights were carried
out in a controlled airspace and it was not possible to fly in all details the
conceptual flight paths. Therefore, most of the flight paths are straight
and level but are near, in many cases, severe microbursts. Table 1 shows
the flight number, date, start time (Mountain Daylight Time, MDT), end
time (MDT), and general comments about each flight. Only three flights
(Flights 6, 7, and 10) encountered severe turbulence. Analyses of the data
gathered on these three flights have been carried out.
The Gust Gradient Program was a joint program between three NASA
centers. NASA Dryden Flight Research Center operated and maintained
the aircraft. The raw data tapes were sent to NASA Langley Research
Center where the initial conversion into engineering units was carried out.
NASA Marshall Space Flight Center managed the program.
The data were stored on magnetic tapes in binary form. The tapes
are then sent to The University of Tennessee Space Institute (UTSI) for
Table 1. Gust Gradient Flights During JAWS 1982
FLIGHT DATE START END
1 7/7 15:41:38 15:59:392 7/8 14:49:11 16:40:353 7/9 13:17:10 15:42:34
4 7/11 14:46:07 17:02:445 7/13 15:20:18 16:44:56
6 7/14 13:41:13 15:55:21
7 7/15 14:08:13 16:26:20
8 7/17 15:49:35 17:17:56
9 7/20 15:59:30 18:35:52
10 7/21 16:05:05 18:04:40
11 7/22 13:36:09 15:24:45
COMMENTS
Landmark Familiarization FlightLight to Moderate TurbulenceLight to Moderate Turbulencewith Data Correlation withJAWS 02 (King Air 200)andJAWS 30 (HS 125)Moderate Turbulence and LightningILS Approaches to Stapleton inLight TurbulenceSevere Turbulence and OutflowsVisible on RadarOutflows, Severe Turbulence, andILS ApproachesRain with Light to ModerateTurbulenceLight to Moderate Turbulencewith some ILS ApproachesGood Downburst with Moderate toSevere TurbulenceLight and ModerateTurbulence
analysis. Because of the different computer systems at NASA Langley
(CDC System) and UTSI (VAX System), programs for converting data have
been developed. Of the three flights analyzed, results from Flight 6 on July
14, 1982, are reported here. The flight data include six tapes constituting
44 runs. Two runs are of too short a time duration for meaningful statistical
analysis and have been excluded. Flight 7 data for July 15, 1982, includes
one tape of five runs; and Flight 10 data for July 21, 1982, includes two
tapes of 10 runs. One run for Flight 10 is also too short for meaningful
analysis. These details are summarized in Table 2. The statistical analysis
of the data for Flight 6 only is given in this report. The analysis procedures
and description of results is described in Section 2.0. Comprehensive data
sets are given in Appendix A. Conclusions drawn from the analysis are
presented in Section 3.0.
Table 2. Summary of B-57B Flight Data During JAWS.
Flight No. of No. of No. of RunsNo. Date Tapes Runs Eliminated
6 July 14, 1982 6 44 2
7 July 1 5 , 1982 1 5 0
10 July 21, 1982 2 10 1
Short Runs:
Run No. No. of Datum Points
Flight 6, Run 7 N = 1207Flight 6, Run 9 N = 647Flight 10, Run 17 N = 847
2.0 STATISTICAL ANALYSIS OF DATA
Statistical analysis of the B-57B Program data for 44 runs from Flight
6 on July 14, 1982, is described in this section. General information and
statistical values for each run are given in Appendix A. For each run, ten
pages containing the following information per page are provided:
1st Page: Flight path information;
2nd Page: Time histories of gust velocities and gustvelocity differences;
3rd Page: Average turbulence parameters and integrallength scales;
4th Page: Probability density function for gust velocitiesand gust velocity differences;
5th Page: Single-point auto-correlation coefficient ofgust velocities;
6th Page: Two-point auto-correlation coefficient of gustvelocities;
7th Page: Normalized auto-spectra of gust velocities;
8th Page: Normalized two-point auto-spectra of gustvelocities;
9th Page: Two-point cross-spectra of gust velocities;
10th Page: List of all parameters measured and theirrange of values.
The method of computing the statistical results presented in Appendix
A is described in detail in the following subsections.
2.1 Flight Path Information
Flight direction on a topographical map, the altitude of the flight rela-
tive to the terrain contours, and horizontal wind vector recorded along the
flight path are shown and plotted on the 1st page for each run in Appendix
A. Also tabulated on these pages is the date, the time (MDT) at which the
run began, and the duration of the run in seconds.
The terrain over which the B-57B flew, in most cases, was flat. The
altitude of each run relative to the ground ranges from 250 feet in Run 23
to 2600 feet in Run 3. Most runs are flown at an altitude where it can be
assumed that the ground does not influence the turbulent wind field. In
Runs 23 and 24, this assumption cannot be applied.
In some runs, the wind direction is nearly perpendicular to the flight
path (see Run 2 as an example). In other runs, the wind direction is along
the flight path, as in Run 16 and Run 24. Many runs have a nearly constant
wind direction, as in Runs 2, 14, 15, 18, 20, 24, 34, 37, and 39. But in Runs
3, 4, 11, 13, 16, 23, 25, 26, 30, 31, 40 and 43, the wind direction changes
substantially along the flight path. This suggests the B-57B airplane may
have flown near a microburst. A microburst is a downdraft which, at the
surface, spreads out in all radial directions. The diameter of a microburst
is less than 4 km. An aircraft flying through a small-scale microburst in a
takeoff or landing approach will first encounter increasing head winds, then
the downdraft, and finally, increasing tail wind. The lift of the aircraft
will increase initially, but later will be drastically reduced due to loss of
airspeed. Several accidents have been contributed to microbursts.
2.2 Time Histories of Gust Velocities and Gust VelocityDifferences
8
The 2nd page for each run in Appendix A shows the gust velocity time
histories at the left wing tip, the center, and the right wing tip. Also, spa-
tial velocity differences for all combinations of the three probes are plotted
for the longitudinal, lateral, and vertical velocity components. The sam-
pling rate is 40 per second. Only 120 seconds worth of data is plotted for
illustration purposes, but the total data record is used in all analyses.
There are no great variations between velocities measured at the three
positions. As is later shown, the length scale of the turbulence is larger than
the wing span of the B-57B airplane (19.5 meters); and thus the difference
between the wind measurement at each of the three probes is small. The
velocity difference between any two positions is calculated. If the ratio of
velocity difference to airspeed is large, the spatial variation of turbulence
is significant. For example, in Run 17, Flight 6, the maximum velocity
difference of the vertical component between the right wing tip and the
center is 15 m/s, and the mean airspeed is 107 m/s. This represents a
14 percent spatial wind variation to airspeed ratio, which is significant in
terms of airplane controlability. Inspection of the lateral wind component
for Run 10 and Run 27, also in Run 28 after 50 seconds of the run has
elapsed, indicate these data are bad. The source creating these bad data is
not presently known.
2.3 Average Turbulence Parameters and Integral Length Scales
The 3rd page for each run in Appendix A is a tabulated listing of the
average values of several important turbulence parameters for the left, cen-
ter, and right probes designated with subscripts L, (7, and R, respectively.
The statistical parameters include mean airspeed, standard deviation of
the gust velocity, standard deviation of the gust velocity difference, and
the integral length scale. In analyzing the data, the total time history
is truncated such that the total record is a multiple of segments of 512
(or 1024) datum points. The reasdm for segmenting the data files will be
explained later.
Table 3 shows the mean airspeed for all runs in Flight 6. The average
mean airspeed for all runs is 105 m/s. The mean airspeeds at the individual
right, center, and left probes are l(k>.0, 104.2, and 105.2 m/s, respectively.
The average and standard deviation of the mean airspeed differences be-
tween all three probes and the average value at individual probes are shown
in Table 4. The mean airspeeds at the right and left probes are larger than
the mean airspeed at the nose by 1.82 and 1.03 m/s, respectively. This is
believed to be due to the influence! from the unsymmetric wake produced
from the nose of the airplane.
Table 5 lists the standard deviation of gust velocities for all runs of
Flight 6. The standard deviation of the gust velocities varies from 0.65 to
5.93 m/s for the longitudinal component, and from 0.73 to 7.48 m/s for the
lateral component. Bad data produce unreasonably high values for Runs
10 and 27. The vertical gust component standard deviation ranges from
0.62 to 4.25 m/s. The standard deviation of the gust velocity differences lie
between a low of 0.37 and a high of 1.97 m/s for the longitudinal component.
The lateral gust component standard deviation ranges from 0.29 to 1.79
m/s, and the vertical component from 0.34 to 1.96 m/s. Table 6 lists the
standard deviations of the gust velocity differences. The standard deviation
of the gust velocity, itself, is always larger than the standard deviation of
the gust velocity difference between probes. This is expected because in the
10
Table 3. Mean Airspeed (m/s) for Flight C, July 14, 1982.
RunNo.
234568101112131415161718192021222324
y j121.2111.5108.4104.0127.2101.6106.4106.2107.8112.1102.2101.5107.097.9103.596.6103.396.4102.5103.8102.9
Kc.120.3110.7107.7103.3125.9100.7105.2105.1106.7110.9101.3100.5105.996.8102.495.5102.295.6101.6102.7101.9
VJL122.2112.4109.5105.0128.0102.4107.0106.9108.6112.8103.1102.4107.898.5104.197.3104.097.6103.4104.5103.7
RunNo.252627282930313233343536373839404142434446
yr
104.8108.0105.9106.2106.1106.4102.598.497.3104.4107.6107.8104.594.9107.0105.8105.1110.3102.7106.9104.9
y r
103.0106.2104.1105.1104.9105.2101.597.696.4103.4106.6106.8103.494.0106.0104.6104.1109.2101.7105.8103.8
yR
104.2107.3105.0106.9106.7107.0103.399.398.2105.3108.4108.7105.295.7107.9106.4106.0111.1103.5107.7105.5
11
Table 4. Average and Standard Deviation of MeanAirspeed Difference Between Probes.
|= 1.82m/a ORC = O.OQm/a
|= 1.03m/5 acL = O.Um/s
= 0.15m/a
VR = 106.02m/s
= 104.2 m/3
= 105.23TO/3
12
Table 5. Turbulence Intensity for All Runs of Flight 6.
Run No.
234568101112131415161718192021222324252627282930313233343536373839404142434446
1.223.731.031.260.982.313.123.872.354.750.911.173.393.754.092.412.103.482.442.441.213.502.564.960.723.843.212.011.504.392.532.012.492.285.495.822.142.473.464.853.263.19
1.123.680.971.190.932.463.113.802.294.620.931.143.393.754.242.422.133.462.342.421.163.442.534.940.653.823.011.911.534.522.481.912.442.225.515.752.062.403.434.743.122.98
1.133.750.981.260.972.713.173.882.394.690.951.233.413.814.402.452.113.672.482.411.193.492.565.060.703.923.042.041.624.682.592.092.482.275.755.932.152.433.494.823.273.04
1.011.731.911.970.863.5020.883.251.642.370.731.851.134.774.143.552.253.004.067.450.746.045.11
314.620.802.104.735.282.792.422.013.324.264.413.293.042.802.062.673.353.533.28
1.001.811.922.020.853.5320.503.381.662.370.761.861.154.774.213.622.403.304.007.480.785.975.14
309.150.822.184.765.192.812.462.083.354.214.483.483.082.862.102.693.483.553.37
0.961.771.971.970.863.5420.633.281.542.310.731.871.114.644.113.442.333.273.877.440.805.925.06
312.160.792.214.725.162.792.292.023.284.184.453.413.062.852.082.633.503.593.22
1.402.241.221.140.683.952.603.442.092.360.940.981.193.304.253.103.773.573.581.570.952.262.100.830.722.382.531.511.412.911.992.281.851.633.242.842.992.492.833.092.722.78
1.422.041.201.090.623.872.593.392.032.220.870.741.173.314.163.113.513.423.641.550.942.211.890.830.712.222.401.471.302.811.822.091.701.523.092.692.922.312.712.8£2.572.50
1.452.101.231.170.654.652.713.452.152.250.980.941.203.414.093.193.573.443.681.551.072.432.000.820.682.422.421.531.392.922.042.201.921.623.262.843.652.442.723.002.702.68
13
Table 6, Standard Deviation of Velocity Difference for All Runs of Plight 6,
Run No.
234568101112131415161718192021222324252627282930313233343536373839404142434446
0.490.640,490.530.371.121.001.230.770,590.500.550.431.171.451.131.131.511.110.590.430.970.880.470,431.010.980.740.651.090.890.910.900,721.351.130.881,011,001,161,101,39
0.510,650.530.530.381.021.071.190.710.600.510.540.451.261.461.171,281.551.240.630.440.910.960.510.441.080.960.820.721.120.940,990.880.731.351,170,971,021,031,241.121.43
0.710.820.670.680.481.301.311.540.890.760.600.700.561.451.671.461.501.971.440.750.&31.181.210.640.561.341.211.040.861.371.191.261.120.911.701,431.141.241.241.491.381,80
0.390.600.460.480.291.111,051,260.760.560.450.490.391.241.521.271.341.791.080.580,400.940.875.660.391.101.000.770.631,070.870.880,860.731,391,101,010,950.971.241.041,37
0,390.590,430,460,331.021,101,280.790,570,430.470.411.321.541.191.421,611.19O.S80.400,950.923.370.351.090,940.750.681.090.900.920,850.691.351.100.960.970.981,251.081.39
0.400.650,480.510.321.111.211.360.820,620,470,530.441.411.681.291.371.781.220.640.431.020.923.100,381.081.010.770.721.190.950.910,900,751.431.151.041.041.061.391.191.43
0.480.660.520.560.341.341.081.340.850.650.540.520.461.481.661,441.451.631.330.670.411.050.950.460.421.171.120.860.701.281,040.950.970.811.471.311.091.111.141.481.241.56
0.460.720.480.520.361,231.171.350.860.680.510.450.451.471.621.291.331.701.330.690.461.061.000.510.431.221.030,950,741,220.991.071.020.871.481.291.051.171,161.521.281.53
0.540.83O.S60.600,381.521.341.530.930.770.610.560.511,501.931.691.661.961.470,750.501.191.050.530.491.301.290.960.781.391.131.151.220.971.611.471.271.311.321.591.431.79
gust velocity difference, the low-frequency content of the data is effectively
removed by the differencing process; but the gust velocity, itself, includes
both low and high frequencies.
The integral length scale is obtained by integrating the one-point spa-
tial lag auto-correlatiojj coefficient from zero to infinity. Theoretically, the
auto-correlation coefficient converges to unity at zero lag and zero at large
spatial lags. Due to noise in the measured data, the auto-correlation co-
efficient may oscillate about zero. The integral length scale is, therefore,
obtained by integrating the one-point auto-correlation coefficient to the
point where the auto-correlation first becomes zero.
Table 7 lists the integral length scale for all runs of Flight 6. The
length scales of the lateral and the vertical components are multiplied by
a factor of two as is suggested in the literature. The integral length scales
range from a low of 139 meters to a high of 1929 meters for the longitudinal
component, from a low of 105 meters to a high of 3824 meters for the lateral
component, and from a low of 110 meters to a high of 1697 meters for the
vertical component. In general, the integral length scales of the vertical
component are smaller than the integral length scales of the longitudinal
or lateral components.
2.4 Probability Density Function for Gust Velocities and Gust VelocityDifferences
The probability density function for the turbulent wind velocities is
defined by the expression:
_ Urn Prob[x < x(t] < x + Az]
15
Table 7. Turbulence Length Scales for All Runs of Flight 6.
Run No.
234568101112131415161718192021222324252627282930313233343536373839404142434446
1163103821672259938789662236713003395051546250261194362146149776821105575319144025929718906291912773186460354112813494379118241080503420
1329104330280159941189464535912703735001535251258190436153139799840101476918911245999559016561929718184439353112313354248767901082464370
12721042260763655
411.986664237912753374801540264255190376166151807805100470919134155929309156741914671184415349114013373689058141107446370
627559114129326511179
92429125161251733697219211551467312275110638241218200217342246426342074267617988786387881632207281381164580221722336877468
550541111628787181122
89629024481051757637213811361560128258104837361032194016992208475532004259217358135927531588203671977661371521182226827454
645554115929206981214
90832425621241824640220811981579144253105337761278201417062228696042038262818067445967911637207068080665870620882322831506
146710506943518755222868273341539186.2712113626142530716715847881111082472914438623796361102211079834361297224246258562235451479647155
159297667840586656030211613921631198694123727752033020519454110211256261304106085838760021522413234843973572232672875562<505115817''1178
1563940617411477538267100637516973826751169246428308198158496767146925834330385338558111622212371115363339212249265523237461505740161
16
where x(t) may be Wx, Wy, Wz, AWx, AWV, or AWz, respectively, and
Prob [x < x(t) < x + Arc] is the probability that the turbulence wind
velocity at a time t lies within a specified speed interval. The Gaussian
probability density function is given by:
where x is the mean value of x(t) and CT is the standard deviation of wind
velocity. The normalized Gaussian density distribution is used in the com-
parison with the experimental data.
The 4th page for each run in Appendix A contains the probability
density function of the turbulence wind velocities. Data measured by the
B-57B airplane for all three different probe positions and for all three ve-
locity components (longitudinal Wx, lateral, WY, and vertical Wz) are
plotted. The normal probability density function (solid line in each fig-
ure) is superimposed for comparison. The upper half of the figure shows
probability distributions of the three individual gust velocity components.
On the bottom half of the figure, the probability distributions of the gust
velocity differences are shown. The letters CR, CL, and RL indicate the
probe positions between which the difference is calculated: CR refers to
the right wing tip and the center; CL refers to the center and the left wing
tip; and RL refers to the right and left wing tips. The results of these
probability density calculations for the turbulence measured during Flight
6 do not fit the normalized Gaussian distribution very well. One reason
may be the short time record used in the computation. For example, in the
17
time history for Run 16, the wind velocity of the longitudinal component,
Wx> g°es from a large positive value to a small negative value over the du-
ration of the run. After becoming a negative Wx, it never again obtains a
positive value, however. In turn, the probability density of the longitudinal
velocity component for this run, Run 16, is not of a normalized form. The
reverse situation (going from a negative value to a positive value) occurs
to the longitudinal component in Runs 27, 38, and 39, and to the lateral
component in Runs 23, 25, 26, 31, and 37.
When comparing the velocity difference between two different posi-
tions, the probability density function is symmetric or more nearly the
Gaussian form. Nevertheless, the experimental probability exceeds the
magnitude of the theoretical Gaussian probability at the most probable
velocity.
The results obtained from Runs 10 and 27 for the lateral component,
and in Run 28 for all three components indicate bad data.
Since the normalized Gaussian probability density underestimates the
probability of velocities near the mean velocity, and tails of the distribu-
tion while overpredicting intermediate values, new probability models were
investigated.
The Student T probability density function was first analyzed. Ban-
dat and Piersol (1971) reported that the normalized Student T probability
density function is given by:
P(X] =
18
where n is the number of degrees of freedom. A comparison of Student
T (with n = 2), the Gaussian probability, and a sample of the the mea-
sured data is shown in Figure 2. The Student T distribution, however,
underestimates values near the mean velocity even more than the Gaussian
probability. When the degrees of freedom approach infinity, the Student T
model becomes identical to the Gaussian form. Since the measured data
are always higher than the Gaussian model near zero (mean velocity), the
Student T model is not a good distribution for modeling atmospheric tur-
bulence.
Another distribution used to correlate the data is a non-Gaussian prob-
ability density model by Reeves, et al. (1974). This model combines three
independent Gaussian functions, a(t), 6(t), and c(t). The procedure of com-
bining these functions is shown in Figure 3. The first step is to multiply
the Gaussian probability density function a(t) by b(t). The probability
distribution for the product d(t) = a(t) b(t) is:
f°° \ t \ tx\ , i \ ( x\\ **!\Pa(ri)pb(-)+Pa(-ri)pb(--)\--Jo L *? *? J *?
This new probability function is then added to the Gaussian function c(i)
after first multiplying both functions by appropriate scale factors. The
resulting variate u(t)
u(t) = c(t)-v'l + r2 v ' VT + r2
then has non-Gaussian probability density function:
19
Non-GaussianGaussianStudent T
W
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
Normalized Velocity Differences (Standard Deviations)
Figure 2. Comparison of probability density function forgust velocities and their differences withtheory, Flight 6, Run 42. (n = 2, r = 1.5)
20
a( t )
b(t)
multiply
c(t)
/I + r2
1/1 + r2
sum^ u(t)
scale factors
Figure 3. Flow chart of non-Gaussian Turbulenceprobability model.
21
.. _ 1(1 + r')* ___ _2 < 7
/-,/„ ll
where r is an adjustable parameter. A detailed derivation of this equation
is given by Reeves, et al. (1974 and 1976). The range of the parameter r is
from zero to infinity. If r equals zero, the function is exactly the Gaussian
function; however, as r increases, the value of the non-Gaussian probability
density function at zero increases. The non-Gaussian probability density
function with an r value equal to 1.5, the Student T probability density
function with the degree of freedom, n, equal to 2, and the Gaussian prob-
ability density function are compared with typical measured data in Figure
2.
The non-Gaussian density function fits this particular set of measured
data best for r = 3, as shown in Figure 4. By adjusting r, the non-Gaussian
form provides the closest fit to the experimental values. The value of r
which gives the best fit of the data, however, changes for different velocity
components and from run to run. Hence, the value of r depends upon the
velocity component being curve fit as well as the particular run. Table 8
lists suitable values of r for the three components of the gust velocities and
gust velocity differences from Flight 6. Bad data sets are marked with the
symbol X. For some data sets, the shape of the probability density is not
a symmetric bell shape (for example, the longitudinal component of gust
velocity for Run 3), and these runs are marked with a A symbol. The r
value varies from 0.5 to 7.5. The average value for all runs is r = 2. The
standard deviation of the distribution for r is slightly larger for gust velocity
than for gust velocity difference. On the other hand, the mean values of
22
Non-GaussianGaussianStudent T
i.o
0.8
R - Right wx
_C - Center _L - Left
5. -5. 5. -5.
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized' Velocity Differences (Standard Deviations)
Figure 4. Comparison of probability density function forgust velocities and their differences with theory,Flight 6, Run 5. (n = 2, r = 3)
23
Table 8. The Value of the Parameter r of Nou-'Jaussian Prob-ability Deusity Function for All Runs of Flight 6.
Run No. rW]
234568101112131415161718192021222324252627282930313233343536373839404142434446
rera«
AA3214AA2.5A11.5A3.51213.52.53.51.5A3.5AX2A1.51.52.521A3AA1.511.5A11
: 2
2.5A2.52.523X11.521A1.5A1.5A1.52.53A2.5AAXX1AA11.511.5AA10.51.511.5A1.51.5
1.7
7.51.5431.563.522.51.51.51.531.52.51.551.542.522.53.52.5X111.51.5211.51.51.51.522.52.51.521.51.5
2.3
2221.511.522.521.51.51.51.51.521.52.522.52.51.522.51.5X1.52.51.51.5221.51.51.521.51.51.51.51.51.51.5
1.8
2.532.53.51.52X2.52.52.5221.52.52.523.52.523.52.52.52.5XX22.521.51.5222221.521.51.521.51.5
2.2
33.533232.52.522.522233232.52.54.52321.5X2.52.51.522222221.5221.52.522
2.3
Total average = 2
a 0.95 0.69 1.35 0.28 0.55 0.60
24
r for the probability distribution components of gust velocity and for gust
velocity differences vary little.
2.5 Single-point Auto-correlation Coefficient of Gust Velocities
The single-point auto-correlation function for the turbulence wind ve-
locity is defined as
lint->™— > 00
1 fr1 JQ
where x(t) is time history of turbulence wind velocity with zero mean value,
and T is the lag time. This correlation when normalized by the variance is
called the correlation coefficient and is defined as:
where crx is the standard deviation. The single-point auto-correlation coeffi-
cient, BX(T), has an absolute value equal to or less than unity. An alternate
method for calculating the auto-correlation is to use a Fast Fourier Trans-
form (FFT) as described later.
The single-point auto-correlation coefficients of the severe turbulence
wind velocities at three different positions, right wing tip, left wing tip,
and nose, are presented on the 5th page of each data set for a given run
in Appendix A. Correlation coefficients for all three wind components, the
longitudinal, lateral and vertical, are given. The symbols WX,WY, and Wz
indicate the longitudinal, lateral, and vertical components relative to the
aircraft frame of reference, respectively. Subscripts R, L, and C refer to
25
the positions of right wing tip, left wing tip, and center, respectively. For
example, WXR presents the longitudinal component at the right wing tip.
All auto-correlation coefficients are plotted with the spatial lag distance as
the independent variable. Calculated auto-correlation coefficients decrease
from unity to zero and fluctuate about the zero axis as the spatial lag dis-
tance becomes large. The area obtained by integrating the single-point
auto-correlation coefficient from zero lag to the point where the correlation
coefficient first becomes zero is multiplied by the mean airspeed to estimate
the integral length scale. Since the mean airspeed remains nearly constant
throughout the flight, the plots of the auto-correlation coefficients indicate
the relative size of the integral length scales. There are no significant differ-
ences between the correlation from the three different recording stations for
a given wind velocity component, but there is a difference for the different
components.
The single-point auto-correlation coefficient of the vertical component
decays faster than the lateral and longitudinal components. A slower decay
of the auto-correlation coefficient is related to the low frequency of the
wind velocity. For example, in Run 17, there is lower frequency content in
the lateral component than in the longitudinal component as is seen in the
figure of the wind velocity time histories. As expected, the decay of the
single-point auto-correlation coefficient is slower for the lateral component
than the longitudinal component. The results indicate bad data for the
lateral component in Runs 10 and 27, and for all three components in Run
28.
The theoretical model for the single-point auto-correlation coefficient,
B(a), developed by von K arm an for three velocity components is expressed:
26
where a = 1.33, K" is a modified Bessel function of the second kind, L is
the turbulence length scale, and s is the spatial lag distance. Comparisons
of the theoretical models with the experimental data are shown in Figures
5 through 8. For the longitudinal velocity component, the auto-correlation
coefficient of the measured data is higher in value than that predicted by
the theoretical von K arm an model. For the lateral velocity component, the
auto-correlation coefficient agrees with the von Karman model; but for the
vertical velocity component, the auto-correlation coefficient is lower than
the value predicted by the von Karman model.
2.6 Two-point Auto-correlation Coefficient of Gust Velocities
The two-point auto-correlation of turbulence is a correlation between
the same velocity components at two different positions separated by a
distance s. The two-point auto-correlation function, Rx(s, T), is defined as:
oo1 /" , +r x(t,2 J0
where a is the separation distance, T is the lagtime, and x designates any
one of the velocity components Wx, Wy, or Wz- The symbol £ indicates
position. The two-point auto-correlation is normalized with the product
27
cV'o
OCJ
do
OJu
o->
<
1.0
0.0
-1.0
1.0
0.0
-1.00.0
von KarmanB-57BWv
von KarmanB-57B
von KarmanB-57BW,
0.2 0.4 S/L 0.6 1.0
Figure 5. Comparison of single-point auto-correlation ofgust velocities with theoretical model? compositeof Runs 2 through 13.
28
c<D'•-*o
ao
IH
OOIo
.4.)
3
1.0
0.0
-1.0
1.0
0.0
-1.0
_L
von KarmanB-57BWv
von KantianB-57B
von KarmanB-57BW,
0.0 0.2 0.4 s/L 0.6 0.6 1.0
Figure 6. Comparison of single-point auto-correlation ofgust velocities with theoretical model; compositeof Runs 14 through 23.
29
c.o
Co•t~*-t->
JS0.)
uoO
1.0
0.0
-1.0
i .O
0.0
von KarmanB-57B
von KarmanB-57B
-1.0
von KarmanB-57BW,
0.0 0.2 0.4 s/L 0.6 0.8 1. (I
Figure 7. Comparison of single-point auto-correlation ofgust velocities wi th theoretical model; Compositeof Runs 24 through 33.
30
cV'o
Vo
o.tj
1.0
0.0
-1.0
von KarmanB-57BWv
von KarmanB-57B
1.0
0.0
-1.0
von KantianB-57B
0.0 0.2 s/L 0.6 0.8 1.0
Figure 8. Comparison of single-point auto-correlation ofgust velocities with theoretical model; Compositeof Runs 34 through 46.
31
of the standard deviations for positions £ and £ + a, respectively. The
two-point auto-correlation coefficient is defined as:
B (8 T\ = R*(8'T)
where <rz and ax> are the standard deviations of x(£,t) x(£ + s,t), respec-
tively. The absolute value of BX(S,T) is less than one. The Fast Fourier
Transform technique is also an alternative method to calculate the two-
point auto-correlation.
The two-point auto-correlation coefficients are plotted on the 6th page
of the data set for each run in Appendix A. All three components, Wx, WY,
and Wz are correlated between all three measuring stations. The right wing
tip and the center is designated by RC, the center and left wing tip by CL,
and the right wing tip and left wing tip by RL. For example, the subscript
WXRC represents a correlation between the longitudinal components at the
right wing tip and the center position.
Since the time histories of the same component at the three different
positions do not differ much, the two-point auto-correlation coefficients are
similar to the single-point auto-correlation coefficients. This is a direct
consequence of the fact that the characteristic length scale of the turbulence
is very large compared to the length of the aircraft wing span. As expected,
at zero spatial lag, the two-point auto-correlation is not unity. In general,
the two-point auto-correlations decay faster for the vertical component than
for the longitudinal or the lateral component.
The correlations are also related to the wind direction along the flight
path, which is shown on the first page for each run in of Appendix A. To
understand this effect, first consider the longitudinal wind velocity compo-
32
nent. When the longitudinal wind velocity component changes gradually
from a head wind to a tail wind (or vice versa), the correlations decay
slowly. Examples that illustrate this are Runs 3, 13, 16, 23, 25, 26, 29,
30, 42, and 43. If the longitudinal wind component changes very quickly
from a head wind to a tail wind and back to a head wind repeatedly, the
correlations decay faster than in the previous case. Examples are Runs 17
and 40. In other cases, the longitudinal wind component does not change
polarity (i.e., remains either a head wind or a tail wind for the duration
of the flight), and the magnitude changes smoothly. The correlations then
decay very slowly as illustrated by Runs 31, 32, 33, 34, 38, 39 and 41.
Now consider the lateral wind velocity component. When the wind
changes direction gradually from the left side to the right side (or vice
versa), the correlations decay rapidly as shown by Runs 11, 33, 44, and 46.
hi other cases, the wind does not change direction, but the magnitude of
the wind velocity changes smoothly. The correlations then decay slowly as
in Runs 13, 25, 31, 32, 36, 37, 42 and 43.
The effect of bad data is again observed in runs Runs 10, 27 (lat-
eral component only) and Run 28 (all three components) and should be
discarded.
2.7 Normalized Auto-spectra of Gust Velocities
The single-point auto-spectrum density function of turbulence is a
measure of the frequency distribution of the wind kinetic energy. The
auto-spectrum is defined as the Fourier transform of the single-point auto-
correlation in the following way:
•(/)-£33
where / is frequency, r is lag time, and j is %/— I and x is any of the
three wind velocity components Wx, Wy> and Wz- In this equation, the
frequency / ranges from negative to positive infinity. This spectrum is two-
sided; but because of the symmetry of the single-point auto-correlation, the
spectrum is also symmetric:
The negative frequency does not have a physical meaning and, hence,
the one-sided spectrum density function is introduced:
*,(/) = 2Sx(f)
= 2 °° Rx(T)e~3'2irfTdT— 00
The frequency ranges from zero to infinity. Since the single-point auto-
correlation function is an even function of T, and there is no phase angle,
the auto-spectrum is given by the real part of the Fourier transform only:
*,(/)= 4 / Rx(T)eoaZirfrdrJo
Similarily, the single-point auto-correlation is the Fourier inverse trans-
form of the single-point auto-spectrum.
Rx(r)= ' r*Jo
when T equals zero, this becomes the square of the standard deviation:
= r°./o
34
An integration of the auto-spectrum between two frequency limits, /i and
/2, represents the wind kinetic energy in the frequency range fi to fa.
Another way to calculate the auto-spectrum density function is by
applying a direct Fourier transform to the turbulence wind velocity data.
This method is much more convenient and saves computer time; therefore,
it is used to compute all auto-spectra given in this report.
The theoretical von Karman model for the auto-spectrum density func-
tion, $, for all three velocity components is expressed as follows:
a is the standard deviation; L is the integral length scale; K is the wave
number, w/V; u> is spatial frequency and V is mean airspeed. On a loga-
rithmic plot, an increase in the standard deviation will increase the area
under the curve. The length scale also affects the shape of the spectrum
primarily in the location of the "knee" of the curve.
In computing the auto-spectrum density function of turbulence, the
data record is normally divided into segments each of 512 datum points.
However, in some runs, because longer time records were available, the
segments consist of 1024 datum points. The number of datum points in
each segment determines the lowest frequency of turbulence wind energy in
35
the computed spectrum. On the other hand, the accuracy of the spectrum
increases with the number of segments used. The highest frequency of the
auto-spectrum is the cutoff frequency, or Nyquist frequency, fe, and is given
by one half of the sampling rate. The B-57B airplane instrumentation has a
sampling rate of 40 Hz; therefore, the cutoff frequency is 20 Hz. The lowest
frequency is 0.078 Hz for 512 datum points and 0.039 Hz for 1024 datum
points. The auto-spectrum is normalized by the square of the standard
deviation. The normalized auto-spectrum is plotted versus wave number
K on the 7th page for each run in Appendix A. The figures on this page
present spectra for each run at all three recording positions and for all three
wind components. In order to eliminate the uncertainty occuring at high
frequency (which is discussed later), the auto-spectra are plotted only to a
frequency of 5 Hz.
hi Figure 9, the normalized auto-spectra of gust velocities are plotted
for Run 5 of Flight 6. An abnormal spike occurs in the left wing tip spec-
trum of the longitudinal component at a frequency of about 10 Hz. Wind
components are calculated from several parameters measured by various
instruments on the B-57B airplane. To determine the source of this spike
in the spectra, each of the parameters used to calculate Wx were carefully
analyzed. The longitudinal wind component is calculated in the following
way:
Wx(t) = VB(
V(t) = (65.76881)(0.3048)MV/T^
/ /„ \2/7 \ 1/2
-)36
ORIGINAL PAGE ISOF POOR QUALITY
101
10-
101
¥ ->10
io-3
101
SEG.= 8
SEG.= 8
N=1024+ SEG.= 8
SEG.= 8
N=1024SEG.= 8
SEG.= 8
I , Illlllll || il r i ,i.mil in I .,,11111! i ii.i.iil i . inii.l i i .,ml i I iinij j I I n.ill
IO"1 io1 icr1 io1 io-1 io1
f (Hz)
Figure 9. Normalized auto-spectra of gust velocities showingspike in the longitudinal spectra, Flight 6, Run 5.
37
\2/7 I*W. , i \ 9
k p ) ~ 1 + (L2M2
where the symbols are defined in the list of nomenclature. In these equa-/v
tions, only the term V(t) differs noticeably at the three different probes.
The parameters used to compute V(t) are qc,p, and Tc. Thus, these pa-
rameters need to be investigated further. Figure 10 shows the spectra for
these parameters. There is an obvious problem with the measurement of
impact pressure at the left wing tip boom, and a slight problem with the
measurement of free stream-static pressure. The spectrum for the free
stream-static pressure approaches a constant at roughly 5 Hz indicating a
high noise level. Velocities computed from measurements at all the probes
use the same free-stream static pressure measurement.
Several spectra for qcL ^d for Pf showed these same characteristics
while others behaved perfectly normally. It is believed that water droplets
in the pitot tube inlet were responsible for these data abnormalities. Since
this error always occurs at frequencies higher than 5 Hz, the spectra pre-
sented in the report are truncated at 5 Hz.
Additional biasing in the energy spectrum is identified by a rise in
the high-frequency region. Houbolt suggests this is due to the "top hat"
digitizing of turbulence data and proposes a correction factor to account
for this effect:
Here w is spatial frequency and At is the time increment. This correction
38
>. I....... . I-..... . I...,
I — , , _ f _ i *•••••' * ' -.>•••" • • '-•" f i- (-mr*> o- v/» u> r*.'o *o 'o 'o o
r>i
oCM
QJ
Q.
O0
-a0)
0)
.a
Oaia.
<D3O)
39
factor has almost no influence on the signal in the low-frequency region,
but it decreases the spectrum value in the high-frequency region. In Figure
11, the effect of this correlation factor is illustrated. Symbol 1 represents
the spectrum without, arid Symbol 2 represents the spectrum with, the
correction factor. The difference between Symbols 1 and 2 is obviously
greatest in the high-frequency region.
To analyze the influence of the Houbolt correction factor, a decaying
exponential time series given by:
is investigated. The decay rate is defined by the constant, a. From this
equation, the single-point auto-correlation is calculated using the Fast Fourier
computer algorithm. In turn, by taking a Fourier Transform of the auto-
correlation, the exact spectrum is obtained. The exact result is:
"2o — 2(o cos irfT — 2irf sin
T is total record time. To check the correction factor, the analytical curve
is digitized with the following described parameters: o = 0.1, At = 0.1
second, N = 512, A/ = 0.0391?*, and T = 51.2 seconds. These results
are shown in Figure 12. The solid line represents the exact spectrum, and
the symbols represent the digitized signal without the correction factor and
with the correction factor, respectively. The theoretical line coincides with
40
10* r-
$ 10°
10-z
N = 512SEG. = 10
1 - without correction factor2 - with correction factor
io- 10°K = cj/V (m"1)
Figure 11. Normalized auto-spectra of gust velocitiesshowing influence of the Houbolt correctionfactor, Flight 6, Run 42.
41
o•!->O
CO
oo>L.s_oo
3o
(VIII
"I O
n~ t
-M <T3
O -Mcn-i-
C i)
0)4-> (C
Q- CD
O IIO
<o o•!->
i— (/)(T3 -r-O -C
s-o
Co
u<us_oo
oJD3O
^r
is- N
I
OJ"I
CDo
S_ -r- •O -l-> CQ) O
•*-> QJ 4-1
N UH- ••- 01O r- S-
(O S_c cu oo -o u
i- C 3ro n3 oQ. JCE S- 4JO O ••-
OlS-
cr.ul
U)« BOt
42
the exact spectrum, when the correction factor is applied. Although the
correction has not been used in the analysis, it is recommended for use in
subsequent analyses.
As mentioned previously, smoothing is accomplished in all spectra plots
by ensemble averaging. The smoothing procedure is carried out in the
following way.
The original time record, Tr> is divided into q separate segments, where
each time segment is of length T'. The smooth spectrum is given by:
where $'k is the spectrum at frequency fa of the qth time slice. The band-
width Be with this approach becomes l/Tr'. Thus, the degree of freedom
is:
n = WeTr = 2<?
The normalized standard error, Er, is then given by
Therefore, the larger the value of q becomes, the smaller the normalized
standard error. In this study, the parameters used are At equals 0.025
second; /«. is 20 Hz. The total sampling time, Tr, for each run ranges in
length from 38.4 seconds to 128 seconds; the total number of datum points,
43
W, varies from 1536 to 5120. The number of segments, q, varies from 8
to 10 depending upon the length of each run. The time segments, T/, are
either 12.8 seconds (512 datum points) or 25.6 seconds (1024 data points).
The bandwidth, Be, is either 0.039 Hz or 0.078 Hz. Calculations of rms
error range from 32 percent in Run 33 to 58 percent in Run 8.
In Figure 13, the von K arm an spectrum model is compared with the
normalized auto-spectra of all three gust velocity components from Run
2 through Run 24, measured at the center probe. The experimental data
fit the von Karman spectrum reasonably well considering the data are, in
fact, nonstationary in the statistical sense. However, there is substantial
scatter in the data. Longer data records would reduce the scatter, i.e., more
effective ensemble averaging. Figures 13 and 14 illustrate this phenomena.
Figure 14 is a similar comparison of the von Karman model with measured
data, but it is taken from Runs 25 to 46. The average number of segments
used in the ensemble average in Figure 13 is 4.7; but in Figure 14, it is
5.9. Thus, the measured data given in Figure 14 are slightly smoother
than those in Figure 13. Due to the length of the records, no results below
0.039 Hz can be calculated. Note also other techniques of selecting L would
provide a better fit to the von Karman model (see Houbolt, et al. 1964).
Comparison of von Karman's theoretical auto-spectrum model with
experimental data measured by the B-57B airplane is shown on Page 7
of the Appendix for each run. The symbols Wx, Wy, and Wz represent
the longitudinal, lateral and vertical components, N is the number of data
points, and SEG. represents the number of segments used in each run.
Generally, the experimental auto-spectra compares reasonably well
with the von Karman spectrum model. A few cases, however, where the
44
ORIGINAL PAGE 7SOF POOR QUALITY
QJ
OO
Ol
4-> CMl/l13 _c:en co4- o0 i-
.c(0 +->i.
-t-> C\JoO) tOQ. C(^ 31 CtLO
(O O)-o
4- OO E
O (O
(O ^Q.E co o
01
45
PAGE Is
QUALJTY
12
-3
-3
3 O
oO
COO)
UO
> VO
01 _C
§,§•
i. LD+-> 00oOl 10CL C01 3
O)
coco
Q.
a§C-J >
01
cn
to
Io
46
experimental auto-spectrum does not fit the theoretical model, may be
explained as follows. First, consider the case where the value of the experi-
mental auto-spectrum is larger than the value of the von Karman spectrum
model at a given wave number. Such examples are the longitudinal com-
ponent in Run 41; the lateral component in Runs 24, 33, 41, 42, and 43;
the vertical component in Runs 11, 16, 24, 33, 34, 43, and 44. The von
Karman spectrum model is a function of the integral length scale. In this
case, the large integral length scale resulted in a poor fit for the experimen-
tal auto-spectrum with the von Karman model. The explanation for the
large integral length scale can be found by examining the plot of the single-
point auto-correlation coefficient. The auto-correlation normally reaches
zero and then oscillates in a sinusoidal manner about zero. But, in the
cases under discusssion, the auto-correlation does not reach zero before the
sinusoidal behavior begins. Thus, only at a large spatial lag does the auto-
correlation become zero, which, as noted earlier, is taken as the cut-off of
the integration in the length scale calculations.
A second case to consider is the situation where the value of the exper-
imental auto-spectrum is less than the value of the von Karman spectrum.
Examples are the longitudinal component in Runs 3, 13, and 16; and the
lateral component in Runs 23, 25, 31, and 37. In these cases, the integral
length scale which is used in the von Karman model is too small to provide
a reliable fit with the experimental spectrum. Li turn, the auto-correlation
coefficient decays linearly and too quickly. The reason for this rapid decay is
that the corresponding time histories display the following behavior. Divid-
ing the time history into two parts, one half is above zero, and the other is
consistently less than zero. These records apparently contain considerable
47
patchiness or nonstationarity.
Because the proper length scale is difficult to determine, calculations
of auto-spectrum without directly computing the length scale was investi-
gated. Consider the equation for the von Karman spectrum model. The
length scale is one of the parameters, but the length scale can be com-
bined with other parameters to form a new variable. This new variable can
be determined by applying a curve fitting technique to the experimental
data. For example, the von Karman model for the longitudinal component
is expressed:
* [1 + (1.339L*)2]5/6
assuming that LK > 1.
TT (1.339L/c)5/3
(1.339K)6/3
By rearranging this equation, it becomes:
At a certain wave number, say KJ, there is a corresponding value of
the experimental spectrum $(KI) illustrated in Figure 15. The parameter
48
(<r2/L2/3) can then be evaluated at several wave numbers and an average
estimated.
The spectrum equation of the von Karman model can be written:
2^TT0" \
(1.339^)2
Now the value of (<r2/L2/3) is substituted into this equation and the
von Karman spectrum is evaluated without use of the integral length scale.
Figure 16 shows a comparison of experimental data with the von Kar-
man spectrum equation using the integral length scale and that determined
by the curve fit method for Run 42. The curve fit always passes through
the data to which it has been fitted. The von Karman spectrum, based
on the directly integrated integral length scale model, correlates most data
well but is not as reliable as the (Zr2/3/<72) parameter model.
2.8 Normalized Two-point Auto-spectra of Gust Velocities
The two-point auto-spectrum density function is defined as the Fourier
transform of the two-point auto-correlation function between the same ve-
locity component at two different positions. It is expressed as:
= 1^J — oo
where subscripts x and x' denote the velocity components for the same
direction (i.e., longitudinal, lateral or vertical)but separated by the spatial
separation distances. The frequency / is a parameter that can vary between
49
N = 512SE6. = 10
i•i.,
T n£ 10U
•e
ID'2
' »<Vef> ,'
-
1C'2
'.V
^'HV'-1
>Tyi
. ...,...! , . J
ef 10~2
V (m'1)
Figure 15. Illustration of selection of reference $(Kref) f°r
normalized auto-spectra of W D velocity, Flight 6,Run 42. XK
50
Mb
10Z
10°
10-i
10a
10°
io-'
10s
10°
von Karmancurve fitN= 512SEG.=10
von Karmancurve fitN= 512SEC.=10
,,,J 1 . ,,.„„!von Karmancurve fitN= 5125EG.=1
von Karmancurve fitN- 512SEC.=10
WXC
von Karmancurve fitN= 512S E G . l O
jj_ uLvon Karmancurve fitN= 512SEG.flO
von Karmancurve fitN- 512SEG.=10
Wy,
ml , , ,,,.J
von Karmancurve fitN= 512
SEC.-10WYR
von Karmancurve fitN= 512SEG.plO
WZR
10-8 10° 10'8
/c = cj/V
10- 10°
Figure 16. Normalized auto-spectra of gust velocit ies,Flight 6, Run 42.
51
minus and plus infinity. The two-point correlation -Rz,x '(a,r) is integrated
over time, r, from negative to positive infinity. Because J2x,Z '(a,r) is not
an even function, the spectrum density function SXtXi(s,f) is generally a
complex number and is called a two-sided spectrum. The one-sided two-
point atito-spectrum density function $x,x'(s, f) is similar, but it is defined
only for all positive frequencies as:
= 2J —
where the real part, CXjX>(s, f) is called the coincident spectral density func-
tion, and the imaginary part, Qx>x '(8,f), is called the quadrature spectral
density function. It is convenient in practice to represent the two-point
auto-spectrum in terms of a magnitude and a phase angle in the following
way:
where
I *,„•(», /) 1= yc2,..(«,/) + <£,,.(«,/),
and
52
Another method to compute the two-point auto-spectrum is to perform
a direct Fourier transform on the two turbulence wind velocity time histo-
ries. This method is used because it is convenient and fast. The quadrature
spectrum,Qx,x', ls always smaller than the coincident spectrum, CX f X i , for
frequencies less than about 0.4 Hz. However, for higher frequencies, these
two spectra are of the same order. Figure 17 shows this phenomena for
Flight 6, Run 42. Plotted are the three velocity components correlated
between the right wing tip and the center position. The coincident spectra
have the highest value at a frequency equal to 0.078 Hz, and then decrease
to near zero at a frequency equal to 1 Hz. The quadrative spectra have
values near zero for all frequencies. The results are similar for other runs,
except that the coincident spectra decay faster in some of the runs. The
magnitude of the two-point auto-spectrum is normalized by dividing it with
the product of the standard deviations for the individual velocity time his-
tories at each location in space.
On the 8th page for each run in Appendix A, the normalized two-
point auto-spectra are plotted versus wave number, K:. The figures include
three different separation positions and three velocity components. The
subscriptions CZ/, RC, and RL represent the separation positions between
the center and the left wing tip, between right wing tip and the center, and
between the right and left wing tips, respectively. For example, WXCL rep-
resents the longitudinal velocity component correlated between the center
and the left wing tip. N is the number of datum points in each segment
of the time history used for calculating the spectrum by the fast Fourier
transform technique. Frequencies higher than 5 Hz were not plotted be-
cause of the uncertainty in the data at high frequencies, as described earlier.
53
90.
50.
.-10.
to
oOlQ.10
4JC0)-U
(JC
Oo
90.
50.
0._in
WYRCN = 512SEG. = 10
: \__i i i i i
WXRCN = 512 SSEG. =10 oo>
Q.CO
QJS-3
4-^roL-•o
_ \ 3
• "•-•••« °
1 1 1 1 1
WZRCN = 512SEG. = 10
—
: Vsi i i i i
- WYRCN = 512SEG. = 10
-
i i i i i
WXRCN = 512SEG. = 10
"*
_
1 1 1 1 1
WZRCN = 512SEG. = 10
i i i i i
10-2 10' 10-2 10'
f (Hz) f (Hz)
Figure 17. Coincident spectra and quadrature spectra ofgust velocities, Flight 6, Run 42.
54
The magnitude of the two-point auto-spectra decays almost linearly in the
high-frequency region on a logarithmic plot.
The results of the two-point auto-correlation calculations are close to
the results of the single-point auto-correlahion calculations for the same
velocity component. The theoretical model of the two-point auto-spectrum
developed by Houbolt and Sen (1972) shows that this spectrum is a function
of the ratio of separation distance to length scale (fl/L). Not surprisingly,
when s/L approaches zero, the properties of the two-point auto-spectrum
approach the properties of the single-point auto-spectrum. In Flight 6, the
values of s/L range from 0.0051 to 0.13 for the longitudinal, from 0.0025
to 0.156 for the lateral, and from 0.0058 to 0.189 for the vertical velocity
component. Again, abnormal results in Runs 10, 27, and 28 are attributed
to bad data.
Houbolt and Sen developed a theoretical model for the two-point auto-
spectra function. They considered the gust field to be homogeneous and
isotropic. In their derivation, the velocity fluctuation, Wx- was taken as
the value perpendicular to the line of separation. This, however, is not
correct since Wx is generally defined in the direction of the aircraft body
axis. Figure 18 illustrates the various parameters referred to in the text.
To correct Houbolt and Sen's two-point auto-spectral function, a Fourier
traasform of the correlation:
a ^
is required where RWNWN($) and PWPWP($] are the conventional longitu-
55
dinal and lateral turbulence correlations (Frost and Moulden, 1977). By
performing a Fourier transform on the two correlation functions, RWNWN
and RwpWp, a corrected equation for the spectrum can be found. This
equation is complicated, but has a closed form integral solution reported
by Campbell and Foster, 1954. The solution of $wxwx ls:
( r \ 2 (-J |o.054
°-097
where
L is the length scale, V is the mean airspeed, and K is a modified Bessel
function of the second kind.
Houbolt and Sen's original equation was given by:
The new equation, and Houbolt and Sen's original version, are compared to
experimental data in Figure 19. The new equation is plotted as a solid line
and Houbolt and Sen's equation is represented by a dashed line. The flight
data is the computed two-point auto-spectra of the longitudinal velocity
component between the right wing tip and the center position for Flight
57
o
10'
10-2
New Equation
Houbolt and SenEquation
10-4
10-3
Figure 19.
10
(nf1)
101
Comparison of the two-point auto-spectrum withHoubolt and Sen's normal equation and therederived equation, Flight 6, Run 42.
58
6, Run 42. The new equation gives slightly better agreement with the
experimental data than Houbolt and Sen's original equation.
2.9 Two-point Cross-spectra of Gust Velocities
The cross-spectrum density function of two different velocity compo-
nents is found by taking a Fourier transform of the cross-correlation func-
tion. The two different velocity components can be taken at the same
location or at two different locations. The equation for the two-point cross-
spectrum is similar to that for the two-point auto-spectrum except that
different velocity components are used.
The magnitude of the cross-spectra of turbulence velocities versus wave
number, K, are plotted on the 9th page for each run in Appendix A. This fig-
ure includes all possible combinations of the three velocity components be-
tween the three positions. The symbols LL, LC, LR, CL, CC, CR, RL, RC,
and RR represent the positions at which the two velocity components were
measured. Frequencies higher than 5 Hz are still cut off because of the
uncertainty in high-frequency measurements.
Since the time histories of the same velocity component at the three
positions are similar, the cross-spectra have similar shapes for the same
two velocity components at various locations. For example, the Wx Wz
components have the cross-spectra plots that look alike for all nine location
combinations: LL,LC,LR,CL,CC,CR,RL,RG, and RR. For Wx Wz,
Wx Wy, and Wy Wz, the cross-spectra show different energy distributions
for low wave numbers (« less than 0.03), see Run 18. For higher wave num-
ber between 0.03 and 0.3, the cross-spectra have nearly the same shape for
a given run. In theory, the cross-spectrum between the longitudinal and
59
vertical velocity components in the atmospheric boundary is larger than
the cross-spectrum between the lateral and vertical velocity components,
and between the longitudinal and lateral velocity components. For Flight 6,
the cross-spectrum between the lateral and vertical velocity components is
about the same order of magnitude as the cross-spectrum between the lon-
gitudinal and vertical velocity component. This suggests at the altitude of
Flight 6 measurements, the turbulence is approaching isotropic conditions.
The relation between the coincident spectrum and quadrature spec-
trum in a two-point auto-spectrum is much different from a single-point
cross-spectrum. The quadrature spectrum of a single-point cross-spectrum
does not need to be less than the coincident spectrum in the low-frequency
region. Figure 20 shows the coincident and quadrature parts of the cross-
spectrum for Run 39 measured at the center probe. The quadrature spec-
trum of Wx Wz is larger than the coincident spectrum in the low-frequency
region in Run 39. The same phenomenon occurs to Wy Wz and Wx Wy
spectra. However, for the other runs, it is difficult to say which spectrum
is larger.
2.10 List of All Parameters Measured and Their Range of Values
On the 10th page for each run in Appendix A, a table is presented for
each run which lists all parameters recorded during a flight: the units, the
maximum and minimum values, the mean value, the root mean square value
and the total number of data points for each parameter. These parameters
are stored on magnetic tapes in the following order:
1. Mountain Daylight time in seconds for each record (t);
2. Roll rate measured by body-mounted roll-rate transducer (positive
60
90.
50.
0.-10.
(O
OOlQ.</)4Jc0)T3•n-OC"
•^OO
90.
50.
nu •i r>
wx wzN = 512SEG. = 6
-
/v, „„.„„.1 1 1 1 1
WX WYN = 512 £SEG. =6 £
cud.i/l
CU
~^_ 4^
(Os~
T3ra
— 3
1 1 1 1 1
WY wz
N = 512SEG. = 6
-
-
i i i i i
My wz
N = 512SEG. = 6
-
; \i i i i i
W X W YN = 512SEG. = 6
_
__
"""
\i i i i i
- W Wwx wzN = 512SEG. = 6
i "I"*' i i i
10 10' 10" 10'
f (Hz) f (Hz)
Figure 20. Coincident spectra and quadrature spectra ofgust velocities, Flight 6, Run 39.
61
with right wing going down), rad/s
3. Normal acceleration at e.g. (positive up) g units (an);
4. Pitch rate measured by body-mounted pitch-rate transducer (positivewith nose going up), rad/s (0);
5. Pitch attitude measured in the vertical plane (positive with nose up),rad
6. Roll attitude of airplane with reference to horizontal (positive withright wing down), rad
7. Airplane heading measured in a horizontal plane clockwise from truenorth (always positive), 0 to 360° range, (V*i);
8. Sensitive airplane heading obtained from V'l with arbitrary zero at theinstant the data switch is turned on (positive with nose right) ±15°range
9. Airplane heading measured in a horizontal plane clockwise from truenorth (always positive) 240° to 600° range (^2);
10. Sensitive airplane heading obtained from ^2> with arbitrary zero at theinstant the data switch is turned on (positive with nose right) ±15°range
11. Normal acceleration at the left wing tip (positive up), g units (anL);
12. Normal acceleration at the right wing tip (positive up), g units (anR)',
13. Longitudinal acceleration at the c.g (positive forward), g units (ax};
14. Lateral acceleration at the c.g (positive toward right wing), g unitsK);
15. Angle of attack measured at the airplane nose boom (positive withflow vane trailing edge up), rad (ac);
16. Angle of sideslip measured at the airplane nose boom (positive withflow vane trailing edge toward right), rad (/0C);
62
17. Temperature of the INS pallet, °F(Ti);
18. Temperature of the instrument pallet, °F(TP);
19. Vertical acceleration of the INS stable element (positive up), g units(a,);
20. Angle of attack measured at the right wing tip boom (positive with,flow vane trailing edge up), rad (an);
21. Angle of sideslip measured at right wing tip boom (positive with f^owvane trailing edge toward right), rad (/?R);
22. Angle of attack measured at the left wing tip boom (positive with flowvane trailing edge up), rad («£,);
23. Angle of sideslip measured at the left wing tip boom (positive withflow vane trailing edge toward right), rad (,#L);
24. Yaw rate measured by a body-mounted yaw-rate transducer (positivewith nose going right), rad/s (if));
25. Total temperature, °C (T0);
26. Impact pressure measured at the left wing tip boom, Pa (qCL)',
27. Impact pressure measured at the airplane nose boom, Pa (gcc);
28. Impact pressure measured at the right wing tip boom, Pa (qCR)',
29. Free-stream static pressure measured at the airplane nose boom, KPa
(p);30. Temperature of IRT, °C T/#T;
31. Distance to go from the present position of the aircraft to the nextwaypoint set on the INS (always positive), m(At);
32. Bearing to destination, i.e., bearing from the aircraft's present positjopto the next waypoint set on the INS, measured in a horizontal plane,clockwise from true north (always positive), deg (75);
63
33. Longitude of aircraft as measured by INS, deg (LONG);
34. Latitude of aircraft as measured by INS, deg (LAT);
35. Track angle of airplane measured in a horizontal plane clockwise fromtrue north (always positive), deg (IT)',
36. Airplane heading, measured in a horizontal plane clockwise from timenorth, rad
37. East-west component of the airplane inertial velocity as measured byINS (positive toward east), m/s (VE);
38. North-south component of the airplane inertial velocity as measuredby the INS (positive toward north), m/s (V}y);
39. Pressure-derived altitude based on standard atmosphere tables, Km
(M;
40. Computed free-stream temperature, °C (Tc)',
41. Computed east-west wind component (positive toward east), knots(WE);
42. Computed north-south wind component (positive toward north), knots
43. Computed magnitude of wind vector, knots (W);
44. Computed direction of wind vector, deg (iw);
45. True airspeed computed from impact pressure measurement at rightwing tip boom, m/s (VR);
46. True airspeed computed from impact pressure measurement at theairplane nose boom, m/s (Vc);
47. True airspeed computed from the impact pressure measurement at leftwing tip boom, m/s (VL);
64
48. Incremental pressure-derived altitude with reference to value at begin-ning of run (positive when altitude increases), m (A/ip);
49. Computed unconnected inertial displacement, m (Ahz);
50. Computed longitudinal component of gust velocity at right wing tipboom (positive in direction of flight path), m/s
51. Computed longitudinal component of gust velocity at airplane center-line nose boom (positive in direction of flight path), m/s (Wxc}\
52. Computed longitudinal component of gust velocity at left wing tipboom (positive in direction of flight path), m/s (WXL]\
53. Computed lateral component of gust velocity at right wing tip (positivetoward right), m/s (WYR)',
54. Computed lateral component of g;ust velocity at airplane centerlinenose boom (positive toward right), m/s
55. Computed lateral component of gust velocity at left wing tip boom(positive toward right), m/s (WyL}',
56. Computed vertical component of gust velocity at right wing tip boom(positive up), m/s (WzR)',
57. Computed vertical component of gust velocity at airplane centerlinenose boom (positive up), m/s
58. Computed vertical component of gust velocity at left wing tip boom(positive up), m/s
65
3.0 CONCLUSION
The statistical analysis of the turbulence measured in Flight 6 of the
NASA B-57B over Denver, Colorado, from July 7 to July 23, 1982, includes
the calculations of average turbulence parameters, integral length scales,
probability density functions, single-point auto-correlation coefficients, two-
point auto-correlation coefficients, normalized auto-spectra, normalized two-
point auto-spectra, and two-point cross-spectra for the gust velocities. The
probability density function of the turbulence is best represented by Reeves'
non-Gaussian model which is a function of the parameter r. When the value
of r is zero, the probability is, in effect, a Gaussian probability. When r ap-
proaches infinity, the probability will approach a modified Bessel function
of the second kind and of the first order. Additional analysis is required to
determine how r is related to the severity of the turbulence.
Comparison of the single-point auto-correlation coefficients with the
theoretical model developed by von Karman shows that the auto-correlation '<*
coefficients of the longitudinal velocity component are higher in value than
that predicted by the model. For the lateral velocity component, the auto-
correlation coefficients agree with the von Karman model, but for the ver-
tical velocity component, the auto-correlation coefficients are lower than
the model. Since the time histories of the same gust component at three
different positions of the NASA B-57B do not differ much, the two-point
auto-correlation coefficients are similar to the single-point auto-correlation
coefficient. The results appear to be very accurate up to 5 Hz; but at fre-
quencies higher than 5 Hz, errors will occur because of noise in the signal
and biasing due to possible water in the pressure sensors. Generally, the
66
von Karman single-point auto-spectra models using the integral length scale
fit the data well. Applying Houbolt's digitizing correction factor, however,
will bring the data into better agreement with the theory. Curve-fitting the
data to obtain a value of the parameter (L2/3/<r2), however, improves data
correlation with the von Karman model.
As to the two-point auto-spectrum of the gust velocities, the quadra-
ture spectrum is always smaller than the coincident spectrum for frequen-
cies less than about 0.4 Hz. The coincident spectra have the highest value
at a frequency of about 0.078 Hz and then decrease to near zero at a fre-
quency of approximately 1 Hz. The quadrature spectrum of a single-point
cross-spectrum, however, is not always less than the coincident spectrum in
the lower frequency region. Houbolt and Sen's model of the two-point auto-
spectrum for the longitudinal velocity component in its original form does
not agree with the data as well as the new corrected form of the equation.
The two models predict lower values than the data in the high-frequency
region.
In general, the turbulence behaves very similarly to isotropic homoge-
neous atmospheric turbulence. This ma;y be a consequence of the fact that
the ratio of the 19.5m span of the B-57B turbulence length scale is small.
Additional flights at lower levels and perhaps closer to the storm front may
be required to further investigate the non-isotropic turbulence.
67
REFERENCES
Bendat, J. S., and A. G. Piersol (1971): "Random Data: Analysisand Measurement Procedures." New York, John Wiley & Son, Inc.
Reeves, P. M., G. S. Campbell, V. M. Ganzer and R. G. Joppa(1974): "Development and Application of a Non-Gaussian Atmo-spheric Turbulence Model for Use in Flight Simulators." NASACR-2451.
Reeves, P. M., R. G. Joppa, and V. M. Ganzer (1976): "A Non-Gaussian Model of Continuous Atmospheric Turbulence for Usein Aircraft Design." NASA CR-2639.
Houbolt, J. C. and Asim Sen (1972): "Cross-Spectral FunctionsBased on von Karman's Spectral Equation." NASA CR-2011.
Frost, W. and T. H. Moulden (1977): "Handbook on Turbulence."New York, Plenus Press.
Campbell, G. A. and R. M. Foster (1954): "Fourier Integrals forPractical Applications." D. Van Nostrand Company, Inc. (NewYork).
Frost, W. and M. C. Lin (1983): "Statistical Analysis of Turbu-lence Data from the NASA Marshall Space Flight Center Atmo-spheric Boundary Layer Tower Array Facility," NASA CR-3737.
Houbolt, J. C., R. Steiner, and K. G. Pratt (1964): "Dynamic Re-sponse of Airplanes to Atmospheric Turbulence Including FlightData on Input and Response," NASA TR R-199.
68
ORIGINAL PAGE ISOF POOR QUALITY
(X fOQ_
CO 4->
•»-> o>o ••-CO i—S- U_
o*3-
oo i-0> Q or- S <U
— l/>* in
- LO (T>r— .. O
un i—
3 ro
OJ O) (O-»-> = S-tO -r- 3Q t— Q
oooCTi
OOO00
(6ap)
CO
oI
COTJ
CO
CO
CO
o
<nCO
CTl
00
I/IOJ
co
CM
ooo!•••»
oooV£>
OOOLf>
7i A,
K%
Z*
! . t t .il/ .. h*I - «VL/
C\J
o:
c:o
(OQ.
O)
en
A.I
e
oM
OO
OCO
^
d0)>
I I i 1 1
rt
Oce
o
d
oo
oCD
(D 0)
. a
oX
a:X d
X
o
_, d
oo
oCO
so*r
oCM
o
O D O O O(M .-• T-. (\J (s/ui) paadg pui&
o o o o oCM ,-, —. CM
I I
3o>
c(O
Ol
_
« §
v°
CO U.01
•r™ **i- 10O Ol4-> OIO C•r- 01
01OJM-
CXJ
<:01
en
A.2
TABLE A.I. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 2.
I. Mean Airspeed (m/s)
v R
121.2 120.3 122.2
Standard Deviation ofGust Velocities (m/s)
W,XL
1.13
aw.xc
1.12
aw.
XR
1.22
(JW.
YL
0.96
(7W.
YC
1.00
<7W,
YR
1.01
III. Standard Deviationof Gust VelocityDifferences (m/s)
aw,ZL
aw,zc
1.42
W,ZR
1.40
RL
0.49 0.51
0.39 0.39
o,
0.48 0.46
0.71
HCL XRC XRL
0.40
0.54
IV. Integral Length Scale (m).
XL
\L
645
L
1563
\
550
zc
1592
1272 1329 1163
627
R
H67
A.3
1.0
0.8
R = RightC = CenterJ_= Left
(0
8D-,
0.2
0.0-5. 0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1.0
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.3. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 2.
A.4
a•••4u
tio
o
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.4. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 2.
A.5
WXRC
a
Vooco
no(X
I
1000. ' 2000. 3000. 4000.
Spatial Lag ,S=VT(m)
Figure A.5. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 2.
A.6
ID'1
10*
\
* 10°
10-
•von KarmanN=1024SEG.= 4
—von KarmanN=1024SEG.= 4
von KarmanN=1024SEG.= 4
von KarmanN=1024SEG.= 4
mill i iimiJ i_.i-i_miil i ii
—von KarmanN=1024SEG.= 4
Wy
, inmil . .,|,|J I ili.Mil
von KarmanN=1024SEG.= 4
—von KarmanN=1024SEG.= 4
von KarmanN=1024SEG.= 4
r •?
—von KarmanN=1024SEG.= 4
I I tllUll I I II Mill I llllinl I llllllJ
io~8 10° 10° io~8 10°
= u/V
Figure A.6. Normalized auto-spectra of gust velocities, Flight 6, Run 2.
A.7
10s
6" 10°\S
37* 10-a
108
tr6" 10°
10-
10a
N=1024SEG.= 4
WXCL
i iniiiil i i i iiua i i i
N=1024SEG.= 4
. N=1024SEG.= 4
N=1024SEG.= 4
+V>
tint i i iiinil i i it u ill
N=1024SEG.= 4
N=1024SEG.= 4
I.IIMll
5EG.= 4
WZRL
10~8 10° 10~a 10°« = cj/V (m
ID'2 10°
Figure A.7. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 2.
A.8
w w w.
.-e«"
'' 10°._ *v
10° 10° 10i-Z 10°K =
Figure A.8. Two-point cross-spectra of gust velocities, Flight 6, Run 2,
A.9
ORIGINAL PAGE 8SOF POOR QUALITY
TABLE A.2. List of All Parameters Measured and Their Range of Values,Flight 6, Run 2.
34"567-
~8910111213i*151617181920212223242526272829303132333*3536373839*041»2»3*445
48495051t>213545i56•7"58
START T I H E •
CHANNEL UNITSRToTsFCG UNITS
49555.4388
HIGH
STOP TINE -'4966*.6138
LOW NEAN RHS
A C C L N CGT H E T A DOTTHETAPHI ••" "PS IIDElTPSTTPS I 2DEL PS 1" 2A C C L N LT"ACCL N RfACCL X JCGACCL'Y CG"ALPHA CTRBETA CTRTENP ITENP PA C C L Z INSALPHA RTB E T A R TALPHA LTB E T A LTPS I DOTTENP TOTOC ifOC CTROC PTPSTENP IRT0 TO G
~B TO pLONGLAT ~TDK ANGHOGV EVN~ "ALTITUDE
RAO/SECRAO _"_'RADDEGREES^"DEGREESDECPEESDEGREESG UNITS^C UNITSGUN ITS _
"G"UN ITSRADRADOEG'FP E G F ' " "G UNITS'
.0701.300.045
.068
17582"271.335_ 1.227_ 1.685_ 1.759
.077_ •21"?_ .006__ .020J 11.396"
89.6*71.332
-.099.598
-.033"~ .008
-.104J69.652_
-2.474"267.462
-2.8012_ . 330
•231__ ._ -.187__ -.061
-.073T69.597
89.467.553
r RADR A D
r PADRADRAP/ SEC"
r DEC cpsinPSIDPSIDPSIA
r OFG cHETERS
.016.052.021.012.039
31.0981.0671.0501.093
10.97928.445
0769139. 891C
-.053-.034-.058-.072-.035
29.914 31.898
. .«91 ,.915
10.927" li25.534 2
•756035. 93 0»*«*
-.00312.99372.00494.04226
-.01153271.32161
-.73362"J69.18582
-1.06147~_~ 1.C1157
_ 1.02622.04435_
_".00601_ -.02507__ -.02177lit.4374089.t0903
1.00215-.01960
.01299-.01736-.02644
.0033030.40423_
.97588
.96142
.9922110.9582626.81273
.02051
.99597'.00894
_^04376.02588
271.32272'l". 06268"
J69.18692_' 1.30520"
'_ 1.02036_" 1.03719
_.0450(r.06275.02594.02430
JliO.4384689.609061.00463
.02110
.01639
.01873
.02617
.0098130.40585
.97651
.96207
.9929410.9582726.82397
4367
4367
DEGREESDEGREES
D f C ^ E E SR A D I A N SH/SEC
K MOEr.SEES CKNOTS
KNJ1TSOEGf ItSH/SFCH/StCH/SEC
80.516-104.683
39.751272.t51
4.786-119.616
5.7142.430
22.8312.913
-1.77316.259
359.981128.106125.644126.979
60.412 80.46366 60.46387-104.839 -104.76115
39.752 39.75407270.614 271.5D367
4.715 4.74643-124.401.-122.39509
EU WHO SPONS WSO SPO«IV> SPFFOW I S O CIPtCA l R S P F E n RA I R S P E E D CAIRSPEED I
JDJITA ALT HETERS 18.118LiSRfroi!UG RIGHTUG'CEHTfUG LEFTVG RIGHTVG C E N T !VG L E F T«<^ RIGHTUG C E N ThG LEFT
1.6C22.392
22.751-9.347
-15,6371.P47
.104117.665116.119116*519-19.650
3.236022.40747
23.19801-4.43574-6.71558
6.3221942.06074
122.16261120.31C60121.18580-4.51043
OISP HETERS 1KTTEITHTiTEJTHTITEIT
H/SECI H/SEC
H / S F CH / S f C
t H /SECH/SFCH/SFC
I H/SECH/SEC
6.724 -19.8722.5372.3963.1722.6432.5912.4195.4394.8165.469
-4.374-3.895-3.404-4.054-4.563-4.377-4.436-3.611-4.375
-4.71472 ;-.00000
.00000
.00000
.00326
.00347
.00391
.00511
.00623
.00477
104.7611639.75'07
271.534264.74645
122.403763.451092.40749
23.198734.920136.975468.53608
67.00408122.1835912P.32964121.20421
10.066p3_10.09669
1.20677.1.106971.12080
.97500.96989.93178"
1.36188_1.379411.40635
A.10
ORIGINAL PAGE ISOF POOR QUALITY
01
<O
Q£ (OQ.
O 4J
0> •—l_ LL.
•f—o o-a
CM ^--S00 I- £
2 S °—' co" in j>
«* o•— •• CO
CO ^*>» ID
3 CO ••
O) W (O
•O •?- 3Q f- a
(OQ.
o>
i^
k
OOo
ooooo
O)a»x»
so>co
Lf)
LT>
CO
oo
a» s.\\
\
00
0)
CO
CM
ooor*.
ooovo
ooo
oo
cePI
vo
-Co>
o<+-c
QJ
O>
A.11
M2<
M2<
oCM
OO
O00
O10 O
O
<u
>-3<]
O(M
O
•
_ O
OO
OID
oo>n
(U
i .
o(M
oo
ooo
o(O
o<r
oM
o o o o oCM '-i T-> fSJ
I I
o o o o(M —< —•
o(M
C7)
•ac:
oroO
•— c<u -3> oe
<4- CJ>O -i-
(D
O Ol
10 C
O)<U <4-s «*-( -o
d
•st
(s/ui)
A.12
TABLE A.3. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 3.
I. Mean Airspeed (m/s)
111.5 110.7
R
112.4
n. Standard Deviation ofGust Velocities (m/s)
aWXL
3.75
aWYL
1.77
crwxc
WYC
1.81
WXR
3.68 - 3.73
aWYR
1.73
III. Standard Deviationof Gust VelocityDifferences (m/s)
0.64 0.65
0.60 0.59
0.66 0.72
0.82
HCL XRC XRL
0.65
0.83
aWZL
2.10
aw,zc
2.04 2.24
IV. Integral Length Scale (m).
554
,ZL
940
\
\
541
1042 1043 1038
559
976 1050
A.13
1.0
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
Figure A.11.
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations) •i
Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 3.
A.14
aV'3
<uo
ao33jg<ui*LIooio
0. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.12. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 3.
A.15
WXRC
a•i-4
U•1-4«*-•«fc-(
0>o
co
Ouio
n'Sa.io
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
300Q.
Figure A.13. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 3.
A.16
10Nb
•von KarnvanN=1021SEG.= 3
\
I
von KarmanN=1024SEG.= 3
von KarmanN=1024SEG.= 3
—von Karman —von Karman —von KarmanN=1021SEG.= 3
von KarmanN=1024SEG.= 3
K = u/V (m-1
10,-a 10°
Figure A.14. Normalized auto-spectra of gust velocities, Flight 6, Run 3.
A.17
102 r'
rb^b~ 10°
10-*
108
trtr io0
* ltr*
10s
b"b~ 10°
10-2
N=1024SEG.= 3
WXCL
,,J , , ,,,,J
N=1024SEG.= 3
WYCLV
i iinitj I iiinij i i i mill 1 lim
_ +F +
N=1024SEG.= 3
+ WZCL
N=1024SEG.= 3
WXRC
**
N=1024SEG.= 3
tiniJ i 11 mill i i t innl t IIMIH i i mini i i mini i t imitl i
SEG.= 3
V+m
F
5EG.= 3
WZRL
10- 10° io~8
/c =10° icr8 10°
Figure A.15. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 3.
A.18
«„ w w „ w.
10~8 10° ID'2 10°K = u/V (
ID' 10°
Figure A.16. Two-point cross-spectra of gust velocities, Flight 6, Run 3.
A.19
ORIGINAL PAGE ISOF POOR QUALITY
TABLE A.4. List of All Parameters Measured and Their Range of Values,Flight 6, Run 3.
START TIME • 49609.4844 STOP TIHE • 49883.9094
CHANNEL2 PHI DOT3 ACCL M CG4 THETA DOT5 THETA6 PHI7 PSI 1« DEL PSI 19 PSI 2
10 DEL PSI 2 ™11 ACCL" N LT12 ACCL H RT13 ACCL X CG~-
UNITSPAC/SEC6 UNITSR A D / S E CRAO "RAODEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITS
14 ACCL f CG 6 UNITS15 ALPHA CTR16 BETA CTR17 T E M P I •""18 TE1P P19 ACCL Z INS "20 ALPHA RT21 BETA RT22 ALPHA LT21 BETA LT24 PSI DOT25 TF1P TOT26 OC LT27 OC CTR26 OC RT29 PS30 TEMP IRT31 0 TO G32 B TO D33 LONG34 LAT33 TPK ANG36 NOG37 VE38 VN39 ALTITUDE40 TEMPC41 EU WHO SPD42 r-S WND SPD43 wlND S P E E D<.<r WIND OIPFC* ? A I 8 S P E E P f i»6 A 1 0 S P E E P C47 AIRSPEED L48 DELTA AIT "49 INRTL OISP50 UG RIGHT51 UG C E N T E R5i UG LEFT53 VG RIGHT54 VG C E N T E R55 VG L E F T56 UG RIGHT57 UG CENTER58 UG LEFT
RADRAODEC FDEC FG UNITSR A ORADRAO "~1 ~~RADRAD/SECOEG CPSIOPS ID»SIDPSIADEC CMETERSDECREESDEGREESDEGREES ""O C C P F E SRADIANSM/SECM/SECKMDEGREES CKNOTSKNCTSKNOTSDFCPEES"""f / S f C•»/sirM/SfCMETERSMETERSM/SECM/SECM/SECM/SECM/SECM / S E C '""M / S E CM / S E CM / S E C
HIGH.072
" 1.627.037.094.041
313.3212.904
314.9882.8742.0201.859
.139
.175" ~ .058
.036107.798
'90.0061.633
.068
.063
.C69
.021~.03f
29.914
LOW-.C88
.642-.045.031
-.069308. ?97-1.857
310.060-1.802
.160
.182
.032-.159-.054..C72
106.89989.647
.620-.060-.035-.039-.085-.027
28.240
ME AM-.00324
.99422
.00481
.06292-.00889
310.69637.51978
312.55654' .51022
1.011681.02835
.06434
.00796-.01C4P-.C2107
107.3303269.83471
1". 00 459-.00229
.01447
.00071-.02642
.0034628. ^4907
BHS.02078.99850.01095.06434.02096
310.697641.02301
"312.557751.014851.026211.04275
.06518
.05271
.01490
.02740107.33076"89.83472
1.00892.01282.02156.01119.03106.01146
28.95259.979 .756 .82327 .82447.944 .751 .81163 .81273.993 .763 .B3729 .83843
10.979 10.680 10.95411 10.9541224.966 13.439 20.73977 20.83180
8742922. 2148737460. 433****»***»»************R0.291
-105.00639.858
313.1115.496
-82.07178.4142.612
23.4589.3517.154
11.5033 59. 99 «122.17611<5.?03121.133
- 195.0700.0005.2504.5764.8124.6114.4744.2397.6226.9338.091
ftO.229-105.082
39.804311.MO
5.410-85.818
73.9742.392
22.310-16.032-17.B97
2.391.072
197. f451C6.66P107.221-24.882
" -15.034-11.902-10.520-11.826-6. 080-6.336•7.339-8.3S6-6.C<1-5.981
80.26050-105.04370
39.83064312.CB4iB
5.45239-84.17617
76.044772.41049
22.84Z7R-7.78967-.60240
10. "4)20105.75741112.42393110.730<53111.49930
"" " -6.41 523-5.23568-.00000-.00000-.00000-.01278-.01492-.01482
""-.04249-.03757
, -.03986
80.26050105.04370
39.83064312.014*0
5.4524184.1822776.05794
2.4104922.R43769.223856.2764*
11.15677129.53243112.4'»<;-»0110,?ft63"111.53747
8.345186.137213.731223.687613.750821.719761.798P41.762252.227402.033962.09167
POINTS312131213121312131213121312'i3121312131213121
"3121312131213121312131213121312131213121312131213121312131213121312131213121312131213121312131213121312131213121312131213121312131213121312131213121312131213121312131213121312131213121
A.20
ORIGINAL PAGE |SOF POOR QUALITY
<o
a: 5
o
r?
s11
l i
oo •T7 "O00 Q SOS = Oi— ^- U
O••co
(Bap)
s ro ••^> i— c
o
(D Q; ft}•I-1 E t-f^S *f~" ^
O h— Q
<TJO.
oo
U(.<u
CO
O
I
(U
°?<u
oI •
co
CO
LOo
UT—
cr>
03
a*
£
o oo oo oen co
ooof~-
ooo
oooin
cQi
CT)
CO
o<+-c.
a.
en
QJ
3
A.21
a:rvj3
1
I
r i
CE>—*2
1
,
i1
i i
onX3
:
i•4
t i
d d cCM .-.
CJM
3
1
J
t1 1
1 1
r y' 3
Ii.
1 11 1
X3
tI •;k.i i1 1 1
.3 d d
— CM1 1
_l ,M3
'
j
J
1
k , , '1 1
i ?!3
1
1
t
1 . ,<i i
_iX
< 3;;1
; ;L
C , , <1 1
(s/ui
osM3o
>
L , ^
1
v j
, '*I;*- *i^1
r.
V, ,1 1
CJa:X3<1
t> :L i i
• i
\ T
) P83UC
iCJt^3<j
i
, ,i i
_J
u>_
~£
-
L j
1 ' J
X3<
1
L i 'i i
PUIAA
_J
C£f*43
<
P Ii i
joc> -
"'*^1*-*
t 1 4._.i. . .-,'
i3«-1
!
L i |
O O CCSJ —i
.
"
(
-
-
-
-
"
,
-
.
I
D O C—. ri
O(M
•O0
d03 >>
-M• *r-
0 CJCO O
OJ
s+->in
O 3<M cn
•ao =
«O
C3 V*M <U
^_)
S 0^— O
r— C. s~ 0) 3
s S; >tt:y> 4-> *~
• ^^" (/) V^O 3CD CV OT-I-1
t 4- O>
§ t> °;zI/) U-
d * .«M S_ CO
O 0)4-> CJ»r\ f~
O t/> C._ fl)• r~ yjt- i_
d QJfM 0) H-— E 4-
d P'-S0
d 2°CO .
<s.O fljCO s_
3
d .?«* u.
•ofSJ
O
DSJ1
A.22
I. Mean Airspeed (m/s)
R
108.4 107.7 109.5
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC XRL
0.49
0.46
0.52
0.53
0.43
0.48
0.67
0.48
rZRC A¥ZRL
0.56
H. Standard Deviation ofGust Velocities (m/s)
aWXL
0.98
aWYL
1.97
aWZL
1.23
V. Integral
\L
(7wxc
0.97
aWYC
1.92
aWwzc
1.20
Length
\c
aWXR
1.03
aWYR
1.91
aWZR
1.22
Scale (m)
\R
260 302
\
216
1159 1116 1141
Sr
617 678 694
TABLE A.5. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 4.
A.23
^ RighV ' ' 'C = Center WL = Left
I I I I I I I
w
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
5.
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.19. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 4.
A.24
cV'a
va
ao
0)
hOuIO
1 1 1 1 1 _l
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
•5000.
Figure A.20. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 4.
A.25
a>ooco
EoIo
.goa,io
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
Figure A.21. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 4.
A.26
108
10°
Nb
108
10°
10-«r
von KarmanN= 512SEG.= 5
—von KarmanN= 512SEG.= 5
I
von KarmanN= 512SEG.= 5
von KarmanN= 5125EG.= 5
von KarmanN= 512SEG.= 5
Wy
von KarmanN= 5125EG.= 5
W,
—von KarmanN= 512SEG.= 5
i.im,l . in.,,,1 , il i . ,,|,J
—von KarmanN= 512SEG.= 5
—von KarmanN= 512SEG.= 5
10" 10° 1(T2 10°
K = u/V (m
ID"8 10°
Figure A.22. Normalized auto-spectra of gust velocities, Flight 6, Run 4.
A.27
102
r 10°
102
102
6
N= 512SEC.= 5
WXCL
N= 512SEG.= 5
N= 512g + SEG.= 5
+ V WZCL
N= 512SEG.= 5
WXRC
N= 5125EG.= 5
WYRCV+ .
N= 512SEG.= 5
WZRC
N- 512SEG.= 5
WXRL
iiml i i i mitl i i mint i i i null
N= 512SEG.= 5
N= 512SEG.= 5
WZRL
10,-2 10° 10~2 10°K = u/V (m
10°
Figure A.23. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 4.
A.28
10*
's?""•=• 10
•e-""1
io-2
io8
^^
".„ 10°&
io-8
10*
^~.
"% 10°tAt•w*
io-«
r
•
•
•
•
r
r—
rr
rr
r
r
r
rr
rr
r;
rr
rr
r
fr
rr
r
r
rr
rrr
r
rrr'
fr[
w x w zLL
— -LC
r — LR
• ^ ^^^~ * \Ar \'v. |Lr XA$r \ty
r Nr" i iiiurJ i uiHiJ i iiiiml i i initl
CL
-— CC
f — CR
: \ ^^"\
r v^.vW^
r VA^\
f Nr" i iiiurJ 1 until i iinrnl i i HiJ
— RL— -RC
r — RR
r > v^vr .>*.>''v
V * 1^r ^\*r \J: r
r
10~8 10°
r
|-
rrr
rr-
rr
rr
r
rr
r
rr
rrir
r*—
r
r
r^r
1r
r
r
rr
r
r
rr
r
r
!
r
r
rr
w x w y— LL
— -LC
r \ — LR
1 V ^S
~ \ V.r \*\V
r Vxo\r '-Ar ^r
CL
— -CC
r \ ~~CR
- v^v
r \\V
- ^vVto
— Ud
~
i mini i nrntJ f MinrJ i i iniiJ
— RL-— RC
r , — RRr x \^
r \ N^)v^ \ ii.r s <\r Vft
rr:,,,.,nl J A , ,,,J
10~B 10°
K = u/V (m'1)
r
r
rr
r
rr—
rw
w3
rr
rr
r
rr
r=
r;r
r—
r
r
r^rr
r
r
rrr
r
r
rr
r
rr
r-
r
rr
W Y W Z— LL
— -LC
r . — LR
r \^\i \ Vr~ » \t\ Vj
r V\"^Nr VK
r ^ri muni i iinml i iiintil i IIMH{
CL
— -ccr \ ~~CR
r 4N\
r ^\,r V/\'iA
r ^r" i MI lilt! i i mini i i nitirl i mittJ
RL
— -RC
r v — RR
" \^\\ ** "t\ * '*! ^1,
^w'vV
7* MB
r:, Minn! , ,,,,ml ml J
10~2 10°
Figure A.24. Two-point cross-spectra of gust velocities, Flight 6, Run 4.
A.29
ORIGINAL PAGE ISOf POOR QUALTTY
TABLE A.6. List of All Parameters Measured and Their Range of Values,Flight 6, Run 4.
START TIME • 49983.5647CHANNEL UNITS HIGH
2 PHI DDT3 ACCL N CG4 THETA DOT5 T H E T A6 PHI7 PSI 1d DEL PSI 19 PSI 2
10 DEL PSI 211 ACCL~N LT12 A C C L N RT13 ACCL X CG"14 A C C L Y CG15 ALPHA CTR16 B E T A CTR17 TEMP IIB TE1P P19 A C C L Z INS "20 ALPHA RT21 B E T A RT±Z A L P H A LT23 B E T A LT24 PSI DOT"25 TE1" TOT£6 OC LT27 OC CTR26 OC RT29 PS30 TEMP IRT31 0 TO G """ "32 B TO 033 LONG"34 I ATi5 TR< AMG36 HOG ""i7 VE38 VN39 ALTITUDE«0 TE1PC41 EW UNO SPD42 MS U<«0 SPD*3 WI'O ?PEEO.4'hHD DIPEC•d i ! O S » E E O Pii A I R S » F E D C47 AIRSPEED L46 DELTA ALT49 INRTL DISP5C UG RIGHT51 UG CENTER ""52 UG L E F T53 VG RIGHT54 VG C E N T E R5! VG LEFT56 WG RIGHT5 7 ~ W G C E N T E R58 WG LEFT "~"
R A O / S E CG UNITSRAD/SECPADR A DDEGPEFSDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSR A DRAOCEG FDEC FC UNITSR A PRAO :RADR A DRAD/SEC"DFG CPSIPPSIDPSIOPSI ADEC CHE T EPSDECREESDEGREESDEGREESO t C R E E SRADIANSM / S ? CH/SECKMD E G R E E S CKNOTSKNOTSK K G T S
. D E C R F E S "M / S E T" /SECM/SECMETERSMETERSM/SFCH/SECH/SECM/SECM/SFCM / S E C "M / S E CM/SECH/SFC
.0911.Z93
.029
.097
.042221.749
-.327383.261
-.4811.7781.499
.133.160.034.041
106.f 3990.006
1.285.056.073.054.C29.033
2f>.<30.839.827.859
10.966
STOP TIHE • 50050.6647 POINTSLOW MEAN RMS-.066
.743-.033
.044-.055
217.874-4.061
579.727-4.242
.440.399.038
-.146-.029
" -.047105.619
89.826.751
-.021-.011-.017-.047-.027
27.453.659.664.671
10.928
-.00283.99291.00433.06338
-.01429"220.18189
-1.88476.981.82887
-2.06B241.010311.02689
.07836.01505
-.00596-.00462
106.1367189.69643
1.0C476.00596.03009.00762
-.01116.00300
2*. 27712.77766.76766.79386
10.94477
.01781,99529.00828.06433.02436
220.163672.07056
981.829492.241121.017951.03394
.06118
.04168
.01106
.01537106.13888
89.898471.00707
.01297
.03312
.01297
.01711
.0110628.27952
.77898
.76890
.79516 "'10.94478
19.717 17.880 19.09111 19.094996727618. 7658722005. 619»»*»«*»«***»**»**»***«
80.158-105.194
39.842222.493
3.696-66.633-79.190
2.43023.216
9.174-.177
14.166359.947113.792111.724112.932
2.670" o.coo
2.9222.5332.8203.4593.9343.5523.8934.1894.554
80.130-105.251
39.792219.846
3.829-76.635-P5.614
2.40222.100-9.308
-13.9732.910
.030100.949100.437100.083-29.156-23.903-4.777-4.499-3.840-5.390-5.667-6.676-4.305-4.193-4.099
PO. 14442-105.22186
39.61719221.46507
3.86650-73.54235-83.09595
2.4172922.49604-3.09424-5.67366
7.4254291.36132
1C9. 51228107.73473108.41707-9.49684
-11.00873.00000.00000.00000.00741.00539.00808
-.00760-.00448
" -.00579
80.14442'105.22186
39.81719221.46663
3 .8665373.6133983.11787
2.4173022.49730
4.560396.1573«7.66227
146.3)400109.55540107.77641106.46061
11.6059812.862811.01469
.95252
.970711.894461.90553
' 1 . 9 5 1 8 11.207331.18C241.21073
26P4268426842684266426642684268426642684268426842664268426842684268426842684268426842684268426842684268426P4268426842664268426842684266426842664268426642664266426642684269426642684268426842684268426842664268426842684268426842684
A.30
>•F"
4JIB
OL 10Q.
CO 4-»
•c- .C•»-> o>O ••-O) i—s_ u_Q O
I I
CO
O
I
C7I<U13
ro• OJin-0
O 3•— 4-»I •r-
Ot
00
If)
enco
to
«M~!co i— o>y\ Q u
• CTl«*- •— o<— •• co
in co>»io3 co ••
4J E i.(0 -r- 3Q I— Q
(6ap)
(O0.
oCo
C
i-
en
CO
VO
OJ
CSJ
0O0
0Oo00
000
000
oooir>
ORIGINAL PAGE ISOF POOR QUALfTY
LD
C3
CO
0}
O
fOQ.
Lf)CNJ
Ol
A.31
oCXJ
oo
_octM
ctM
OCO
oCD
oo-
I I I
cex
1r
O O O D OCM .-. -. CM
I I
X2<
(s/ui)
_ o
4— 1 .o
---1 1
-
ft:>22rf*1 '
j
i i
;
-
.
i
'M
•OOH
CDCO
,
O(£>
^
CDr\)
i i i i OJ
_ o
_lX£a
:
1 jj«
_j
< ;
-!
-
CM• — 1
OO
.CDCO
0*CD
' ii ."
f
L_ !
0
*
OCM
O
d o" o CD oCM — i — < CM1 1
'o'w
N ^ *
0)
01
u tno
> a:
t- O)o ••-(Sl U.<D
• I— *»s_ ono cu••-> oi c
•r- CUJC. i.
01<L) M-
CM
cC
01
A.32
TABLE A.7. Average Turbulence Parameters and Integral Length ScalesFlight 6, Run 5.
I. Mean Airspeed (m/s)
R
104.0 103.3 105.0
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL HRC HRL
0.53 0.53
0.48 0.46
HCL HRC
0.68
0.51
n. Standard Deviation ofGust Velocities (m/s)
(7WXL
1.26
crWYL
1.97
a
1.17
IV. Integral
\L
763
2920
a uWXC WXR
1.19 1.26
CT a
Y C YR
2.02 1.97
a aWZC WZR
1.09 1.14
Length Scale (m)
\L«r
r YDU AIX
801 722
LTIT ^
vr NT?YO in
2878 29320.55 0.52 0.60
411 ^05 351
A.33
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.27. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 5.
A. 34
c• l-lo
<uoud.23i"oJou
I I I I I 1
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.28. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 5.
A.35
0>
V
8
EouIo
(X
1.
0.
— 1 ^—
^ L
i. -
-l.0.
WXCL
WZRC
WZCL
WZRL
1000. 2000. 3000.
Spatial Lag ,S--=VT(m)
•4000.
Figure A.29. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 5.
A.36
%108
10°
10-r
•von KarmanN=1021SEG.= 8
von KarmanN=1024SEG.= 8
—von KarmanN=1024SEG.= 8
von KarmanN=1024SEG.= 8
—von KarmanN=1024SEG.= 8
von KarmanN=1024SEG.= 8
Wv
—von KarmanN-1024SEG.= 8
Wv
•von KarmanN=1024SEG.= 8
M,ll ,1 ! IM.IIll
io~2 10° 10° io~310°
K = oj/V
Figure A.30. Normalized auto-spectra of gust velocities, Flight 6, Run 5,
A.37
102
10*
b- 10°\s•e- 10-e
io8
6
SEG.= 8
N=1Q24SEG.= 8
* * +WYCL
N=10245EG.= 8
*
WZCL
SEG.= 8
WXRC
N-1024SEG.= 8
WYRC
N=10245EG.= 8
ZRC
+ V
SEG.= 8
WXRL
ill t i nnnl i i mnil i iimiil
SEG.= 8
WYRL
N=1024SEG.= 8
ZRL
10~8 10° 10~8 10° 10,-8 10°
Figure A.31. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 5.
A.38
102
3 10o•«4
io-2
102
3 10o•p?•e*
io-8
10*
S^ 1()o
•&"*
io~8
r
r
r
r
r
r5-
r
i-
j-
r
1r
r
r
r
r
r
r
r
f
r
r
r
r
r
rr
r
rr
r
r
r
r
r
F
rrrrr
w „ w,x z— LL
-— LCr\ LR
r\\r\S\: V. -i Tkl
X.t "> Tlnr~ i riniiJ i iiiuiJ i tintnl ii iimil
CL
— -ccr\ — CR
r\\r\ ~\\• ^;\\r "V*1*
Tmr \J|
r ^r:,, J ,,,„„! ,,,„„,! ,,„,»,!
— RL
-™ RC
r\ RR
r \ wl* u
K' X- ^i*, i^Lr VV» Tl: KVT
f ^r- J , ,,,J , M,,nJ nJ
io-z 10°
rr;
r
r
r
rr
r
w~
r
r
r
ra
r
r
r
r
j-
I
r
ri
r
r
r
r
r
r
r
r
r
r
r
r
r
r
rr
r
r
W WX Y
— LL— -LC
r\ — LRr\Vx
r\^\
|1ri i iimJ i i iniiJ i i iinJ i mini
CL
— -ccr\ — CR
"vNw-\\\
;lP1 J ,M,,.,J .,....,1 . ,umJ
. — RL
— -RC
r\ RR
r*v 'V.r\Vv'\I \ V, V
r \\S*.v
r ^r
10~8 10°
K = u/V (rn"1)
r=
r
rr
r
r
r
rr-
rj-r
r
r
r
r
r=
r
rr
r
^
r
r
5
f
f
r
i-:
rr:
r
rr=
s-
=•
f
r
r
r
r
N v W,Y Z
LL
— -LC
f\ — LR
s-s- Mft- * U
rx\ 'vv["•^r ^^
i Miinil i i mini i i i|ffi|l i i iimJ
LL
— - CC
r\ — CR
=~N^ ^VL
i-\ vr\- \ "/y^UWi '\ TILr lu/w Tli! \«7r vr %r: ,,i ,ni , ,„„„! ,,,„„;
— RL
— -RC
r\ — RR
F" ^ \*
^-\ ^'. V= \ lN4»Tkj- Vwi . "ML,r \H^?II ^ri iniiin i iinml i ii ii nil i mini
10~z 10°
Figure A.32. Two-point cross-spectra of gust velocities, Flight 6, Run 5,
A.39
TABLE A.8.
ORIGINAL PAGE ISOF POOR QUALITY
List of All Parameters Measured and Their Range of Values,Flight 6, Run 5.
S T A R T T I K E • 50119.3030 STOP THE • 90339*6090
3456
_ 7a9
ioli12I*"1415161718!'_202122232*2526272829303132"3334353637383'40414243t4O»647484950515253545556575fl
CHANNEL,H T DOT
ACCL N CGTHETA OPTTHETAPHIPSI 1_ _
PS I 2 ~"DEL PS I 2ACCL N LTACCL N'iRTACCJL X ' C GACCL
_UN ITSRAD/SEC "~G UNITSR A D / S E CR A ORAO
_DEGREESDEGREE'SDEGREE S_DEGREES^
IG UNITSG UNITSGUNITS
HIGH.072
1.405.050.119.C71
__-15,C81406.872_
_ tow-.091.598-.041.038
-.C67_39,294_-15.08i401.240
1EAN-.00269
.99269.00467.07520
-.01416_42.695U_-15.08145403.89753
_ «"S _.01681.99521,00960.07674.02443
__15.08145403.89867
_POINTS68206820862088208820
_6B2Q
1.584"1.650
y CG G UNITSALPH A CTJL7 RADBETA CTP RADTEMP'!" __ PEG fTEHP P __DEG FACCL ZfINS G UNITSALPHA" RT RADBETA RT _ RAD _1_ALPHA LT___ RADBETA LT RADPS I DOT
EMP TOLOC LT _OC CTR PSIDOC RT PSID _P S " ' " " P S UTEMP IRT _ DEC CD TO G HETERSB TO D
.065105.81990.006
1.395
_-15,092 ^15,09198 __15,09198_,276 1.01043 1.01767 _
7_ ,219 J.C2649 1,03414__. 030 .07363 . 07?61_
_ -.146 .01275 .04444_-.047 ,00259 ,01100_
_ -.063 __ -.00701 ,0161?104.200_104.98570_104,98678_«9.626 89.97672 69.97674
_1.C0300_.01516-.039
1.00544.01932
R A D / S E C _PEG c
>S IP
.087
.082,045.045
30.111.810.796.82?
-.C27 ___ .02900 __ ,03193-.030 .01708 _ .02095
1 '-.066.7'" -• 01406 '_ _ .01948-.031 _ .00293 __ ,0104128.733 _ 29,5475? _ 2.9.54858
,625 __ ,72406 __ ,72504.626 .71451 .71541.641 .73897 _ .73991
LONGLATT8K ANGHOG __VEVN
DEGREESDECREESDEGREESOFGPEFSRADIANS
_ _ _ ___ 11.220 10.953 _ll.lb922 11.U922
21.511 5.738 17.96417 18.392688743166. 0548724791. 258*******«*»**«'*»»******
80.157 80.20184 80.20184-105.216 -105.12401
8820662068208820
_882QP8206820_882p68206820
_8820_8P20"8820882086208820
_882CJ8fl206620882083208820
M/SECKHDEGREES C"KNOTSKNOTSK N O T S
ALTITUDE__TEHPCEW WND SPONS WND SPDWIMO SPEEDWIND DI*EC
RC
AIRSPEED LDELTA ALTINRTL DISP
JJG RIGHT _UG C E N T E RUG L f c F TVG RIGHTVG CEHTERVG LEFTWG RIGHTVtGTCemEft. "H/SECWG LEFT M/«EC
80.247-105.033"" 39.935
44.722.818
___76.89p81.710
2.41124.70212.94617.05317.161
269.483
39.77740.404
.714
« / S F C• • / S F CM/SECHFTERSHETERS
"M/SECH/SECH/SECH/SECH/SFCM/SEC
10P.P42109.834137.888
0.0005.2704.6995.3878.6108.252
'"" 7.9485.907
7 5. 9 40"6.026
75.5932.219
23.486-12.386
.0842.931
120.17797.93596. "32
_ 96, 736-54.264-32.911-J.P69-4.949-4.978-4.284-4.442
_ -4.446-4.133
-4.293
39.8561841.76970
.7637371,13980_79.65279
2.2551424.23264-1.6114710.8132811.63981
173.57646105.02261103.30915103.98006-18.09718-20.25578
.00000
.00000
.00000-.02269-,022"2-.02177
' " ' .00099_ »CQ104
7 .00186
105.1240239.8562041.78378
.7639471,1783679.66807
2.2551524.23327
4.2624411.1109911.90052
174.84177105.05459103.34013104.01337
19.4063721.63720
__1.38508_1.318981.407101.9B7592.025291.976931.15474
_ 1.12373"1.20869
_88208820882088206820
_882Q682088208820882088208820632088?0
88298820»82068206820882088208820J82088208820
A.40
a:rvi
3:
o(\J
oo
ooo
CDCO
ooa)
o;
I L_i i
OC\J
Oo
oCO
oCD
O(\J
O<uw
0)
ac.X
OOf.X
oX
o
-. CD
OO
CD
OCO
oM
O O O O O(M ^-i «-H (SJ / / \
(s/m)
a a a o oCM -j —i CMI I
to3a>•oc(O
</)01
CD
4-> «to vo3
CO I0)
S- CO
-t-> CJto c
ro
cu
01
A.42
TABLE A.9. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 6.
I. Mean Airspeed (m/s)
127.2 125.9 128.0
U. Standard Deviation ofGust Velocities (m/s)
aWXL
0.97
wxc
0.93
aWXR
0.98
<7WYL
0.86
aw.
YC
0.85
WYR
0.86
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC XRL
WZL
0.65 0.62
WZR
0.68
0.37
0.29
°AWAWZCL
0.34
0.38
0.33
0.36
0.48
XCL XRC XRL
0.32
0.38
IV. Integral Length Scale (m).
655
n,698
599 599
718 651
477 866 875
A.43
1.0
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1.0
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.35. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 6.
A.44
G..-lo
ao
ou
o. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.36. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 6.
A.45
WXRC
a<D
0)ooco
<otooI
oa,o
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.37. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 6.
A.46
102 r
10°
10,-s
io8
10°
ID''r
\
I
10s
10°
10-
ron KarmanN= 512SEG.= 4
Wy
, j , ii.inil . i.mill i I.m
von KarmanN= 512SEG.= 4
—von KarmanN= 512SEG.= 4
von KarmanN= 512SEG.= 4
—von KarmanN= 512SEG.= 4
von KarmanN= 5125EG.= 4
ll unit i i i inn i i 11 mil t i mini i i i null
von KarmanN= 512SEG.= 1
von KarmanN= 512SEG.= 4
—von KarmanN= 512SEG.= 4
10-8 10° 10~8
*; =
10° 10' 10°
Figure A.38. Normalized auto-spectra of gust velocities, Flight 6, Run 6.
A.47
103 r
" 10°
102
er- 10°
•e- 10-a
io8
" 10°
A•r—i
>e>
N= 512SEG.= 4
WXCL
n I I I nun I I I null
N= 512SEG.= 4
WYCL
N= 512SEG.= 4
WZCL
i ii mil i i i mill i i i mill
N= 512SEG.= 4
N= 512SEG.= 4
WYRC
N= 512SEG.= 4
N= 512SEG.= 4
XRL
N= 512SEG.= 4
N= 512SEG.= 4
1(T8 10° 10~8 10°/c = «/V (m
10,-8 10°
Figure A.39. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 6.
A.48
10*
^^
. 10°Jfc
10~a
102
^ .
•s? 10°•&"*
io-z
10*
^^^
.„ 10°•r-t
•6-
10-
rrr
rs
;
r
r
-
rrrr
r
rr
*
r
rr
rr
r*—
r
r
r
rZ
rr
r
rrrfrr\
r
r
rrrr
r
r
W X W Z— LL
— -LC
r — LR
r X~ "^ v\.- \ *» iM.F *\ IM Md= v <v *r SAr ^k
r~ i umtJ t mm! i immt i iniflil
— CL
— -CC
r — CR
r ^\P v \ ^^
r X"VvS3 ^V *(W
s~ Aitt
r" | |iuii{ i iniiiJ i i ii mil ft ii mil
— RL
— -RC
r — RR\
r M
r^v\f- vv iL
r ^r- J ,,,,J , 1 , ,,,,nJ
io-B 10°
r
rr
rr~
rrL-
r
3
r
r
rf
3
-
r
r|-
r
rr
r
' —
r
rr§•_T
r
•rt
r
'
•
•
rr
r
r
r
f
rr
r
W X W YLL
— -LCr . — LR
r \r \\;V
\ \'\ Ui
r ^ v *k
r M xr (llw
In
r
— CL— -CC
r \ — CR
V ^w
- \ '\\\
r XVV\r K!<!fy
r ^ur
— RL
— -RC
r \ — RR
r-\\r \v"vVr V>vh
r ^r 1r
io-e 10°K = u/V (m"1)
r5-r
rrir
r
L-
r-
r
^
rr
r
r
rrr
r
•
p.
J"
' —
r
B-
r
r-r
r
=
r
r
5"
r
r
ri
S~
r
r
r
r
rr
s"=
W Y W ZLL
— -LC
r — LR
f ^Ar vi \\
x "^ \hi..?~ *\ ^^ ^L
r \^i•- *\*£ V
|~
i iinml i i ipml i i inm i i mill
CL
— - CC
r CR
- ^"" "x> VIr x\o«vSr M' \
T \r" < i mini i i iiiiiil i i until t i imiJ
RL
— - RC
r — RR
r ^\r N,( yi
r NX''V\f v\ *»
r ir: „! ,,,,„„! 1 1
icr2 10°
Figure A.40. Two-point cross-spectra of gust velocities, Flight 6, Run 6,
A.49
OF POOR
TABLE A.10. List of All Parameters Measured and Their Range of Values,Flight 6, Run 6.
START TIME • 50*28.6107 STOP TIHE • 90490.6697
CHANNEL2"PHI DOT3 ACCL N CG4 T H E T A DOT ""9 THETA6 PHI7 PS II8 DEL PSI 19 PSI 2
10 DEL PSI 211 ACCL N LT12 ACCL N RT"13 ACCL X CG "14 ACCL Y CG19 ALPHA CTR16 BETA CTR ~17 TEMP I18 TEMP P19 ACCL Z INS"20 A L P H A RT?1 B E T A RT "22 ALPHA LTZ3 BETA LT*4 PSI DOT>5 TEMP TCTib OC LT27 OC CTB28 OC RT """Z9 PS30 TEMP IRT~21 0 TO G ~"32 P TO D33 LONG34 LATJ5 TR< ANG36 HOG37 VEi3 VN39 ALTITUDE40 TEMPC41 Eta WHO SPD42 H? UNO SPO4 3 W l s O S P E E DS4 UltO OIREC4f A I R S P E E D R-.6 A l R S P E s D C47 AIRSPEED L48 DELTA ALT49 INRTL DISP50 UG »IGHT51 UG C E N T E R52 UG L E F T53 VG RIGHT54 VG CENTER55 VG LEFT56 WG RIGHT57 WG C E N T E R53 UG LEFT
UNITSRAD /SECG UNITSRAO/ SEC ~R A PRADDEGREES ~DEGREESDEGREESDEGREESG UNITSG UK ITS ""GUNITSG UNITSRADRAODEG F ~~DEG FG UNITS"RADRAD "~~RADRAOR A O / S E CDEG CPSIOPS ID ""PSIDPSIADEC- CM E T E R SD E G R E E SD E G R E E SP E C - R F F SO E G P E E SR A C T A N SM/SEC" /SECKMO E G R f F S CKNOTSK N O T SK N T T SD E G R E E S
M/SF.CM/SECNF.TFRS "METERSM / S E CM/SECM/SFCM/SECM / S E CM/SEC "M / S E CM / S E CM / S E C "
HIGH.042
1.257
".057.051
— 187.5831.258
949.226.933
1.4901.564.057.196
-.007-.002
103.84190.010
- - - ' 1.285-.000
.004-.008
" "" .03134.345
1.2281.1941.244
11.42629.651
LOW-.060
.813-.018
.007-.081
"182.299-3.708
540.298-4.C36
.556
.539-.009-.157-.050-.051
103.46189.826
.626-.(50-.016-.046-.053-.019
33.2621.G01• 992
MEAN-.003381.00089.00520.03411
-.02030" 185.06099
-1.11855",542.97195
-1.426981.C13481.03298
.02337
.00757-.03472-.02319
" 103.5846590.00601
1.00756-.03013.01134
-.02760-.02633
.0026333.724981.112031.08P60
RNS.01392
1.00309.00893.03595.03077
185.065721.71416
542.973431.931001.02C711.04025
.02579
.04716
.03525
.02504103.5846990.006011.00980
.03094
.01419
.02636
.02970
.0093833.726361.113571.09016
1.021 1.12582 1.1273511.132 11.39266 11.3926719.312 27.68251 27.71173
8746711. 4 888744720. 193******* ***************80.291
-104.98639.P19
186.7433.285
-6.465-122.561
2.28226.19414.546i.too
14.6793C8.574134.202132.142133.704190.24515.716
2.2641.8022.2881.6531.8431.6702.6272.4852.563
8C.282-104.994
39.845182.965
3.195-15.386
-129.6672.073
25.7266.C79
-6.3546.154
261.925122.138120.417120*906-18.897-13.749-2.662-2.548-2.837-2.788-2.665-3.106-2.403-1.959-2.791
80.26641-104.99027
39.87974184.P3937
3.24291-10.80429
-126.316062.39625
25.627669.47973
-2.7147110.01628
286 .28368127.9S894125.02934127.22719
4.469424.58905-.00000-.00000
.00000-.06271-.06019-.06200-.02655-.02548-.02475
80.21641104.99027
39.B7975184.84427
3.2430011.25805
126.335402.09627
25.828019.645873.17152
10.153892S6. 47080128.02816125.96772127.26699
9.331499.19484
.97980
.90778
.96193
.91206
.92141
.91674
.75956
.63957
.73229
POINTS2483248324832483248324832483248324832483
" 2483248324832483246324832483248324832483
""248324632483248324632483246324P3248324832483248324B324632483248324632483248324P32 4 8 32 4 8 32 4 8 32 4 8 324932483248324832483246324832483
" 2 4 6 32483248324832483
A.50
>•t—4-»to
a: 03CL
cO •!->
O ••-O» i—s_ u_•a o•uT3C
CMCO
O O
• O (/>- CO
>» o
O) O) to•M S 1-<O ••- 3o »— S
.c•tJ(OQ.
•4->JCCT
OOo
ooooo
(6ap)
o•uoo
t.at
IT)
<*O
o>OJ
• 0)Lf> T3O 3
i.O
ooor-.
CDCDO
oto i—
• ienro
00
vo
at
ooo
CO
co:
O
-M(O
O
fOCL
•=1-
=C
O)S-3O1
A.51
LJX
uOfX
dX
ac.x
oo
oCD
oCO
OCSJ
o oCM «
o o oT-« (MI I (s/ui)
o o o o oCM —. —< CM
I I
OO
cu'
3CD
-oc
OJ
O COo
i— C<U =3
VO
cn
O)• r- *S- COO Ol4-> O</> C
•r1" ^J: s_
0)
oo
O)
A.52
TABLE A.11. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 8.
I. Mean Airspeed (m/s)
101.6 100.7 102.4
H. Standard Deviation ofGust Velocities (m/s)
uw.
XL
2.71
CTw.xc
2.46
aw.
XR
2.31
aw,YL
3.54
w.YC
3.53
aw.
YR
3.50
III. Standard Deviationof Gust VelocityDifferences (m/s)
XRC XRL
aw,
ZL
4.05
vwzc
3.87
aWZR
3.95
1.12
1.34
1.02
CLCL RC
1.11 . 1.02
°AW a/ZCL
1.23
1.30
l . l l
™ZRL
1.52
IV. Integral Length Scale (m).
XL XC XR
412 411
\L \
387
1214 1122 1179
ZL ZC ZR
538 560 522
A.53
1.0 " i i i i | i i i rw
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.43. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 8.
A.54
c4)
<uo
o
0)IMt,Ouo1
I I I 1 I I
I \ I I I I
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.44. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 8.
A.55
<U'o
0)oo
IOIo
R'S
O
H
1.
0.
-1.
WXRC
\
1. L
0.
-1.0.
WZRC
WZCL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
-10GO.
Figure A.45. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 8.
A.56
01b
102
10°
10-t
\
I
io8
10°
10-
von KarmanN= 512SEG.= 3
—von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
WZL
von KarmanN= 512SEG.= 3
—von KarmanN= 512SEG.= 3
•von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
Wv
von KarmanN= 512SEG.= 3
—von KarmanN= 512SEG.= 3
ID" 10° 10~8 10°
K = u/v (m
10-2 10°
Figure A.46. Normalized auto-spectra of gust velocities, Flight 6, Run 8.
A.57
©F. POOft'qUALrr*
108
10«
10-
10*
10°
io-8
108
100
io-8
: N= 512! * SEG.= 3
f X WXCL- +
^ %r rir
r
=z' N= 512f SEG.= 3- •+•
r \ WYCL
r
r ++
• , ,,,„„! J , ,,„„,! ,,:
j. . N= 512f + SEG.= 3
F +++* WZCL+
r ^w-i.
! ^
r
ri tiiniil \ t t iiiti! t itnnvt i 11 inn
N= 512! + SEG.= 3
f +\+ WXRC
r •)-.
|-
N= 512f + SEG.= 3
f + WYRC
f +V
:
~ ,1 1 , ,,,„.,!
: N= 512f + SEG.= 3
r ^ WZRC•H-
*~ +*$*
\ ^
ri i Html i i iitinl i i itttttl i i iiiti
N= 512f + SEG.= 3
r %+. WXRL
: V
r ^r
B-
~ , 1 , 1 , in.ml , ,,,|,,,I5
N= 512F SEG.= 3- +
r + WYRL
r +v**5" +-KSteLi- ^SSgf
• , , 1 , , 1 1 , ,,„„,!
N= 512f + SEG.= 3
r ^ WZRL
[ ^\ %r
ID'8 10° lO'8
K =10° 10~e 10°
Figure A.47. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 8.
A.58
w x w z
' I I HUM InmiJ iltnitn i I HIM
1(TZ 10° 10~8 10°
K = u/V (m'1)101-8 10°
Figure A.48. Two-point cross-spectra of gust velocities, Flight 6, Run 8.
A.59
TABLE A.12.
ORIGINAL PAGE ISOF POOR QUALmr
List of All Parameters Measured and Their Range of Values,Flight 6, Run 8.
START TIME • 93660.3312 STOP TINE 5070*.6812
CHANNEL2 PHI DOT3 ACCL N CG4 THETA DOT5 THETA6 PHI7 PS I 18 DEL PSI 19 PSI 2
10 DEL PSI 211 ACCL N LT12 ACCL N PT13 ACCL X CG14 ACCL Y CG19 ALPHA CTR16 BETA CTR17 TEMP I1* TEMP PII ACCL 2 INS20 ALPHA RT21 BETA RT12 ALPHA LT23 BET* LT?4 PSI DOT29 TEHP TOT26 OC LT27 OC CTP28 OC RT29 PS30 TEHP IRT31 0 TO G32 B TO 033 LONG34 LAT35 TRK ANG36 HOG37 VE38 VN3<J ALTITUDE*0 TEHPC*1 EU UNO SPD••2 MS WHO SPD<>3 WIND SPEED*4 W I N D P I»£C0 A I » $ P E S O R"t A IRSPEED C*7 AIRSPEED L*8 DELTA ALT49 INRTL OISP50 UG RIGHT51 UG CENTER*2 UG LEFT53 VG RIGHT54 VG CENTERi5 VG LEFTi6 UG RIGHT57 UG CENTERIS WG L E F T
UNITSRAD/SECG UNITSR A D / S E CRAORADDEGREES "DEGREESDEGREESDEGPEESG UNITSG UNITSGUNITSG UNITSRADRADDEC FOEG FG UNITSRADRADRAOR A DRAD/SECOFG CPSIDPSIDPSIOPSIADEG C ""HETERSDEGREESDEGREESDEGREESDEGREESRADIANSH/SECH/SECKHD E G R E E S CKNOTSKNOTSK N O T SO E G P E E S* /SECf»/SFCN/SEC"ETERS*F.TFRSM/SECM / S E C* /SECN/SECM/SFCH/SECH/SECM/SECH/SEC
HIGH.174
1.319.07*.159•027
215.4093.374
977.2623.2262.3852.388
.190
.169
.108
.046104.74090.196
1.578.109.078.109.035.C72
31.391.789.775.802
11.40826.275
8749926.323180.304
-104.97739.837
211.9623.782
-45.370-81.692
2.13925.48234.524
5.8*740.397
340. 7?6108.704106.930107.63620.04012.47010.C529.983
10.4209.0118.6488.5339.9138.0008.635
LOU-.203-.988-.049
.028-.143
208.364-3.444
570.574-3.683-.153
.002
.013-.153-.100-.132
104.02190.006
.248-.090-.083-.104-.115-.047
29.324.548.540.562
11.33216.841
8743122.163^60.293
-105. CC319.602
2C7.3903.660
-51.063-R9.478
2.C8524.775
4.018-27.355
4.28*236. 35C91.11789.41389.982
-33.674-31.109
-5.099-6.966-6.363
-10.139-11.006-10.721-13.116-13.043-13.229
MEAN-.00299
•24233•00960•06809
-.02451212.69610
.79414.574.66218
,657931.006281.02219
.07240
.00649
.00568-.02270
104.3274390.01833
.99982.01595.01371.01824
-.02990.00376
30.58600.69984.68636.71087
11.3618024.03299
1**+*+****+!
80.29620-104.990**
39.81985209.75281
3.73629-49.12517-85.94697
2.1180*29.5389117.76145-7.5833420.3*195
289.5*371102.*01P3100.65197101.60862-1.04461-1.12069-.00000-.00000-.00000-.02614-.02602-.01972
.04793
.05927
.06483
RHS.03979.98619.01804•07672.04010
212.700211.51749
574.663601.458301.049621.05830
.07744
.04530
.02565
.03688104.3276990.018341.01440
.03168.02927.03167.03935.02102
30.58919.70147.68780.71220
11.3618124.13850
I**********80.29823
104.9904839.81985
209.758013.73637
49.1572395.980262.11B09
25.5393818.5188010.4926921.26516
290.16391102.45117100.70629101.6699413.2120912.500292.B98033.076063.2*4733.358933.399503.424514.098104.069924.21581
17741774177417741774177417741774177417741774177417741774177417741774177417741774177417741774177417741774177417741774177417741774177417741774177417741774177417741774177417741774177*177417741774177417741774177417741774177417741774
A.60
LT>
0>
<O
occO
0) r—i- U-
Q O4->
-a
1 - 1 oI
0><u•o
• 0)s-sco
in
o. i
CO
(6ap)
CM ^~~ "O00 h- =f\ a or- 2 O
.±> <U• CO °"'
^- o
0> 0) <O4_> £ i-( 0 - ^ 3Q I— Q
C7>
Ooo §
J_
O
<oi.0)
CTl
CO
(1)m
ro
CM
S0 2o oo ovo m
a:
-M-CO)
U_
«ico•13<a
o
IDCL
O)
3
A.61
<JoOl>
3cn-ocrejc/)a;
•r- Oo r—o
r— C<1J 3> ce
VO
en
01 U_01
tl wTo a)•M o</i c:•i- a-C S_
aai ':-
oID
O)S-
a>
o o o o o(S/WL)
o o o o oCSJ —i —i CM
I I
A.62
TABLE A.13. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 10.
I. Mean Airspeed (m/s)
R
106.3 105.2 107.0
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC
1.00
1.05
1.07
Xc, °*
1.10
1.31
1.21
II. Standard Deviation ofGust Velocities (m/s)
aWXL
3. 17
aWYL
20.63
aWZL
2.71
awxc
3. 11
aWYC
20.50
awzc2.59
aWXR
3.12
aWYR
20.88
CTWZR
2.60
IV. Integral Length Scale (m).
866
C
894
V \
896
1.08 1.17 1.34
267 302
ZR
286
A.63
1.0R'-'rflihfcC = Center WL = Left
i r
W
i i i i i r
W
L0?
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1.0
0 5. -5. 0 5. -5. . 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.51. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 10.
A.64
0. 4
U
<uou0o5.213!_
SHouIo
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.52. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 10.
A.65
do>
0>oo
o3.513fcouo
a•sPL,IO
1.
0.
-1.
- i
r
-1.
WXRC
WYCL
NYRL
WZRC
WZCL
WZRL
0. 1000. 2000. 3000. 4000.
Spatial Lag ,S=VT(m)
Figure A.53, Two-point auto-correlation coefficient of gust velocities.Flight 6, Run 10.
A.66
102
10°
ICT* r
von KarmanN= 512SEG.= 5
—von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
i I
von KarmanN= 512SEG.= 5
—von KarmanN= 512SEG.= 5
WYC
X
M.l , ,, I I ,1 1
von KarmanN= 5125EG.= 5
ZC
—von KarmanN= 512SEG.= 5
—von KarmanN= 512SEG.= 5
WYR
X
von KarmanN= 512SEG.= 5
10~2 10° ID'8 10°
K = u/V (m
10,-8 10°
Figure A.54. Normalized auto-spectra of gust velocities, Flight 6, Run 10.
A.67
io2
tT 10°
" 10°
161 10~8
IO8
6"b- 10°S>Q> tn-i
N= 512SEG.= 5
WXCL
A
N= 512SEG.= 5
WYCLr- + -f
N= 512SEG.= 5
, • 11,11,1 i muni , .11,11,1
N= 512SEG.= 5
ml , , I M M l l , , ..... i
N= 512SEG.= 5
WYRC
N= 5125EG.= 5
WZRC
N= 512SEG.= 5
WXRL
N= 512SEG.= 5
N= 5125EG.= 5
10" 10° 10~8 10°K = u/V (m
10,-a 10°
Figure A.55. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 10.
A.68
•e-
10a
10°
io-2
IO2
10°
io-2
10s
i nO
w x w zr — LL
r
r
rrr
r
B~•
r
r
rrr
r
r
rr
r
r
rL
r — -LCr
r
r
r
rr
r ~A — LR
r ~ \\
r "\S\r ^\
F \r
r= iiin,J llinul .....«l .iniml
— CL
r — -CC
r
r
r
r
r
r
1" \ ^
r \ v\
| ^'i TU
r ivfyj,
r ^r 'ri niiiij i inittj i iniml i i mm!
— RL
f — -RC
rr
r
rr
r
r \ — RRr ">, \
r \"vVr "*vir V
r
r
io-8 10°
W X W Y
r — LL
r
f
r
i
^>p
r
rrr
a™
r
r
r
rrr
r
r
r
r — -LC
r
r
r
s-
r
r
r "> — LR
r '( *1y(jj|j
P *NjWu
r \ii9liMI™3~
r
r- i ,,,„„! 1 ,.J
— CL
r — -ccrr
f
r
r
r
r ^ — CR
r ^ iSujpir ""V^xrfttl > iWf
r h^ JiATJlfl
rr
r
— RL
p- -— RC
s"
r
rr3
r
r
r V — RR
hlS.r~ * *%**ji L\~ \\ *Wr ^r
^
r:,,,,,,,; ,,,„„! , J , ,,,™J
io-8 10°
W Y W Zr — LL
r
g-
r
rr
r
B~E
I-
3
f
r
rr
r
rrrrr
r ^ — -LCs"
B-
p
r
r
r
f . \ LR
r ^^ > ^|ur ^ ^vAfa
r "M^rr
r:, ,,,,,,,1 , ,,„,„! , ,N,M,| ,,,,,,,J
CL
g- — -CC
•
»-
—
s-
r
r
r A — CR
r J\,\h|
r V'v*?r %r
r
r-
:,,,,,,,J , ,,,„„! 1 1
— RL
r ^ — -RC
5-r
r
rr
r
r A RR
r~S>i v,. Vi»jt|- ^ "iP
r ^tor
rri iiiiinl i i ntml i i tinm i i iimJ
10~8 10°
K = <y/V (m-1)
Figure A.56. Two-point cross-spectra of gust velocities, Flight 6, Run 10.
A.69
TABLE A.14.
ORIGINAL PAGE ISOF POOR OUALfTY
List of All Parameters Measured and Their Range of Values,Flight 6, Run 10.
START TTHE • 50888.3766 STOP TINE • 50997.9766
__ CHANNEL _2 PHI OPT3 ACCL N CG4 THETA_DPT__
~ 5 THETA6 PHI """7 PSI l'"3 _8 "DEL" PSI 1 _
"9 PSI 2" 110 DEL PSI 211 ACCL ~N" Lid12 ACCL 'N RT__13 ACCL X CG J14 ACCL V CG_15 ALPHA CTP16 BETA CTR ~~17 TEMP i"~'__^l18 TEMP P19 ACCL Z INS_20 "ALPHA RT21 B E T A RT ~~"22 ALPHA LT_723 BETA LT2* PSI DOT ""_;_29 TEMP TOT J26~OC LT " __27 OC CTR ""_„t8 OC RT29 PS30 TEMP IRT31 0 TO G '_32 B TO 013 LONG14 LAT35 TB< ANG36 HOGtl VE __ __38 VH39 ALTITUDE»0 TEMPC»1 EM hif i SPO
SPOS P F E Oni«£C
Rti A t P S P E E O C47 AIRSPEED I*d DELTA ALT*9 INRTL D1SP90 UG RIGHT _51 UG CENTER52 UG LEFT33 VG PIGHT£4 VG CENTER55 VG LEFT56 KG RIGHT
UNITS__RAD /SECG UNITSRAD/SEC_
"RAJ3 1" ~RADDEGREES
"DEGREESDEGREESDEGREES
"C'UNITSG UNITSGUNITSG" UNITSPADRADDEC IFDEG FG UNITS"
HICH
-.988.078.132.C93
_3*1.706
3.903^2.307'
__ trw-.113-.988
__..-• P34..024
-.079_176.311_-3.120334.313-3.331
»2o44
_' .193"
_.165_1" .097
.C57103.661
~ 90.1861.688 "
-.517_ j.025.
-.114"-.Pt5-.104
"102.94190.006""
_ M E A N-.00313-.98774
.00588
.06787-.01214
56811_.17890
"337.60727_"" -.01719
1.01049__ 1.02517
.08002
RMS.03061•9B774.01698.07093.02991
_179.59268_"l.31236
_337.606771.29578
RADRAD '"RADPADRAD/SECDEG CPS IDPS IDPSIDPS1ADEG C
.084
.077
.042.072
31.763.876.850.895
11.39226.090
-.C51-.C67-.062-.106-.050
30.905.649.636.650
11.35618.086
(
<
4
31!<
4
1124,
.00964_-.00429-.01729
103.3287190.17989
1.C0426.00559.01772.00848
-.02495.00308
31.21927j.76703.75168.77854
11.3753724.24345
__1. 05800,09322_.03889..01775..03070
JLP3.3287990.179901.01364
.01944I .02909_.02029
.03382
.02057_ 31.22030
_ .76798.75256.77942
11.3753824.23960
"OtGPEESD E G R E E SOEGPFES
RADIANSM / S E CC / S E C ""
J743405.0188742233.354»********************«80.295 " 8 0 . 2 7 9 60.28717
-109.CIO -109.0088239.779 39.R1396
177.2'»71.231
.743
D E G « F E S
1/SfCH/SECDETERS
I/SECH/SECM/SECM/SECH/SECH/SECM/SEC
53 WG L E F T M/SEC
-105.00839.849
179.6565.C519.141
"-106.5812.122
26.999211.599
1.C94397.399359.779114.492111.662113.420
6.9726.036
"" 9.2708.462"8.789
216.162206.917208.197
'_ e.i42_6.8958.411
3.143102.96916
-114.4t9 -111.463872.C97
24.832-199.655-295.580
2.770.034
98.12197.12398.046
-16.652-13.868-8.189-6.839"-7.106
-211.920-209.619-213.526
_J-11.056_-10.782-10.754
2.1084525.70599
9.37796-15.19986
20.54753310.58021107.04264105.22172106.26403-4.91937-4.56191
__ .00000•00000.00000
-.00046-.00531-.00436
.02631
.03045
80.29717105.00882
39.91397178.55840
3.149073.10177
111.498992.10845
29.7081629.6169730.2086639.62092
?19.73217107.07115105.25050106.29486
7.587897.09406
_3.041233.03199"3.08611
20.79883~ 20.40824
20.53657__ 2.55247
2.5V1222.65394
2768276827682768276P27682768276827682768276827602768276827682768276827682763276827682769276927682768276827682768276827692768276827682768276827682768276827682769276827<-9276827682768276827682768276827682766276827682768276827682768
A.70
LO
0»>
0) -(->OC (0
o.cO 4->•i- .c•»-> o>o -r-0» i—S- U_
•r—O O
+J•o
n 1
j i
(6sp)
o-
CM
<1> Ol al•!-> = 2•O -r- 3O I— o
10CL-
i.3O
<o
o»
oI
en0)•o
O)-o
O 3I— +JI -r-
LO
CO
_ o
00
ooo
OOO00
ooor .
oooVO
oooLO
10
en
(t3
S-o
LD
£3cn
A.71
OO
a
3Ol
-oc(O
l/>O)
O i—oO> 3> a:
</) ID
O T-
(/) Ll-
i- too <u+J Ol/l C
•r- <U_C 5-
O)OJ M-
COLT>
O)
3
O O O D OCM —• —• CM
I I (s/ui)o o a o oCM —i —i CM
i i
A.72
TABLE A.15. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 11.
I. Mean Airspeed (m/s)
106.2 105.1 106.9
n. Standard Deviation ofGust Velocities (m/s)
aWXL
3.88
awxc
3.80 3.87
aWYL
3.28
aw.
YC
3.38
<7WYR
3.25
III. Standard Deviationof Gust VelocityDifferences (m/s)
AVXCL
1.23
1.26
1.19
HCL XRC
1.28
1.35
^RL
1.54
1.36
™ZRC ^ZRL
1.53
(7WZL
3.45
awzc
3.39
aWZR
3.44
IV. Integral Length Scale (m).
612
908
xc
645
896
c
1006 1161
622
\C \R
924
827
A. 73
i rW
i r i i |1 I 1 T
N
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.59. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 11.
A. 74
e0)
<uo
co
ouo
1.
0.
-1.
-1.0.
WYL
WZR
Wzc
NZL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.60. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 11.
A.75
1.
0.
-1.
WXRC
WXCL
.auiS0)o
coa
Ioio
Io
-1.0.
-4= J
WXRL
WYCL
NYRL
WZRC
WZCL
WZRL
1000. 2000. 3000.
Spatial Lag ,S = VT(m)
1000.
Figure A.61. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 11.
A.76
10s
10°
10-'r
von KarmanN= 512SEC.= 5
—von KarmanN= 512
von KarmanN= 512
.= 5
von KarmanN= 5125EC.= 5
—von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
—von KarmanN= 512SEG.= 5
T— von-KarmanN= 512SEG.= 5
10,-8 10° ID'8 10°
/c = w/V (m
10°
Figure A.62. Normalized auto-spectra of gust velocities, Flight 6, Run 11
A.77
io2
10*
6"b~ 10°
* 1Q-*
10s
trb~ 10°
U= 512SEG.= 5
N= 512SEG.= 5
N= 512SEC.= 5
wzcu
N= 512SEG.= 5
WXRC
N= 512SEC.= 5
WYRC
N= 512SEG.= 5
N= 512+ SEG.= 5
WXRL
II.Mll
N= 512SEG.= 5
WYRL
N= 512SEG.= 5
WZRL
1Q-2 10° 1(T8 10°K = u/V (m
10,-B 10°
Figure A.63. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 11.
A.78
w w w w w
io-z 10° io~8 10°K = u/V (in"1)
10°
Figure A.64. Two-point cross-spectra of gust velocities, Flight 6, Run 11
A.79
ORIGINAL PAGE ISOF POOR QUALITY
o>>
0)<oa.
4J O>^J *r"
S- LL.•c—Q O
-o
I I
CM ^~."000 I- Cty\ Q o
• o ">•a- ini— .. CTi
CM co
O) Ol fO•M E 1-<O -r- 3Q I— O
cn
OOo
oooCO
I I
(6ap)
L.
O4->Coo
10
i.V
ooon-
ooo
oI
o• <u
Lft T3O 3f— *->
I -r~C7>
-|
i
CO
00
vo
0)
OOO
CM
Oi
C71
1-o
IT)UD
CD
cn
A.80
oM
CJ>-
i i ^r* t
>-20
1 '•
I I I I
V rx . . V-.
ce.X
i i i i
oo
o00
s
oCM
OCM
OO
O Ooo a>w
o(o a>
o(VJ
oCM
oo
oCO
oCO
o(SI
i i i
O O D O O(M »-i •-« CM (s/ui)
a a a o ocxj —• —•< csj
i i
oo
co3a>-octo10OJ
•i- CMo .—o
i— C<U 3> a:
14- cno -^00 Ll_O)
•r" •»1- coo a>-i-> oCO C
O)
10
O)
3
A.81
TABLE A.16. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 12.
I. Mean Airspeed (m/s)
R
107.8 106.7 108.6
El. Standard Deviation ofGust Velocities (m/s)
aWXL
2.39
wxc2.29
WXR
2.35
aWYL
1.54
aw
YC
1.66
WYR
1.64
III. Standard Deviationof Gust VelocityDifferences (m/s)
aWZL
2.15
CTW.zc
2.03
CTWZR
2.09
A\CL
0.77
0.76
0.85
0.71
0.79
0.86
0.89
HCL XRC XRL
0.82
0.93
IV. Integral Length Scale (m).
379
\.324
\
359
290
367
\H
291
ZL
375 392 334
A.82
1.0 i i i | i i r
W
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1.0
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.67. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 12.
A.83
cv'3
<uooco
ou
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.68. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 12.
A. 84
a>-1-4
w«««-!a>ooco3
—13
Io
c.(-IoPL,
1.
0.
-1. L
1. L
-1.0.
J L_
WXRC
j i _ __ i i i
WZCL
-jTi-. J_ _i_==
WZRL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
^000.
Figure A.69. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 12.
A.85
102 r\.
10°
10-'
von KarmanN= 512SEG,= 3
—von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
limg t I
Wxc
von KarmanN= 512SEG.= 3
—von KarmanN= 512SEG.= 3
—von KarmanN= 512SEG.= 3
iltiil I itiiinl i i i itnil i iiiim
-—von KarmanN- 512SEG.= 3
—von KarmanN= 512SEG.= 3
—von KarmanN= 512SEG.= 3
,,.J I i IMIMI! i ..null
10' 10° 10~a 10°
K = w/V (m
ID'8 10°
Figure A.70. Normalized auto-spectra of gust velocities, Flight 6, Run 12
A.86
103 r
b~"6" 10°\3)* 10-8
108
«• 10-*
io2
tr*tr 10°
N= 512SEG.= 3
WXCL
4*•v
N= 512SEG.= 3
WYCL
r +
r
N= 512SEG.= 3
N= 512SEG.= 3
WXRC
N= 512SEG.= 3
WYRC
N= 512SEG.= 3
IRC
x
N= 512SEG.= 3
XRL
Y+
N= 512SEG.= 3
N= 512SEG.= 3
10-2 10° 1(T8 10°tc = u/V (nr1)
10,-3 10°
Finure A.71. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 12.
A.87
—LL—-LC—LR
•6-
.
•e-'
W Y W Z
kr \
—LL—-LC—LR
~ i i ii mil i it mm i i nnjij i i null
rrrf \
if Vrr
—CL—-cc
CR
1 ...... ,,l , ,,,»„! , ,1,1,1,1 ,M,,,J
torf
rr
10-* 10° ID'2 10°/c = u/V (
-,,,,,,ni , ,,,,J .in,,.! ;
10~z 10°
Figure A.72. Two-point cross-spectra of gust velocities, Flight 6, Run 12,
A.88
ORIGINAL PAGE ISOF POOR QUALITY
TABLE A.17. List of All Parameters Measured and Their Range of Values,Flight 6, Run 12.
START T I M E • 51170.2*72 _.. . $TO?_T!M. •.„. «I_69*6_V7?
CHANNEL2 PHI DOT3 ACCL N CG4 THETA DCT5 THETA6 PHI7 PSI 18 DEL PSI 1<J PSI 2
10 DEL PSI 211 A C C L N LT12 A C C L N RT13 A C C L X CC1* A C C L Y CG15 A L P H A CTR16 BETA CTR17 TEMP I18 TEMP P19 A C C L Z INS23 A L P H A RT21 B E T A RT2? A L P H A LT23 B E T A LT24 PSI DOT25 T E f P TOT26 OC LT27 OC CTR?6 OC RT29 PS30 TEMP IRT31 0 TO G32 B TO D33 LONG34 LAT35 TRK ANG36 HOG37 VE39 VN39 ALTITUDE<>0 TEKPC41 E« WHO SPO4? NS UNO SPO4 3 WIND S P t E O44 U1KD O I O E C«.^ A1PSPUD »>' A l f r ' P F I O C47 AIRSPEED L4° DELTA ALT49 INRTL OISP50 UG BIGHT51 UG C E N T E R52 UG LEFT53 VG RIGHT54 VG CENTER55 VG LEFT5^ UG PIGHT57 UG C E N T E R59 UG L E F T
UNITSRAO/SECG UNITSRAD/SECR A ORAODEGREESDEGREESDEGREESDEGREESG UNITSG UNITSCUNITSG UNITSRAORAODEG fDEC FG UNITSRAORADRADRADPAD/SECDFG CPSIOPSIOPSIDPSIADEG CMETERSDEGREESDEGREESDEGREESDEGREESR A D I A N SM/SEC(i/SECKMD E G R E E S CKNOTSKNOTSKNOTSC t G P E E Sf /S ICP / S E CM/SECMETERSMETERSM/SECM/SECM/SECM/SECM/SECM/SECM / S E CM/SECM/SEC
HIGH.062
-.986.052.111.029
184.4132.434
542.0582.3151.9882.086
.124
.134
.036
.045101.862
"".._ 90.3661.491
.047
.076
.048
.030
.04331.765
LOW MEAN-.064 -.00304-.988 -.98774-.049 .00643
.027 .07646-.080 -.02127
"" 180.186 182.08173-1.357 .30705
538.185 540.07757-1.449 .20428
.205 1.00470-.068 1.01963
.040 .07911-.136-.051-.070
101.32290*186
.624-.046-.035-.042-.083-.029
30.997.941 .714.892 .705.936 .726
11.396 11.35925.348 16.001
8744668.1098743795.162'80.298 80.291
-104,994 -104.99639.844 39.805
182.591 180.6503.226 3.158
-1.324 -5.014-109.937
2.12026.27716.929
4.99120.73B
359.647117.021114.310117.359
1.514• U4
4.9334.4044.9645.3184.9324.7678.6917.1487.106
-112.4402.094
24.999-2.010
-17.8201.120
.430103.546102.120102.760-24.648-21.096-8.176-7.584-9.725-4.563-5.004-5.158-4.551-4.181-5.088
.00923-.00894-.01826
101.5949990.36268
.99910-.00128
.01687
.00222-.02533
.0021931.39238
.78944
.77305
.8017611.3776023.70841
***********80.29431-104.99495
39.82446181.62804
3.1B847-3.21335
-111.308522.10687
25.726627.26860
-9.5051712.73116
313.47283108.S8302106.66622107.76448-11.37162-10.43838
.00000
.00000
.00000-.02033-.02132-.02629
.02515
.02639' .02826
RMS.02231.98774,01473.07947.03112
182.084851.09754
__540. 078571.07351
. 1.031251.04544
.08064
.04338
.01590,02791
101.5950590.36268
1.00669.01573.02550.01432.03180.01576
31.39290.79040.77393.80270
11.3776123.78185
***********80.29431104.99495
39.82446181.62681
3.188533.37586
111.309902.10688
25.728267.96615
10.4982913.17653
316.98033108.61235106.6<Jf06107.79463
13.4446612.72263
2.374322.315232.419431.645731.660571.533782.063892.020242.14503
_POINTS1576157615761576157615761576157615761576157615761576
.___.! 5 76
.... 15761576
. .1576... . 1576
15761576157615761576J576157615761576157615761576157615761576157615761576157615761576157615761576157615761576157615761576
__ 157615761576157615761576157615761576
A.89
0)
c£ ao.
-t-> O»(J v0> •—s_ u-•^o o
**-a
IT!
1 g
0)TJ
LOLOo
s a(fop)
•/i-o
CM -— C00 t— OO> O Or- S <U
— in•— •• CM
0> 0> T>•M E l-(O •»- 3Q t— Q
(OD-
o>
(/IOl
Lf>
OOo
oooCO
ooor*.
3o:
o>
co
toQ.
en
ro
013O)
A.90
o<M
OO
a:rvi o.M % M
3<
C£rvi
OCO
oto
otf-1
ooO)>
8 10=JO)
o
(_)>-
o>-
0£x
cjX X
uX
£
g *3<
O(\J
Oo
oOD
OID
Oa>w
v. s§ Ho(XI
o(M
OO
OCO
oCO
oT
o(M
o o o o o(SI —t —i <SJ
f i (s/ui)o o o a o(M _i —. <\|
i i
Ol
•i- COO i—o
r— C0> 3
M- OTO -r-
a>• r— •«&. (/)o a;
•(-> oCO C
o><U <4-E >4-•^ *^I— TJ
«C
s~
A.91
TABLE A.18. Average Turbulence Parameters and Integral Length Scales,
I. Mean Airspeed (m/s)
112.1 110.9 112.8
III. Standard Deviationof Gust VelocityDifferences (m/s)
0.59
0.56
0.65
0.60
0.57
ZRC
0.68
RL
0.76
0.62
^¥ZRL
0.77
El. Standard Deviation ofGust Velocities (m/s)
aWXL
4.69
crWYL
2.31
aWZL
2.25
V. Integral
aV
4.62
aWYC
2.37
awzc
2.22
Length
aWXR
4.75
aWYR
2.37
aWZR
2.36
Scale (m)
\L \C \R
1275 1270 1300
2562 2448 2516
1697 1631 1539
A.92
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.75. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 13.
A.93
c«J'o
4)OU
do
I<uJMI*Ou
0. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.76. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 13.
A.94
ti0)
a)oOCo
oID-,
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
•5000.
Figure A.77. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 13.
A.95
10* r
\
I
10"
10-
von KarmanN=1024SEG.= 5
von KarmanN=1024SEG.= 5
von KarmanN=1024SEG.= 5
von KarmanN=1024SEG.= 5
Wv
von KarmanN=1024SEG.= 5
von KarmanN=1024SEG.= 5
W,
, i.,,,,1
—von KarmanN=102<3SEG.= 5
Wv
10-2 10° io-a 10°
K = u/V (m-1)
io-8 10°
Figure A.78. Normalized auto-spectra of gust velocities, Flight 6, Run 13.
A.96
103 -
•e« jQ-8
10*
•e- 10-8
108
- 10°
«< 10-«
SEG.= 5
WXCL
i i mud
N=1024SEG.= 5 e * SEG.= 5
WYRC
N=1024SEG.= 5
N-W24SEG.= 5
WXRC
SEG.= 5
,J , , ,,,,,J
SEG.= 5
.* SEG.= 5
WYR
-
i i ntnl
N=1024SEG.= 5
i mini
10-8 10°K =
10°u/V (or1)
ic z 10°
Figure A.79. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 13.
A.97
<&>'
•6.".„ 10°•7
10-z 10° 10~a 10°K = «/V (
10~B 10°
Figure A.80. Two-point cross-spectra of gust velocities, Flight 6, Run 13.
A.98
TABLE A.20. List of All Parameters Measured and Their Range of Values,Flight 6, Run 13.
START TIME • 51266*3674 STOP TINE • 91399*7674CHANNEL
2 PHI DOT3 ACCL N CG4 THETA DOT5 THETA6 PHI7 PSI 1P DEL PSI 19 PSI 2
10 DEL PSI 211 ACCL N LT12 A C C L N RTJ3 A C C I . X . C G14 A C C L Y CG13 ALPHA CTR16 BETA CTR .17 TEhP I18 T E M P P19 A C C L I INS,20 A L P H A PT21 B E T A RT2? A L P H A LT23 B E T A LT24 PSI DOT25 TEMP TOT26 OC LT27 OC CTR28 OC RT29 PS30 TEMP IRT31 D TO 53? 8 TO 0 .33 LONG3 4 L A T35 TRK ANG36 HOG3 7 V E31 V»43<> ALTITUDE*o TEMPC41 EH WHO SPO*? NS WNO SPO(.3 yl>-0 S P E E D»<• hlf.C O I S E C0 A K S P E t D A4ft A I R S P E E D C47 AIRSPEED I48 DELTA ALT49 INRTL OISP50 gc PIGHT$1 UG CENTER52 UG LEFT53 VG RIGHT54 VG CENTER55 VG LEFT56 WG RIGHT57 WG CENTER5 ? b G L E F T
UNITSRAD/SECG UNITSRAD/SECRADRADDEGREESDEGREESOEGPEESDEGREESG UNITSG UNITSGUN ITS ,G UNITSPADPADDEG FOEG FG UNITSRADRADRADRADRAO/SECCEG CPS IDPSIOPSIDPSIAOEG CP E T E R S ......DEGREESOEGPEESDEGREESOEGFEESRADIANSf / S E C _f /SKKMDEGREES CK N O T Si -NOTSU N O T SC ( G f > E E SH/SECM/SFCH/SECHETERSMETERSM/SEC. .H/SECH/SECH/SECH/SECM/SECM/SECH/SECH/SEC
HIGH.061
-.968.058.106.071
9.7003.727
367.4433.4631.8251.796.126.223.053.099
100.60390.545
1.593.078.098.069.032.046
32.671.. _ 1.109
1.0761.127
11.38524.219
8745955.56480.285
-104.99639.929
6.091.179
._ 15.667116.476
2.13326.235
5.55415.57327.180
347.009127.644124.804126.681
24.30524.5746.8866.4137.1958.2837.6696.0824.9494.5554.703
LOW-.087-.988
. . -.0*9.005
-.0773.719
-1.798361.810•2.066
.168,346
-.018-.222-.074-.077
100.06390.366
.518-.058-.031-.065-.081-.037
30.210. .701
.690
.71511.34119.109
6741898.066'80.272
-105.01739.799
3.580.079
6.923107.057
2.10123.063
-25.164-16.280
.12913.640
102.728100.961101.855-6.894-6.772
.._,_. -11.374-11.113-11.563-8.162-6.248-8.545-6.451-6.104-5.852
MEAN-.00293
_ -.98774.00569.05467
-.006717.315981.64122
365.236991.371741.010871.02537
.05268
.00796-.01541-.02128
100.24713___.90. 37968
1.00281-.00536
....... .01344-.00372-.02718
.00353._31. 40146,
.85912
.84123
.8711411.3*87622.20841
***********80.27820-105.00729
39.863596.55789
.1409812.75865
111.102032.11312
25.25722-9.97566
3.1771313.62806
108.80332112.64093110.93788112.08051
4.887846.62826-.00000-.00000-.00000-.OC061
.00564
.00358-.01959-.01256-.01172
RMS.02265.98774,01250.05966.02832
7.393991.94792
365.238451.72629
• 1.022681.03705
.05649
.05483
.02073
.02796
POIMI&5176
....51765176517651765176517651765176517651765176.517651765176
100.24718 517690.37970 ._.. 51 76
l.t0067Q 5176.01684 5176.02130 5176.01482 5176
_. 03181 5176.... .01312 .. 5176
lit 4092.3 5176...... .86533 5176
.84729 5176
.87745 517611.36876 517622.23702 5176
******+**** 517680.27620 5176
105.00729 517639.86360 5176
6.65132 5176.14226 5176
._ 12.92836 5176111.12976 5176
2.11313 517625.27419 517610.88719 51769.71923 5176
14.59432 . 5176116.25303 5176113.0U89 5176111.11001 5176112.25469 5176
0. 96447 517610.74572 5176
4.79897 51764.66924
... 4,743152.366152.369092.306612.358932.212332.24696
51765176517651765176517651765176
A.99
ORIGINAL PAQE ISOF POOR QUAJimr
<u>
•2.C0> 4J
0.
O 4J
•M CD(J -i-tt) •—s_ u_o o-a
CNJ
•
O
CM X-N TJ03 I— CT» a o— 2: u
• <}• t/5^)- IDr— •• CO
co un
-3 •— co
<u v <a*-» S i.<o •<- 3Q t— Q
-C4J«3Q.
JZo>
000en
000oo
or-*I
o>a>•o
in T3O 3i— 4->I -r-
CT»
O
IT)
I l
(6ap)
3O
0tJ
<a
V
0oo
0oovo
ro
CM
CO
I/)ai
LO
n
C
CT)
CO
03O.
cn
co
ai
A.100
o<SJ
oo
OLrvi % ce.rvi
3
' t-
DOO
8
>
O>
•a
tt:
3
OS.
3
o
3
ce.x3
oX3
uX3
ofSJ
oo
oo a>w
. •—o10 0)
o<\J
oo
Q§
S
oM
D O O D
(S/UI) PU?M
o o a o oCM —t —i Cvl
I I
Ol
O io
i- l/Jo <u
+-> oto c
O)
CVCO
O)
A.101
TABLE A.2V. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 14.
I. Mean Airspeed (m/s)
R
102.2 101.3 103.1
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC HRL
n. Standard Deviation ofGust Velocities (m/s)
aWXL
0.95
aWYL
0.73
aWZL
0.98
awxc0.93
aWYC
0.76
crwzc0.87
a 'WXR
0.91
aWYR
0.74
aWZR
0.94
0.50
0.45
0.54
0.51
0.43
" e
0.51
0.60
0.47
0.61
IV. Integral Length Scale (m).
337
124
382
\c
373
\
105
c
198
339
125
186
A.102
I I I
w
0 5.-5. 0 5.-5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.83. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 14.
A.103
cJJo
do
0)su(doO
o
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
•5000.
Figure A.84. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 14.
A.104
1.
0.
-1. L
WXRC
WXCL
WXRL
u0)
0)oocoya
IoItJc•8a.
i
o.
-i,0.
.-"•••* I
WYRC
WYCI.
NYRL
WZRC
WZCL
WZRL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.85. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 14.
A.105
10*
10°
10-1
10*
10°
io-
von KarmanN= 512SEG.= 4
—von KarmanN= 512SEG.= 4
—von KarmanN= 512SEG.= 4
von KarmanN= 512SEG.= 1
—von KarmanN= 512SEG.= 4
I
von KarmanN= 512SEG.= 4
von KarmanN- 512SEG.= 4
—von KarmanN= 512
_± SEG.= 4
—von KarmanN= 512SEG.= 4
W,
MM! i I I mill i , ,,.,„' I .1 1 . , mJ , ii,mil I I i mill
10-8 10° 10° 10~2 10°
u/V
Figure A.86. Normalized auto-spectra of gust velocities, Flight 6, Run 14.
A.106
10a
r 10°
10*
b~ 10°
^
108
N= 512SEG.= 4
WXCL
N= 512SEG.= 4
* WYCL
N= 512SEG.= 4
*A
N= 512SEG.= 4
XRC
,,,! i
N= 512SEG.= 4
V
N= 512SEG.= 4
n mil i i mutt i 11 mm
N= 512SEG.= 4
"
, ,,,,,,,1 , , , n , , i l ,,l , . .....j
N= 512SEG.= 4
wr(?L
N- 512SEG.= 4
'*,
io~8 10° ic 8 10° io~8 10°
Figure A.87. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 14.
A.107
ORIGINAL PAGE ISOF POOR QUALfTY
IO2
^
.g, 10°
•a-'"1
io-2
10*
%-'. 10°•7<o<
io-8
10s
1?"._ 10°lAt*w*
io-a
rr
r
rr-r~
T-:
—
ri-
rr
r-rr-
r
r
rr=
•
r
r
-
r
f
r
r
rf
r
•
•
•
'
r
r
r
rr:
f
rr
r
W x w zLL
— -LC
— LR
r ***\
P V* ml
•~ w ^v Tb! V V nl
r iftF *w
s~
~ i i iimJ i iiiiiJ i iiiiml ii MI ml
CL
— -CC
r — CR
2~ v^\
r K.N VL- \ v/\ TI•- V N**i \j• 1 Y». Tr Vi•~ Pni
r~ i i inttJ i HiinJ i i in ml i t ii mil
— RL— -RC
i- — RR
Vs!
- \ Wr v-\ MI
- AA/HIr \\tyr *nr
ID'8 10°
r;-|-
r
r-r
r—
e-
j-
rr
r~rr
—
rr
T
r;
rr
r
—
=-
r
r
rr
rr
r
w*
r:
r
rr
r
r
r:
r
r
rr
W X W YLL
— -LC
r — LR
'r \r ^-^L'*- ^ V ifcli "A^i i"r vVn\r- >>^
ri i mnJ i i mill i i HUM r i iitiiJ
CL
---- ccr — CRr \v
f V-'«m.•— V ' ( ^^: vvty ^
r ^Ar fir• , ,Mlllj , mlllj , ,lmj , lllnj
— RL— -RC
r — RRr V- v ^\r C^\r AvTv'' *r k^?" r|
r~Z
10~8 10°
K = u/V (m"1)
g-
l-f
r
r-r
r—
=-
r"
rr
j.=-
r5-
-
r
rr
r=rr
j-
-
"
r
r
r~
~
=
r
B-
r
rF
r-
s~
rr
5~
r
s"
~
r5-
=•
r
W Y W ZLL
— -LC— LR
\
"~ \"" ^y* ^\
•- v^ *J* Tlk^\ vvi T
— \ l*fc
r ^ri inittd i i mini i i mull i i mnJ
CL
— -ccr — CRI »
r v\r *»/s
t iV- \ "* ulw- V\ V"l ^\} ^ *"» M
r ' v >r ipi iniml i i inml i i until i i iniJ
— RL— -RC
g- RR^ \
: ^^ V,
r v ' \ \
r \'*<'Vr Vjjr jr
ID"8 10°
Figure A.88. Two-point cross-spectra of gust velocities, Flight 6, Run 14,
A.108
TABLE A.22, List of All Parameters Measured and Their Range of Values,Flight 6, Run 14.
START TIME • 51534.6178
CHANNEL UNITS HIGH2 PHI DOT RAD/SEC3 ACCL N CG G UNITS4 THETA DOT RAD/SEC5 THETA RAD6 PHI RAD7 PSI 1 DEGREESa DEL PSI i9 PSI 210 DEL PSI 211 ACCL N IT '12 ACCL N RT13 ACCL X CG ~~14 ACCL Y CG15 ALPHA CTR16 BETA CTR17 TEMP I18 TEKP P19 ACCL I INS20 ALPHA RT21 BETA RT22 ALPHA LT23 BETA LT2<. PSI DOT25 TEMP TCT__2b OC LT27 OC CTR28 QC RT29 PS30 TEMP IRT31 D TO G32 B TO 633 LONG3*. LAT35 TRK ANG36 HOG37 VE38 VN39 ALTITUDE40 TEPPC41 EW WNO SPO42 NS VNO SPO43 hIKO SPEED<•<• WU.O CIPEC•• '• » 1 > S P E E 0 R•>•• A l U P F f O C47 AIRSPEED L48 DELTA ALT49 INRTL OISP50 UG RIGHT51 UG CENTER5? UG LEFT53 VG RIGHT54 VG CENTER55 VG LEFT56 WG RIGHT57 WG CENTER55 WG LEFT
OFGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSRADRADDEG FDEG FG UNITSRADRADRAORADfrAO/SECDcG CPSIDPSIDPSIOPSIADEG CMETERSDEGREESDEGREESDEGREESDEGREESRADIANSM/SECM/SECKMDEGREES CKNOTSKNOTSKNOTSOEGffESr./SECM / S f C
M/SECMETERSPETERSM/SECM/SECM/SECM/SECM/SECM/SECM/SECP/SECM/SEC
.038-.988.037.093.029
341.8593.022
340.3362.8751.4421.525.129.176.029.021
100.24390.5451.265.048.053.049.010.025
28.733
STOP TIHE • 51587,6178LOW MEAN RMS POINTS-.044-.988-.016.050
-.034337.280-1.240336.111-1.390
.579
.461
.040-.161-.023-.051
100.06390.366.771
-.011-.004
. -.012-.054-.01627.748
-.00240-.9877*.00547.07118.00342
_JI?.924461.23042
338,664901.096081.0C4741.01802.08510.00910.00089
-.01563100.1923790.48423.9*881.01730.02038,02040
-.02270.00406
__28. 17497
.01363
.98774
.00916
.07212
.01369339.925671.51986
338.666061.412201.011911.02518.06660.05854.00615.01686
100.1924190.484261.00065.01960.02255,02227.02465.00789
26.17560.745 .626 .70134 .70184.729 .621 .66808 .68656.766 .642 .71302 .71351
11.176 11.145 11.15970 11.1597017.860 12.776 16.23253 16.29063
8741039. 7708739566. 976******* ***************"80.197 "60.171 80. 1B422 " 80.18422-105.079 -105.106 -105.09224 105.0922440.071 40.029 40.04956 40.04958335.652 331.598 333.41964 333.421205.966 5.689 5.93368 5.93371
-40.846 -44.205 -43.02968 43.0355690.4192.27223.359
-14.471-13.78132.31758.620106.619104.176105.32822.46620.8882.8092.7702.8842.1552.2442.1002.1492.0112.941
81.0642.24922.614-24,839-23.10322.62036.58997.83396.25696.660-1.1910.000-2.225-2.218-2.636-2.902-3.218-2.865-3.062-2.893-3.532
86.130582.26196
23.06600-19.14337-18.5517626.7261745.91237103.06016101.2P034102.2304312.0654212.10621-.00000-.00000-.00000-.02446-.02421-.02372,01042.01233.01246
86.167352.2619623.0681419,2120818.6352526.7652146.09625103.07799101.29795102.2485313.3587213.51076.93557.94757.96699.73694.76331.73156,93544.86537.97105
2120212021202120212021202120212021202120212021202120212021202120212021202120212021202120212021202120212021202120212021202120212021202120212021202120212021202120212021202120
212021202120212021202120212021202120.212021202120
A.109
01
2L0) •<->
o_co +J4J en^J *^"0) r-J_ LL.
o o-a
i i «*o
a>•o
LT>0)
eno
in
J IC\J
O
1- 1—
CT(n
(Bap)
OJ »-~. -Oa: t- cCT Q Or— 2; O
en"* °.
cc>•, 00
3 <•
a» <y <o• ( - » £ $ _as ••- 3o I— a
JC
0.
$_o•MCoCJ
CT>
00
I/I(U
CSJ
Ooocr>
ooo00
0oo
oooVO
ORIGINAL PAGE [SOF POOR QUALITY
-,•>.,
- f ^ /"•v.^ --, •' /•
co
03
O14-c
03Q.
O)
O-lCO
<cO)
C7)
'••'.V / ;.
A.no
oCM
OO
'_o:rvi3
_M3
CO
d(0
en
1 1 1 1
01X
£ 1
_X3
O O O O OCM 1-1 — " C M
X3
oCM
§
§ v
^
d
d
d
•r- IO
o r~
oCO
oCM
i- V)O 9)••-> Oto c.c fc.
<u
I— -o
8
S-3o>
/ / \(s/m) P^TAl
O O O O OCM - 7 CM
A.Ill
TABLE A.23. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 15.
I. Mean Airspeed (m/s)
V.
101.5 100.5 102.4
H. Standard Deviation ofGust Velocities (m/s)
QWXL
1.23
(7W.xc
1. 14
(7
WXR
1.17
aWYL
1.87
aw.
YC
1.86
CTWYR
1.85
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC XRL
CTWZL
0.91
wzc0.94 0.98
0.55
0.49
0.54
0.47
0.52 0.45
0.70
0.53
HRC XRL
0.56
IV. Integral Length Scale (m).
480 500 505
V \C \R
1824 1757 1733
ZL
675
ZC
694 712
A.112
1.0 i i i i | i i i rw
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.91. Probability density function for gust velocities and gustvelocity differences, F l igh t 6, Run 15.
A.113
soIou
§<u
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.92. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 15.
A.114
e0)
0)ooco
EouIo
g'Sa.o
E-
I I I .
1000. 2000. 3000.
Spatial Lag .S=VT(m)
Figure A.93. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 15.
A.115
I10a ,
10°
l(Tsr
10*
10°
10-V
—von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
i i iiiiil t i t null i I I null I I tilII
•von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
Wy
—von KarmanN= 512SEG.= 5
.von KarmanN= 512SEG.= 5
fee
von KarmanN= 512SEG.= 5
—von KarmanN= 512SEG.= 5
I i i null i i i Mini i i i mill I I I HUB
—von KarmanN= 512SEG.= 5
10" 10° 10~z 10°
K = oi/V (m
10~8 10°
Figure A.94. Normalized auto-spectra of gust velocities, Flight 6, Run 15.
A.116
•e- 10-z
io2
N= 512SEG.= 5
WXCL
<*»
I 1 1 mil
N= 512SEG.= 5
F +
b\
*
10-a
IO2
r 10°
WYCL
N= 512SEG.=5
10-2
N= 512SEG.= 5
XRC
iil t i t t mil i i i mtil
N= 512SEG.= 5
M- 512SEG.= 5
N= 512SEG.= 5
N= 512
5EG.= 5
WYRL
i i,mil
N= 512SEG.= 5
WZRL
10-810°
K = cj/V10° 10" 10°
Figure A.95. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 15.
A.117
ORIGINAL PAGE ISOP POOR QUAiJTY
IO2
s.'°-•e-
10-*
IO2
•c> mO10«p^
•e-
io-8
10Z
• x1?•a- 10
•e.""
io-8
r
r—3
r
i
rr
r
-
•
•
r
-
r
r
rr
rrr
r
rr
rr
rr
r
r
rr:r
rrr
rrr:rrr
[
w x w z— LL
— -LCr — LR
r V.
r \*\vr \\\r N$r ^ri miitJ i tnitJ i iniwl i in mil
CL
— -ccr — CR
f V,•_ 1 ^L
f \"\\
r ^\
r ^r >r:.I.,..J IIM.J ,,„«! , ,,,J
— RL— -RC
r — RRr \• \ ^A*
r XN \r \\\n:,,,,,,J ,.,,.j . M,,mt . ,,,UJ
io-2 10°
r
rr
r5-
rr
r
r
rr:r
r
3
r
rr
rr
r
r
rrrr
r
r
r
r
r
r^r
r\r•
r
r
r:
r
r
W X W Y
— LL
— - LC
r — LR
r v/-\T \>v-'\~ » <\ W^
r S'ijyr VSr Nri i mnJ i i iiniJ i niiiiJ i i nniJ
CL
— -CC
r \ ~~CR
\ ,N-vr \^-Vr V-;A: " \i •
r SSr w:,,,,,»; ,,,,,,j j , ,i,.j
RL
— - RC
r — RR
r ,V.I * <^.
r \-v\i_ \ ''*, T\Ir ~v. ". J
f ^i IIIIDI i luiin i i iititJ t niitJ
io-8 10°
r
rp
r
r
r
r
1-
rr:r
rr
r
r
rr-r
rr
B-
rr
r-
f
r
r
r
r
r
-r
r-
r^
r
r
r^r
r
rr
w Y wz— LL— -LC
r — LR
r ,\A,f v'»-v\
r V^''V\
r \>
f N=
i mum i i mini i > mml i i miJ
— CL— -cc
r — CRr \Ar v Lr \'-'\\i" VV^3*\ '*4t f
r ^:i iiuml , ,.,,ml , nmirl n 1
— RL
— -RC
r — RRr \A" * VI
r \^'\\\ V Tjir \^^ W
: A. 7ii 1
f ^r:,,,,J J , ,,u.l , ,,n,J
io-B 10°K = U/V (TCI-1)
Figure A.96. Two-point cross-spectra of gust velocities, Flight 6, Run 15.
A.118
TABLE A.24.
ORIGINAL PAGE »SOF POOR QUALTTY
List of All Parameters Measured and Their Range of Values,Flight 6, Run 15.
START
CHANNEL? PHI DOT3 ACCL N CG4 THETA DOT5 THETA6 PHI7 PSI 10 DEL PSI 19 PSI 210 DEL PSI I "11 ACCL N LT12 ACCL N RT13 ACCL X C614 ACCL Y CG15 ALPHA CTR16 BeTA CTR17 TEMP I18 TEPP P19 ACCl 7 INS20 ALPHA RT21 BETA RT2? ALPHA LT23 BETA LT24 PSI DOT25 TEHP TOT26 OC LT27 OC CTR23 OC RT29 PS3C TEPP IRT31 C TO G32 B TO 033 LONG34 LAT35 TRK ANG36 HOG37 VE39 VN39 ALTITUDE40 TEWPC*1 EU WNO SPO*? NS WND SPOHi aisj SPIED-" «INP OIPEC<•«> » USPEtO R•••. AIRSPEED c47 AIRSPEED L43 DELTA ALT49 INRTL DISP50 UG RIGHT"51 UG CENTER52 UG LEFT53 VG PIGHT54 VG CENTER55 VG LEFT56 4G RIGHT57 UG CENTER5C WG LEFT
TIME • 52083.3269
UNITS HIGHRAD/SECG UNITSRAO/SECPADRADDEGREESDECREESDEGREESDEGREESG UNITSG UNITSGUN ITSG UNITSRADPADDEC FDEG FG UNITSRADRADRADRAORAD/SECDEG CPSIDPSIDPSIDPSIADEG CMfTERSDEGREESDEGREESDEGREESDEGREESRADIANSM/SFCM/SECKMDEGREESKNOTSKNOTSKNOTSCfcGPEESM/SLCM/SECH/SECMETERSMETERSM/SECM/SECH/SECM/SECM/SECM/SECM/SECM/SECM/SEC
.066-.986.040.079.145
115.3761.582
477.6331.2561.8101.806.082.210.019.025
99.34390.5451.200.041.056
'....'.' .035.016.025
28.733
STOP TIME • 52156.6289LOW MEAN RMS POINTS-.044-.988-.037-.019-.051
109.036-4.560471.649
~~-4. 830.236.235.023
-.189-.034-.05098.98490.366
.746-.013-.Oil-.016-.060-.01927.254
.742 .636
.725 .621
.771 .64411.232 11.15119.515 14.510
8T57459. 9558751773. 606'80.356
-104.86539.982122.3602.03389.709
-47.1202.266
C 23.724.143
-8.88826.096359.382106.900103.777105.0233.3633.9852. BIB3.2044.2163.6793.3993.4394.9764.0704.298
80.299-104.94039.948118.1891.92486.749
-55.6102.210
22.139-13.043-25.17610.126.393
98. OF*96.4CO97.500-54.520-54.429-3.368-3.193-3.730-5.193-4.696-4.806-2.863-2.784-2.655
-.00080-.98774.00520.05756
-.01393112.70519-1.01255475.05116-1.305201.004791.01722.05731.00960
-.00299-.0162299.1593390.37155
.99543
.01120
.01967•01256-.02227.00291
JL8,17089.69199.67849.70426
11.1718517.04082
»*«*****+*«<60.32786
-104.9029139.96458120.366201.98733
87.63211-51.33699
2.2532623.13803-7.04303-17.8346519.3227021.9983?102.39877100.54715101.52052-11.67177-12.25759-.00000-.00000-.00000-.01988-.02248-.02406-.01340-.01361-.01306
.01534
.98774
.00936
.06128
.03326112.711811.58114
475.052661.779791.014871.02712.05794.07259.00683.02013
99.1593490.37156.99699.01313.02261.01428.02480.00954
28.17255.69241.67888.70466
11.1718617.06934
***********80.32787104.9029139.96458120.37541
1.9874567.6349451.431562.2532823.141197.3698118.186P919.6233P24.04324102,41215100.56036101.5348415.7943416*720481,203471.202471.296201.793441.792921.797061.129331.057851.06971
29322932293229322932293229322932293229322932.2.93229322932293229322932293229322932293229322932293?293229322932293229322932293229322932293229322932293229322932293229322932293229322932293229322932293229322932293229322932293229322932
A.119
ORIGINAL PAGE «Of POOR
0)
•2.COf 4->
CC. tOo.
O -M•f— -C4J a>(j '•-<u •—i- U-
5 o•M
-a
1 1 1 1
^^_
-
! "1 1 ! 1
(J
O
1
o>O)TJ
O. a>in -o0 3•— 4->
1 -r-0»
O
IT)
LOO
Di—
(6ap)
CM - T3CO >— CO1 Q O
^S ^• CO (/)
•4-0r— •• VO
o en
oj a> (o+-> = s_<a -i- 3Q I— Q
<n
CTl
00
co
OJ
ooo
ooooo
ooo
ooo
oo
3"
<-D
c3
C£
A
U3
+J^ZCD
Co
S-o
o>
ai
A.120
oCM
sifj3<
oCO
oo
T3c
i i i i i
OfX
o0£
>-3<
o o o o o(\J I-H 1-1 <\J
o(\J
oo
oCO
oID
ot\j
O
O
oo
oCO
oCO
o
o(M
O0)w
0)
(s/ui) paadg
O O O O OCM _i -< (M
I I
O)
••- 10O r—o
r— C(!) 3> CC
14- o>O -r-
(D• r~ **s- inO OJ+J OCO C•r- O^ s-
O)CU M-E t-
•i— *r—I— T3
COen
<u
A.121
TABLE A.25. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 16.
I. Mean Airspeed (m/s)
R
107.0 105.9 107.8
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC
0.43
0.39
0.46
0.45
0.41
0.45
0.56
0.44
cr.™ cr...... cr.,,,AWZCL AWZRC A¥ZRL
0.51
II. Standard Deviation ofGust Velocities (m/s)
WXLwxc
3.41
crWYL
1.11
crWZL
1.20
3.39
CTWYC
1.15
awzc
1.17
3.39
crWYR
1.13
crWZR
1.19
IV. Integral Length Scale (m).
\.
640
1540 1535 1546
\c637 697
1169 1237 1136
A.122
1.0
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.99. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 16.
A.123
!CJ
oudo
i0)I*IHOU
I
0. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.100. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 16.
A.124
0)ooc.23
—"oSto
n•sIXo
1.
0.
-1.
1. -
0.
1 L_
WXRC
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
WYCL
WYRL
WZRCi _j
NZCL
i i i
WZRL
"3000.
Figure A.101. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 16.
A.125
10-'
10-
•von KarmanN= 512SEG.= 7
[|J i iiiiiiJ i i t HIM! 4 t nun
von KarmanN= 512SEG.= 7
null i t mini t i i iinii i iitu
•von KantianN= 512SEG.= 7
Illlll 1 I iilllj
von KarmanN= 512SEG.= 7
•von KarmanN= 512SEG.= 7
•von KarmanN= 512SEG.= 7
von KarmanN= 512SEG.= 7
•von KarmanN= 512S£G.= 7
1 i Illlltl I I Illllll II 111MB I I I Illtd
von KarmanN= 512SEC.= 7
unl t i mm) i i ii mil i
10'8 10° 10~8 10°
K = 6J/V
NT8 10°
Figure A.102. Normalized auto-spectra of gust velocities, Flight 6, Run 16,
A.126
10*
e-K" 10°o
S^•» 10-8
10e
tiT
tr 10°
^
10*
?ioo
%* 10-8
: N= 512f SEG.= 7
f » WXCL*
i"- +*
: j*
r
I
' N= 512f + SEG.= 7
r *4* WYCL: V
r tm
:
r
" i ,..n«l , ,,.,i,j . , , I , ,ii
1. N= 512f SEG.= 7
r * ++ + WZCL: <*%r +*\f Sr
r
10~8 10°
1 N= 512I SEG.= 7
j- * WXRC
r *****'* *\
f-•: N= 512f + SEG.= 7
r *** WYRC= Xr V: ?<*•: A*.r ^L- afiK
^^b: ^r
~ . ,,,„„! ,1 , , J , ..,„„
1 N= 512f SEG.= 7
: + ^. f*l*
r V
r Iferr
10~8 10°
L N= 512I SEG.= 7
f + WXRL
r +v+r \
r
= N= 512f * SEG.= 7
\
-
;
t i unfit i i mint i i iitnil i i iiiuif
: N= 512[ SEG.= 7
r +*t ++ WZRL
r -^
f Hrr
10~8 10°K = u/V
Figure A.103. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 16.
A.127
OF POOR QUAUFY
10- 10°
^ f HIMl I tlfft* ' IfJIff llllllJ
10'* 10° 10°
u/V
Figure A.104. Two-point cross-spectra of gust velocities, Flight 6, Run 16.
A.128
POOR QUALTHf
TABLE A.26. List of All Parameters Measured and Their Range of Values,Flight 6, Run 16.
START
. ..CHANNEL2 PHI DOT3 A C C L N CG4 T H E T A DOT5 THETA6 PHI
. 7 PSI I . ._9 DEL PSI 19 PSI 2
10 DEL PSI 211 A C C L N IT1? A C C L . N RT13 A C C L X CG ..14 A C C L Y CG ....15 A L P H A CTR.16 B E T A CTR17 TEHP Ila TEHP PI* A C C L Z INS.2C A L P H A RT21 BETA RT22 ALPHA LT23 B t T A LT24 PSI DOT?•> TFHP. .TCT2<> QC LT27 OC CTR2* OC RT23 PS30 TEHP IP I.3 1.0. JO... 632 B TO 0 _.31 LOKG3* LAT25 TRK ANG .3i HOG . .3 7 V E3 3 V M39 ALTITUDE40 T E M P C41 E U UNO SPD4? KS *ND SPD<O W l " 0 S P E E D<•'. wlr .3 Oi l-EC- -•. « I P «; P E t c R
• » i » '. P !• E O C47 AIRSPEED I48 D E L T A ALT49 f N K T L CISP50 UG RIGHT51 UG CENTER52 UG LEFT5 3 V G RIGHT5 4 V G C E N T E R55 VG LEFT56 VG RIGHT! .•• VG C F S T E R• is WG I EFT
TIME • 52203*3041
UNITS HIGH .P A D / S E C .062G UNITS -.986PAD/SEC .033PAD .106RAD .028D E G R E E S 174,902DEGREES 1.934DEGREES S33.250D E G R E E S 1.727G UNITS 1.597G UNITS 1.688GUN ITS
. G UNITS. P A D
RADDEC FOEG FG UNITS ..RADPADRADR A OR A O / S E CDEC CPS IDPSIDPSIOPSI ADEG CH E T E R SDEGREESDEGREES ....
. DEGREES ...D E G R E E S
. R A D I A N SM / S E CH/SKKHD E G R E E S CKNOTSKNOTSK N O T SO E G C E E SH/SKf / S KH/SECHETERSHETERSH/SECM/SECH / S E C
H / S E CH/SECM/StCH / S E Cr /ssc
.073
.204
.022
.036.._.. 99.523
90.9451.261
.029
.062
.033
.031
.03932.474
.889
.866
.89911.40423.636
_fllAfl552.358l60.404
... -104.83139.906
174.9913.059
13,034-90.396
2.12126.70110.67217.633n.ftfc
359,905114.825112.843114.25110.516
7.9406,9856.7006.9094.3655.0615.1665.15t>4.8735.266
STOP TIN
LOW ...-.052-.988-.021
.016-.070
. 171.387-1.387
529.736-1,566
.516
.465-.007
_ _ -.176-.041-.069
99.163. 90.366
.....744-.036-.027-.032-.069-.033
30.603.. . .631
.619.643
11.35614.939
I2U9.33.00S4.00.379
-104.84339.620
172.7952,998
_ 6.642-109,876
2.06625.626-6.632-5.156
.147
.19097.6849 5 . P 3 796.762
-22.049-20.092-5.140-5.096-5.446-3.313-3.616-3.432-3.531-3.152-3.236
t • 52Z99.5291
MEAN RMS-.00304 .01444-.98774 .98774
.00592 .00997
.05495 .05628-.00828 .01937
_173.36213_1T3. 36399.40296 .88380
531.58282 J.3.1. 58337.21066 .81041
1.00992 - 1.01734... 1.02359 1.03089
.03508 .03741
.00714-.01249-.02149
99.4434390.36937
1.00060-,00372
.01386-.00359-.02747
.00349....11.8361.1,. .77804
.76070
.78948.... 11.36102
22.54041
'*.*******»*«80.39196
-104.8371439.66246
174.044903.03136
10.62C68-101.46122
2.1044626.25128
2 .445737.71576
... 9 .64661217.4053?107. 795921 0 5 . 6 5 7 2 2107.02757-5.98500-6.92817-.00000-.00000-.00000-.03762-.03586-.03287
.02143
.02405' .02452
.04786
.01577
.02444- 99.44346
. 90,369361,00286.01131.01730
... .01094.02952,01004
31,83876..78035.76292.79177
11.3810222.57985
1*1*********80.39196
104,8371439,86247
174.046183.03139
10.68262101.61652
2,1044726.25204
3 .2R76710.05797
. 1 0 , 5 6 1 6 7224 .79726107.6711?
107*. 104248.725949.309523.327523.330863.343811.108601.119951.083561.165581.150431.17514
POINTS38493849384938493849384938493849
., 384938493B493849
. . 3 8 4 938493849
... 384938493849384938493849394936493849
... 384938493849
38493649384936493849
. 3849_. 3849...3649
38493849364938493849
.... 38493849
38*938493849
3849384938493849384938493849
3849
A.129
<u>-13
.O) -(->Qi «
Q.
O +J
o ••-(U i—S- Ll_
Q O4J
T3
cna)
0)T3
C7)
o
(/)C\J^~ -D00 t— CO% O O
«tn i/>«* ooi— •• IT)
' r^.
(6ap)
— o
3 «3- ..•-3 •— C
O
O) Ol m•M _E J_
Q £ Q
Oc_>
cn
oo
00
CO
CVI
ooo
ooo00
ooo
ooo
ooin
•-. -.-/SI
t nr-£ ' . - ? ix \rv'>.\ i
•5 ISS.fi
nprr
'»7*
if_ t _± _•F T " , * * - " ~ . ^ ,
i'
:«**:»
W i r ji f ' \ l z ' a r
,-•--:#•.<
rx,^< /-.i-. A!
»«jif i,i -v—
./ -j<.-'' '• Wf'^r» •:
!(u,i,l> ^^Til
'•iiwlf':<»JV-V...
' i7 •III _''(".
#•
, -~n
'/«5
^vy
!Zo
ia
o>+-C
(OCL
-CO)
uno
ec
s_
A.130
oodl>
in3O>
TJCto
to
•i- r-.O r-o
i— CO) 3> cc
•+- o>O -r-
(/> U_OJ
*^~ *«
S- 10o <u4-> Ot/1 C
•r- <UJZ S-
(1)
10o
CD
O O O O O(M —i —• (\J
I I (S/CU)
o o o o oCM —i - (M
I I
A.131
TABLE A.27. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 17.
I. Mean Airspeed (m/s)
VL
97.9
vc
9.8
VR
98.5
II. Standard Deviation ofGust Velocities (m/s)
crWXL
3.81
aWYL
1.61
aw.xc
3.75
aw.
1.77
WXR
3.75
cr
1.77
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC XRL
aWZL
3.11
awzc
3.31
WZR
3.30
1.17
1.21
1.26
1.32
1.15
XCL XRC XRL
1.11
IV. Integral Length Scale (m).
261
\c251 250
1.48 1.17 1.50
L
2208 2138 2192
216
c
277 261
A.132
1.0
0.8
,£>2 0.4a.
0.2
0.0
i i i i
CenterLeft
i i i i i i i i rw
-5. 0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1.0
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.107. Probability density function for gust velocit ies and gustvelocity differences, Flight 6, Run 17.
A.133
0
do
(M0
CJ
I
I I I 1 I I 1
1000. 2000, 3000.
Spatial Lag ,S=VT(m)
WOO,
Figure A,108. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 17.
A.134
WXRC
0)• l-lo£0)ooCO
sooIo
fi•s(XIo
E-
i 1 J 1
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.109. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 17.
A.135
10*
10°
10-'r
10*
10°
10-
10-
—von KarmanN= 512SEG.= 5
WXL
i i Mini i i i HUB i i HHIU ilium
—von KarmanN= 512SEG.= 5
i i HIM i t i IHIB i i i nntl i
•von KarmanN= 512SEG.= 5
—von Karman •N= 512SEG.= 5
Wy
UHH 1 I 11 Mill I 1 IIIMJ
—von KarmanN= 512SEG.= 5
•von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
UlltJ I I HllUl 1 t I Unit I I Unit
—von KarmanN= 5123EG.= 5
i i utml I I imm i ininn i i imtn
von KarmanN= 512SEG.r 5
i iwl . I ii li ttn i i 11 tn4 i i 11 nnl
10-2 10° 10~2 10°
K = <u/V (m'1)
10°
Figure A.110. Normalized auto-spectra of gust velocities, Flight 6, Run 17,
A.136
io8 t- . N= 512
10-a
102
tT 10°
3^* 10-«
10*
10°
10-2
SEG.= 5
tiling | ilniiil I i^pmt
N= 512SEO.= 5
WYCL
' ' ' IMIi i i i nun iii utiil i i i KI
N= 512SEG.r 5
i i Una i i | mill
N= 512SEG.= 5
WXRC
i iniiul I luitiil | | tiiin
N= 512SEG.= 5
N= 512SEC.: 5
ini 1 i II Mid | f jin lit
SEG.= 5
i i in ml i i ttini i itinnl
N= 512SEG.= 5
I t I IHllI I I HI lilt I I Until I I Illllll
N= 512SEG.r 5
mill i i IIIIM
1(T2 10° 1(T8 10°K = w/V (m
1Q-6 10°
Figure A.m. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 17.
A.137
IN
^•e.'
" 10
10
"._ 10•6-
10,-a :
10° 10~*K =
10° 10,-8 10°
Figure A.112. Two-point cross-spectra of gust velocities, Flight 6, Run 17,
A.138
TABLE A.28.
ORIGINAL PAGE ISOF POOR
List of All Parameters Measured and Their Range of Values,Flight 6, :Run 17.
S T A R T TIME • 52*74.7196 STOP TIME 525*9.3196
CHANNFL2 PHI D3T3 A C C L N CG4 T H E T A DOT5 THETA6 PHI7 PSI 16 DEL PSI 19 PSI 2
10 DEL PSI 211 A C C L N LT12 A C C L N RT13 A C C L X CG14 A C C L Y CG15 A L P H A CTR16 B t T A CTR17 T E M P I18 T E h P P19 A C C L Z INS20 A L P H A RT21 B E T A RT22 A L P H A LT23 B E T A LT24 PSI DOT25 T E H P TOT26 OC LT27 OC CTR28 OC RT2 9 P S30 T E H P IRT31 0 TO G32 B TO D33 LONG3 4 L A T35 TRK ANG36 HOG3 7 V E33 VN39 A L T I T U D E40 T g P P C41 EU »NO SPO4? NS bND SPOO r i lNO S P E E D-4 V If.D D I R f c C4} A IHPEt C R46 A I R S P e f D C47 A IRSPEED L*» D E L T A ALT*9 INPTL DISP50_yG RIGHT51 UG C E N T E R52 UG LEFT53 VG RIGHT5 4 V G C E N T E R55 VG L E F T56 VG RIGHT5 7 W G C E N T E R5S t fG L E F T
UNITSR A D / S E CG UNITSR A O / S E CRADRADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSR A OR A DDEG FDEG FG UNITSRADRADR A DRADRAD/SECDEG CPSIOPSIDPSIDPSIADEG CP F T E R SC E G R E E SD E G R E E SD E G R E E SC E G R E E SR A D I A N SM / S E C .....M / S f c CKMD E G R E E S CK N O T SK N O T SK N O T SO t G B E E SM/SKM/SECM/SECMETERSM E T E R SM / S E CM/SECM/SECM / S E CM / S E CM/SECM/SKM / S E CM / S E C
HIGH.209
-.986.122.17*.07*
275.2807.371
272.7*37,1662,9*52.434
.231
.168
.132
.07999.70390.5*5
1.693.152.098.123
.0**
.06633.065
.627
.80*
.82911.61225.53*
LOW-.217-.986-.113
.023-.126
265.777-1.857
263.590-2.007-1.779-.775
.017-.173-.162-.167
99.16390.366
-.253-.139-.123-.165-.163-.056
29.717.508.502.512
11.46*16.422
MEAN-.00170-.9877*
.00652
.06875-.01293
RMS.0*5*6.9877*.02*51.09**7.03573
270.7*801 270.75*253.08773
268.555582,892071.010731.02259
.06352
.00220
.00539-.0317*
99.4793390.37*27
1.00389.01270.00510.01262
-.039**.00*91
31.7*151.65868,6**57.66707
11.5932922.06122
3.59689268.56166
3.*267*1.081561.0879*
. .,08997,.0*995.02780.0*5*5
99.*793790.37*28
1.02006.03302.03051.031*1.0*893.02069
31.75509.66230.6*776.67026
11.5932922.15976
6757893.9908750806.508**********************80.426
-10*. 81739.757
272.4824.812
_ -91.7794.1652.032
26.20726.18P12 .P56*3.674
359.962109.707107.757109.53861.85120.372
6.6298.3016.6*79.882
10.1859.66*
12.36113.83811.3*1
80.370-10*. 902
39.755267.132
4.646-100,650
-*.8l*1.942
25,182-15.593-41.3*9
.296
.29186.52685.7*286.239-7.769-6,076
-13.898-13.9*2-1*.650-16,800-17.67*-16.259-12.819-12.9*0-13.187
80.39767-10*. 86002
39.75631270.95910
*. 73520-96,39310
1.653041.95573
27.06536.39163
-6.9280712.21*74
171.0070998.4640096.8169997.859*6
5.556905.08689-.00000-.00000
.00000,01*17.01795.03311.02*33.03258.02656
80.3976710*. 66003
39.75631270.96365
*. 73532_ 96,*3963.
3.118511.95575
27.076677.26085
13 .4S64015.2903*
210.5326*98..5760996.9312097.980*1
9.559026.676693.8*9983.6*1313.896215.939505.9*0005.6270*3.*75263.*67513.5*615
PUIM15298*296*298*298*298*298*298*296*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*298*
• 298*298*298*298*29842964298*2964298*298*298*296*.298*296*298*298*298*
_ 298*298*296*
A.139
10r— -CO) 4->
(X (QQ_
O +->•i-* -e-w o>u ••-
0 O
c•r*oe
LT>
O
I
(Ux>
o• <uu-> -o
O 3
o>co
I ILOo
CO
(6ap)
X> (- CW Q Q•— s: o
>, ro
3 "sT ••O ^- C
O
OJ OJ «34J E t.(O ••- 3Q t— Q
_ O
(OQ.
S-
o4->Coo
CO
LO
o oo oo oO> CO
ooor^
ooo
ooo
ORIGINAL PAGE S3OF POOR QUA*/TY
<\ vrN4 \ A.^^5i "
1 S^°A' ••**>*-.('
-. . *
CO
c
O)
co
to4-of-
(OQL
<C
S-
A.140
ood>
cn13C
•r- COO r—O
r— CO) 3
IX)
M- cnO ••-c/> LL.0>
•r- •>s- toO Ol+-> oto c
•r- 01J= 5-
01O) 4-e M-
• r-1 *r-!— "O
O>
o o o o o(M .-. ^-i t\J
I I (S/UI) p38dg
A.141
TABLE A.29. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 18.
1. Mean Airspeed (m/s)
R
103.5 102.1 104. 1
U. Standard Deviation ofGust Velocities (m/s)
CTW.
XL
4.40
W,XC
4.24
W.XR
4.09
aw.
YL
4.11
aw.
YC
4 .21
aw.YR
4.14
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC HRL
aw,
ZL
4.09
(7W,zc
4.16
aw,
ZR
4.25
1.45
1.52
1.46
XCL HRC
1.54
1.66 1.62
1.67
1.68
rZRC A¥ZRL
1.93
IV. Integral Length Scale (m).
XL
255
\L
WX
258 261
1198 1136 1155
LWZR
428 520 425
A.142
1.0
0.8
,0
8 0.4
0.2
0.0
I i i r
CenterLeft
-5. 0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.115. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 18.
A.143
cQJ'o
<uo
ao£.2"oJ
ooio
1.
0.
-1.
-1.0.
Wxc
WXL
WYRj i i
WYC_i i i
WZL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
3000.
Figure A.116. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 18.
A.144
1.
0.
-1.
WXRC
WXCL
WXRL
0)oO
co
J5"5
Io
NYRC
WYCL
WYRL
n•s&,io
.1.
-1.0.
I i
WZRC
WZCL
WZRL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.117. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 18.
A.145
10*
10°
10-'r
b\«
10*
10o
10-
10a
10°
von KarmanN= 512SEG.= 3
Wy
—von KarmanN= 512
V+ SEG.= 3
WYL
von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
Wy
,1,1 I I.MMll J
—von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
W,
von KarmanN= 512SEG.= 3
Wy
mid
—-von KarmanN= 512SEG.= 3
II.Mll
—von KarmanN= 512SEG.= 3
10,-2 10° ID'8 10°
* = «/V (m
ID'2 10°
Figure A.118. Normalized auto-spectra of gust velocities, Flight 6, Run 18.
A.146
10*
6-10°
•e- 10-z
io2
tTtT
'?
10*
- 10°
N= 512SEG.= 3
WXCL
V
N= 512SEG.= 3
WYCL
n inn i i i mill
N= 512SEG.= 3
iiinin i t limit i iiiiint
N= 512SEG.= 3
WXRC
N= 512SEG.= 3
N= 512SEG.= 3
WZRC
N- 512SEG.= 3
WXRL
N= 512SEG.= 3
N= 512SEG.= 3
WHRL
i i inn! I 1 tiinil i in Hill i i i mill
10' 10° 10~a 10°K = u/V (m"1)
10-a 10°
Figure A.119. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 18.
A.147
POOR
10-z 10°
K = u/V (m"1)10~a 10°
Figure A.120. Two-point cross-spectra of gust velocities, Flight 6, Run 18,
A.148
OF POOR QUMJTf
TABLE A.30. List of All Parameters Measured and Their Range of Values,Flight 6, Run 18.
S T A R T TIME • 52564,5399
CHANNEL UNITS HIGH? PHI D3T3 A C C L N CG4 THETA DOT5 THFTA6 PHI7 PSI 18 DEL PSI 19 PSI 2
10 DEL PSI 211 A C C L N LT1? A C C L N RT13 A C C L X CG14 A C C L r CG15 A L P H A CTR16 B E T A CTR17 TEf.P IIF T E M P P19 A C C L Z INS20 A L P H A RT21 B E T A RT22 A L P H A LT23 B E T A LT24 PSI DOT25 T E M P TOT26 DC LT27 QC CTR28 QC RT29 PS30 TEMP IRT31 D TO G32 8 TO 033 LONG3 4 L A T35 TRK AN636 HOG37 VE38 VN39 ALTITUDE40 TEMPC41 EU USD SPD42 NS VND SPO43 r f lM ) SPEED<•- ait .o O I R E C- i A I R S P E E D R
47 A IRSPEED I48 D E L T A ALT49 INRTL DISP50 UG RIGHT51 UG C E N T E R52 UG LEFT53 VG RIGHT5 4 V G C E N T E R55 VG LEFT56 WG RIGHT5 7 W G C E N T E R58 UG L E F T
R A D / S E CG UNITSR A O / S E CRAORADDEGREESDEGREESD E G R E E SDEGREESG UNITSG UNITSGUNITSG UNITSR A DR A OOtG FOEG FG UNITSRADPADRADRADR A D / S E CD£G CPSIDPSIDPSIDPSIADfG CMETERSDEGREESDEGREESDEGREESD E G R E E SRADIANSM/SECM / S E C
D E G R E E S CKNOTSK N O T SK N O T SP E G P E E SP / S F Cr / s t cM/SECMETERSMETERSM/SEC _ . ._.M/SECM/SECM / S E CM / S E CH/SECM/SECM / S E CM / S E C
.195-.986
.087
.153
.14535.765
6.342397.367
6.1082.5882.747
.316
.157
.092
.07099.16390.545
1.645.114.078.102.046.072
34.049
STOP TIHE • 52631.3149
LOW MEAN RMS 1-.207 -.00258-.988 -.98774-.084 .00333-.012 .07550-.127 .00356
25.910 31.45116-3.003
388.214-3.389
-.636-.247
.017-.118-.081-.159
97.72490.366
.415-.092-.100-.075-.141-.068
29.520
2.35194393.41160
2.062831.001691.0130C
.15350
.00152-.00708-.03934
98.3955590.46761
1.00154-.00050-.00414
.00208-.0451"
.0036831.36908
.06040.... .98774
.02547
.08620
.0415231.49658Z.8755l.._.
393.414942.668791.084111.08702
.17344
.03763
.03364
.0535698.3961290.46765
1.02298.03735.03295.03573.05598.02713
31.390651.004 .474 .74758 _ .76334 ...
.989 .478 .73113 .746261.026 .481 .75578 .77157
11.604 11.566 11.58464 11.5848526.090 12.776 20.59054 21.00565
8754689. 93387 51012. 826******* ***************80.379
-104.87039.61932.552
.64370.764
112.2451.975
27.29924.32054.57055,573
225.526121.60511S.295120.086
20.63320.283
9.7608.526S.1749.664
.... .. 11.3768.7169.557
_ 9.4809.369
60.365-104.904
39.77630.151
.47549.79083.533
1.94825.061
-16.13414.96715,448
149. 2?68 3 . P 5 38 3 . 6 3 683.232-5.974
-12.200-13.188-13.847-13.089-12.167-13.122-11.608-11.531-11.527-10.305
80.37110-104.88764
39.7968331.27949
.5715662.60382
102.853071.96161
26.094967.90204
36.70662..... 3 8 , 3 0 3 4 2
191.73120104.08300102.41479103.52546
7.328284.10521
.00000
.00000
.00000
.16674. .18613
.19356
.10974._ .13023
' .08614
80.37110104.68784
39.7968431.28723
.5723462.98293
103.255081.96162
26.0995210.9549637.43329
...... 39,00336192.09765104,6?399102.94240104.06756
9.684659.378023.924714.008534.174153.94106
..... 4,035993.96635.3.966953.895133.79863
POINTS1871187118711871187118711671187118711871 ....1871
.187118711871187118711871187118711871187118711871187118711871187118711871187116711871187]187]18711871187]187]167318731873197118731 8 7 3187]
187118711871187118711871187118711871187118711871
A.149
<U
10
O) +•>
Q-
O •»->
<U •—
O O
C
(6ap)
Q o
c\j w
00 VO
V 0) oj•u E £
o>
oooa\
ooooo
s_ocoo
ra
s-
ooo
ooo
0)•o
(ULT)
I -r-C7>
in,-
CO
LOO
CO
vo
t/>(U
co
CNJ
oo
-.'J.
\ \ — i p )^^X)J-
9
C
a:
vo
o•r—
(O
O
CM
cu
A.150
oCM
OCO
OCO
O<f
O<\l
o o o o oCM i-< —I (\J
I I (S/TU) paadg
o o o o oCM —• —i C\l
I I
oo<u>
CD
TJc
o
-
£
}.
"
.
,
CM
CDO
OCO
CDO5
.OT1
CDCM
„
Oa>w
0)
E-
03
<u•r~4-> •
0 i—O
r— COJ 3> o:
4-> «
3O>4->
M- 01O -r-
l/) U_OJ
• »»S- to/^ ft \
•M O10 C
••- CU
(UOJ
I— -o
<u
O)
A.151
TABLE A.31. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 19.
I. Mean Airspeed (m/s)
R
96.6 95.5 97.3
III. Standard Deviationof Gust VelocityDifferences (m/s)
A\CL
1.13
1.27
7tf"ZCL
1.17
°
1.19
ZRC
1.44 1.29
RL
1.46
1.29
iWZRL
1.69
II. Standard Deviation ofGust Velocities (m/s)
XL
2.45
aWYL
3.44
wxc W
2.42
XR
2.41
CTWYR
3.62 3.55
aWZL
crw
3.19
zccrW
3.11
ZR
3.10
IV. Integral Length Scale (m).
• W ^*W ^*W
190
1579
190 194
1560 1467
ZL
308
ZC
330 307
A.152
1.0
0 5. -5. 0 5. -5. ' 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.123. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 19.
A.153
fi<u
<uoutia
s_ouIo
0. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
3000.
Figure A.124. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 19.
A.154
a
HIooco
ooI3
G'S
1.'
0.
-1. L
WXRC
i. -
WXCL
WXRL
WYRC
WVCL
WZCL
0. 1000. 2000. 300Q. "5000.
Spatial Lag ,S=--VT(m)
Figure A.125. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 19.
A.155
102 ir
10° r
10-'i-
b>.«
102
10°
10-
102
10o
10-'r
von KarmanN= 512SEG.= 4
—von KarmanN= 512SEG.= 4
,,J . , i .mil I , in,,,.
von KarmanN= 512SEG.= 4
WZL
von KarmanN= 512SEG.= 4
—von KarmanN= 512SEG.= 4
ml , ,, mill
von KarmanN= 512SEG.= 4
—von KarmanN= 512SEG.= 4
Wy
—von KarmanN= 512SEG.= 4
—von KarmanN= 512SEG.= 4
10-a 10° ID'2 10°
K = u/V (nr1)
10,-8 10°
Figure A.126. Normalized auto-spectra of gust velocities, Flight 6, Run 19,
A.156
108
r 10°
«• 10-*
108
108
66"
N= 512SEG.= 4
WXCL' \
N= 512SEG.= 4
WYCL
**
N= 512SEG.= 4
WZCL
N= 512SEG.= 4
WXRC
N- 512SEG.= 4
++
N= 512SEG.= 4
f ^
N= 512SEG.= 4
N= 512SEG.= 4
WYRL
j
N= 512SEG.= 4
t mul i i nun! i i limit i iitnJ
10-8 10° 10° 10,-8 10°
Figure A. 127. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 19.
A.157
W x w z
102
io-z
-f
T
—LL
—-LC
—LR
W X W Y
i in i rJ t i ntiiJ i 1 11 mil i i inml
rf
r r
rr
-LL
-LC
-LR
N y W z
rr
—LL
—- LC
—LR
— CL
102 r
10°•&•
ic 8
10Z
10°•e*
rr
r f
-CL
-CC
-CR
i itniitl t i until j t mini i innJ
—CL
J
-r
rrrf
imil i i mini i i mini i i inij
rr "\
rr
IT
—RL—-RC—RR
i i mini i i inml i I mnn i iininl
10,-z 10° ID'8 10°K = w/V (
10~a 10°
Figure A.128. Two-point cross-spectra of gust velocities, Flight 6, Run 19.
A.158
TABLE A.32.
ORIGINAL PAGE BOF POOR QOAUPf
List of All Parameters Measured and Their Range of Values,Flight 6, Run 19.
START TIME • 52704.6901 STOP TIHE • 52766.2901
CHANNEL2 PHI OOT3 ACCL N CG4 THETA COT5 THETA6 PHI7 PSI 18 DEL PSI 19 PSI 2
10 DEL PSI 211 ACCL N LT12 ACCL N RT
_J3 ACCL X CG14 ACCL Y CG15 ALPHA CTR16 BETA CTR17 TEf<P I18 TEHP P19 ACCL Z INS20 ALPHA RT21 BETA RT22 ALPHA LT23 BETA LT24 PSI DOT25 TEMP TOT26 OC LT27 QC CTR2B OC RT29 PS30 TEMP IRT31 0 TO G3"> B TO D33 LONG34 LAT35 TRK ANG36 HOG37 VE3i VN39 ALTITUDE
~ 41 Eh kNO SPD4; NS UN-) SPO*3 W I Mi SPEED
" -<. * INO oi»EC| 45 AIRSPEED R
47 AIRSPEED L4fl DELTA ALT49 INRTL DISP' 50 UG RIGHT51 UG CENTER
" 52 UG LEFT53 VG RIGHT
" 54 VG CENTER55 VG LEFT56 MG RIGHT57 UG CENTER56 WG LEFT
UNITSRAD/SECG UNITSRAD/SECRADRAODEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSRADRADDEC FDEG FG UNITSRAORADRADRADRAD/SECDEG CPSIDPSIDPSIDPSIADEG CMETERSDEGFEESDEGREESDEGREESDEGREESRADIANSM/SECM/SECKMDEGREES CKNOTSKNOTSKNOTSG E G F E E SM/SECM/SEC
M/S6CMETERSMETERSM/SECM/SECM/SECM/SECM/SECM/SECM/SECM/SECM/SEC
HIGH.195
-.988.089.138.085
194.9797.048
557.5481.5212.3783.042.200,181
LOW-.140-.988-.074.027
-.142185.469-7.323543.466-7.594-.916-,363.001
-.198.118 -.090.073 -.136
98.984 98.26490.725 90,5451.561 .312.141.110.107.054.080
31.687
. -.077-.077-.081-.123-.07029.422
.786 .472
.759 .457
.776 .47811.623 11.56425.534 18.906
8753817.2988751939.41880.371
-104.88139.826192.722
3.418-14.968-79.477
1.97627.29430.83739,46640.473296.566105.990104.772
106.56516.44710.14011.17211.60311.5319.7948.9547.763
10.13711.37310.656
80.370-104.89339.780190. C893.254
-18.960-68.226
1.93525.101-6.486-4.024
.41688.50783.41781.645
82.937-24.091-23.988-9.346-10.301-9.250-8.477-9.466-8.703
-15.526-13.960-15.337
MEAN RMS-.00296 .04568-.98774 .98774.00696 .02169.08364 .08753
-.00324 .03751191.60679 191.61632-1.19551 2.48680549.52867 549.53279-1.56996 2~.451861.01457 1.069681.02964 1.08828.07291 .07944.00464 ,05013,00689 ,02856.
-.02491 ,0422698.69812 98,69824
... 90.54659 . 90.546591.00751 1.02198.01623 .03496.01097 .03335.01676 .03253
-.03366 ,04510.00379 .02652
31,01732Zl2l«02043.64352 .64675.62902 .63201.65209 ,65506
11.59795 11.5979621.76447 21.79981
**********************80.37043 80.37043
-104.88735 104.8873539.80218 39.80218191.39770 191.398713.36306 3.36324
-16.83823 16,85999-83.35918 83.408491.95249 1.9525026.46305 26.4661512.72001 15.1062317.90769 16.6451023.05311 24.15235
212.72362 213.6597597.25571 97,3652095.54755 95.65967
96.61565 96.73505-6.97398 10.78014-5.89437 10.00265-.00000 3.20215-.00000 3.25581-.00000 3.35707-.11567 3.92306-.11009 3.94191-.10724 3.74048-.03404 3.70736-.02507 3.68525-.02231 3.85930
24642464
.. .246424642464246424642464246424642464.246424642464
._.. 246424642464
. 2464246424642464246424642464
.246424642464246424642464246424642464246424642464246424642464246424642464246424642464
246424642464246424642464246424642464246424642464
A.159
<u
<B
O) +->Qi <0
Q.
O +•»
0 -r-<U r—
Q O•M
•g
~l - 1
J L
•*O
a>•o
un
in
LOt—
o>
(5ap)10
CSJ —. T333 I- C0» Q O•— s. o^^ <u' «3" IO
»3- Or— .. O
O LO
•— C0
tt» Ol f0•*•» E 1~<0 ••- 3Q »— Q
(0Q.
o>
O4->Coo
(O
00
(/>O)
n
CM
OOJ
c3
ec.
ol»-c
OL
JCo>
enCVJ
O)S-
O)
ooo
oooCO
ooo
0 So oo o
A.160
oo
CO3cn•ac(O
l/>ai
•r- OO CMOi— CCU 3> a:
4- O>O T-
CO Li-CU
*f— ft
S_ COO 014-> OCO C
•r- O)
CDd) <4-E 4-
Ooo
<:
i.
o o o o oCM " «-• CM
I I (s/ui)a o a a oCM —. —i CM
i i
A.161
TABLE A.33. Average Turbulence Parameters and Integral Length ScalesFlight 6, Run 20.
I. Mean Airspeed (m/s)
103.3 102.2 104.0
II. Standard Deviation ofGust Velocities (m/s)
aWXL
2.11
aWYL
2.33
aw.xc
2.13
<7
w.YC
2.40
aWXE
2.10
aWYR
2.25
III. Standard Deviationof Gust VelocityDifferences (m/s)
CL
1.13
1.34
1.45
1.28
1.42
1.33
*\RL
1.50
XCL XRC XRL
1.37
HRC HRL
1.66
<7WZL
3.57
wzc3.51
WZR
3.77
IV. Integral Length Scale (m).
376
144
\<436
YC
128
L-
362
SB312
198 205 167
A.162
1.0
0.8 -
0.6
R'^ighC = CenterL = Left
I I T i i i i i \ \ rr i i
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1-RC2-CL3-RL
A N
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.131. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 20.
A.163
1.
0.
-1.
WXR
Nxc
c<U"u
0)ouflo
11
Io
_ L
-1.
0. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
NYC
WYL
Wzc
WZL
4000.
Figure A.132. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 20.
A.164
-4-2
C
<U
MH«4-<V
Ouco
ela
ouIo
- ?
3o
PL,Io
°r
-1.0.
WXCL
!_____—L
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.133. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 20.
A.165
b
'?10°
10-i
s108
10°
10-
von KarmanN= 512SEG.= 3
-von KarmanN= 512
•von KarmanN= 512SEG.= 3
•von KarmanN= 512SEG.= 3
von KarmanN- 512SEG.= 3
von KarmanN= 512SEG.= 3
W,
von KarmanN= 512SEG.= 3
—von KarmanN= 512SEG.= 3
W.
von KarmanN= 512SEG.= 3
10-8 10° 10~8 10° ID'8
K = u/V (m'1)
10°
Figure A.134. Normalized auto-spectra of gust velocities, Flight 6, Run <!0.
A.166
108
10-2
10*
- 10°
102
N= 512SEG.= 3
WXCL
%\
N= 512SEG.= 3
WYCL
^ i iiinJ
N= 512SEG.= 3
WZCL
.1,1 . , ,,,,,
N= 512SEG.= 3
N= 512+ SEG.= 3
WYRC r
N= 512SEG.= 3
1 , ,,,„„!
N= 512SEG.= 3
WXRL
N= 512SEG.= 3
WrRL
N= 512SEG.= 3
WZRL
10° 10~2 10°K = cj/V (m
10,-2 10°
Figure A.135. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 20.
A.167
10-*
10'8 10° 1(TZ 10°K = w/V (m'1)
10°
Figure A.136. Two-point cross-spectra of gust velocities, Flight 6, Run 20.
A.168
ORIGINAL PAGE ISOF POOR QUALITY
TABLE A.34. List of All Parameters Measured and Their Range of Values,Flight 6, Run 20.
START TINE • 52604.3152 STOP TINE • 52334.9692
CHANNEL2 PHI DOT3 ACCL N CG
" 4 THETA DDT5 THeTA
'~ 6 PHI7 PSI 18 PEL PSI 1
" <> PSI 210 DEL PSr2~11 ACCL N LT1? ACCL N RT13 ACCL X CG ~14 ACCL Y CG15 ALPHA CTR16 BETA CTR17 TEMP I16 TEMP P19 ACCl I INS20 ALPHA PT21 BETA RT~Z? ALPHA LT?3 BETA LT24 PSI DOT'25 TEHP TOT26 OC IT27 OC CTR28 OC RT29 PS30 TEMP IRT31 0 TO G32 B TO 033 LONG34 LAT35 TRK ANG36 HOG37 VE3? VN34 ALTITUDE40 TEMPC
. 41 EU WHO SPO42 NS UNO SPD
' 43 WIND SPEED44 WIND OIJ.EC
" 4< A I R S P E E D R' i». ilPSPSIC C47 AIRSPEED t49 DELTA AIT49 INRTl DISP5C UG UGHT51 UG CENTER52 UG LEFT53 VG RIGHT54 VG CENTER55 VG LEFT56 UG RIGHT57 WG CENTER58 UG LEFT
UNITSRAD/SECG UNITSRAD/SECRADFADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUN ITSG UNITSRADRADDEC FCEG FG UNITSRADRADRAORADRAD/SECDEG CPSIDPSIOPSIDPSIADEC CMETERSDEGREESDEGREES "'DEGREESDEGREESRADIANSM/SECM/SECKMDEGREES CKNOTSKNOTSKNOTSDEGREESM/SECM/SfCM/SECMETERSMETERSM/SECM/SECM/SECM/SECM/SECM/StCM/SECM/SECM/SEC
HIGH.234-.986.122.192.086
56.5544.168
415.6733.8732.7513.096.398.124.164.119
98.80490.7252.092.205.134.152.061.080
33.557.863.843.874
11.63427.186
LOW-.135-.988-.157.027
-.11846.452-3.855407.928-4.213-1.227-1.343
.036-.100-.155-.15298.08490.545-.044-.144-.111-.141-.159-.11330.210.504.481.475
11.56710.560
MEAN-.00373-.98774.00343.07552
-.0126453.508501.13628
412.72897.806301.012581.02750.12597.00643-.00725-.0282598.3377790.591071.01042.00053.00660
-.00016-.03402.00327
_32t40597.73629.72098.74739
11.5894122.91253
RNS.03946.98774.02364.08809.03459
"53.527791.80927
412.731281.627781.068291.07798.14404.03352.03304.04592
98.3379490.591101.02653.03711.03210.03169.04643.02725
__J2_, 41696.74211.72633
' .7531211.5894323.46166
8759064. 4 2287 54026. 68 S**********************60.419
-104.81439.80454.559.983
97.81675.3961.97427.68725.91731.31636.500260.654112.605110.559111.87543.54241.6826.9455.7106.4456.9779.0136.46619.92717.02015.904
60.389-104.668
39.77352.259
.83881.33858.1021.927
25.8594.4643.55111.022191.76063.23663.66285.743-3.157-6.033-6.843-7.003-6.545-7.533-7.649-9.300-11.561-11.978-12.394
80.40342-104.8419939.7877952.66599
.9285391.5274969.3521]1.95844
27.1632115.5773620.2575625.95807217.69641104.04720102.23646103.2811726.0174526.55113.00000.00000.00000
-.01178-.00316.00048.16088.18542
, .16906
80.40342104.6420039.7877952.86836.92886
91.6950769.533211.9584727.1849516.1938420.7297326.30518217.96397104.25837102',43991103.4981030.2920629.927562.241242.312052.258352.097302.206452.13B893.448303.232333.25304
20102010201020102010201020102010201020102010201020102010201020102010201020102010201020102010201020102010201020102010201020102010201020102010201020102010201020102010
.. 20102010?0102010201020102010201020102010201020102010201020102010
A.169
ORIGiNAL PAGE ISOF POOR QUALITY
01>
O£ <OQ_
CO 4J
•<- JZ•»-> OTO •!-
<U r—1- U.
r i
t.\t:o o
(J0)
' 00^- Lf)
0) tt) «4J E l_(O -i- 3Q h— Q
oI
a>
o• <us^
0>
o
LOo
to P—• iCT»CO
I/I(U
OJ
OL
IO
en
U_
o
(O
oc
>Oa.
a>
ro
cu
01
A.170
*
o>-
oX X
3
o<Y.X
dX
D D O O O(\J •—• 1-1 t\J
I I
cex
OO
o Oco Q}OT
Oco a)
O(M
O
O<\J
OO
OCO
o
o(M
(S/TII)
o o a a oCM —. —i c\j
i i
ooa>>
CO3en
T3c(O
(/IO)
U CMO
CD>
O T-
O)•r— *»S- tOO CU-!-> Oto c
•r- 0>JZ S_
OJ0) 4-
00CO
=t
s_
A.171
TABLE A.35. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 21.
I. Mean Airspeed (m/s)
R
96.4 95.6 97.6
II. Standard Deviation ofGust Velocities (m./s)
aWXL
3.67
aw. c
3.46
WXR
3.48
aWYL
3.27
aw.
YC
3.30
WYR
3.00
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC
aWZL
3.44
aw,zc
3.42
aWZR
3.57
1.51
AWAWZCL
1.55
1.79 1.61
ZRC
1.63 1.70
1.97
HCL XRC XRL
1.78
ZRL
1.96
IV. Integral Length Scale (m).
uT " i l T ' T I TT* n,, „ Ti ^JL
166
253
153
258
Sv c
147
SB275
158 194 158
A.172
0.0-5. 0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1.0
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.139. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 21.
A.173
1.
0.
-1.
NXR
Wxc
c• fj
a
ouao3a,
"a!t.,»wo
CJ
_ L
l-i—X_ i
-1.
Lo.
WXL
WYRi ., . i
NYL
WZR
Wzc_u 1
WZL .
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.140. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 21.
A.174
*Jc!0>
0)OO
Co
'-13si
1ooIo"3<-*JRO
PHIO<s
L
l.L
0.
-1.0.
WXRC
WYRL
• _ . i
_L_ I
WZ R L •
1 I
1000. 2000. 3000.
Spatial Lag ,S=V7(m)
4000.
Figure A.141. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 21.
A.175
b
"i?
10"
10°
10-
von Karman :N= 512SEG.= 3
—von KarmanN= 512SEG.= 3
—von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
von KarmanN- 512SEG.= 3
Wv
von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
—von KarmanN= 512SEG.= 3
•von KarmanN= 512SEG.= 3
10,-3 10° 10~8 10° 10-
K = o>/V (m'1)
10°
Figure A.142. Normalized auto-spectra of gust velocities, Flight 6, Run 21
A. 176
10Z
102
r 10°
10s
- 10°
N= 512SEG.= 3
WXCL
.
N= 512SEG.= 3
WYCL
+•<!•."
N= 512SEG.= 3
WZCL
N= 512SEG.= 3
WXRC
N= 512SEG.= 3
WYRC
++*tf.
N= 512SEG.= 3
WZRC
N= 512SEG.= 3
WXRL
N= 512+ SEG.= 3
IIMIll
N= 5125EG.= 3
WHRL
10° icr2 10°/c = u/V (m
10- 10°
Figure A.143. Nonnalized two-point auto-spectra of gust velocities,Flight 6, Run 21.
A.177
'.„ 10
-LL
-LC
-LR
r r
• muni .iim.1 I mini iui.nl
LL
—-LC—LR
i inniil i iniml i i m ml t i nntl
pi
—-CC
—CR
ioz
^ 10°
io-
—RL
—-RC
—RR
—RL
—-RC
-RR
i<rz 10° io~8 10°K = u/V (m-1)
10- 10°
Figure A.144. Two-point cross-spectra of gust velocities, Flight 6, Run 21
A.178
TABLE A.36.
ORIGINAL PAGE ISOF. POOR QUALITY
List of All Parameters Measured and Their Range of Values,Flight 6, Run 21.
START TIHE 52918.690* STOP TINE • 52960.2904
CHANNEL2 PHI DOT3 iCCL N CG4 THETA DOT
"5 THETA6 PHI7 PSI 18 DEL PSI 19 PSI 210 DEL PSI 211 ACCL N IT12 ACCL N RT13 ACCL X CGIt, ACCL Y CG15 ALPHA CTR16 BETA CTR17 TEMP I16 TtMP P19 ACCL Z INS20 ALPHA RT21 BETA RT"22 ALPHA LT23 BETA LT
~2<. PSI DOT2i TEMP TOT26 OC LT27 OC CTR23 OC RT29 PS30 TEMP IRT31 D TO G32 B TO 033 LONG3* LAT35 TRK ANG36 HOG
" 3 7 V E~38~VN39 ALTITUDE40 TEflPC41 £V UNO SPO
" 42 NS WHO SPD" <•] Wl'fl SPEED~4* WIND DIPEC' 45 A I R S P E E D R4<> AIRSPEED C47 AIRSPEED L<,* DELTA ALT49 INRTL OISP50 L'G RIGHT51 UG CENTER52 UG LEFT53 VG RIGHT54 VG CENTER55 VG LEFT56 WG RIGHT57 WG CFNTER59 UG LEFT
UNITSRAD/SECG UNITSRAO/SECRADRADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSRADRADDEG FDEG FG UNITSRADRADRADRADRAD/SECDEG CPSIDPSIOPSIOPSIAore cPETERSDEGREESDEGREESDEGREESDEGREESRADIANSM/SECM/SECKMDEGREES CKNOTSKNOTSKNOTSCEGREESM/SECH/SECM/SECMETERSMETERSP/SECM/SECM/SECM/SECM/SECH/SECM/SECM/SECf/SEC
HIGH.187
-.988.124.133.172
220.3336.930
581.8396.8413.8003,744.229.196.126.119
96.62490.7252.273.158.156.126.099.093
32.472
LOW-.211-.988-.142.004
-.103210.125-2.885571.982-3.095-1.446-1.556
.017-.147-.104-.15598.08490.545-.061-.086-.096-.106-.149-.07430.899
.816 .475
.781 .493
.793 .50411.630 11.58125.905 20.918
8757342.9128754752.94180.404
-104.83539.806218.3183.867
-49.668-68.740
1.96427.93632.71236.16137.479272.262107.219106.327108.6312.6310.00011.61810.66413.0149.2419.7209.33610.8089.60110.658
60.393-104.86039.780214.2333.690
-54.592-73.019
1.93026.197-12.838-.4053.931
98.00285.97385.01163.439-31.864-29.527-9.683-10.652-11.653-8.562-8.802-10.182-9.085-7.651-9.245
MEAN-.00081-.98774.00692.06964.00628
214,428231.36186
576.296711.197231.005611,02663.0738B,00737.00494
-.0173796.4082290.724441.00324.01505.01681.01295
-.02629.00231
3_J. 79919.63856.62800.65518
11.6087623.94578
***********"86.39661
-104.8475239.79275215.723193.76632
-51.24423-71.164221.94496
27.2443411.6808410.3264917.34749
223.0106497.6019995.5934996.36692-16.66124-20.04487-.00000-.00000-.00000-.06347-.06555-.05988-.04443-.03628-.02823
RMS_,05916.98774.02633.07536.04803
214.442132.75481
576.301442.68900
.. 1.12389i. 13564.07956
_ .05112,03205.05996
98.4082690.724441.03396.03660.05416.03800.05866.04145
31.80051.64090.63002.65727
11.6087723.96379
***********60.39881104.8475239.79275
215.725283.7665751.2560371.172241.9449927.2467314.5331711.7019918.65677
225.2953097.6751495i 66 57 296.4503518.4436021.644173.841913.871094.187713.362663.606573.519793.576243.439123.46054
POINTS166416641664
_1664166416641664166416641664
._ 16641664166416641664166416641664166416641664166416641664166416641664166416641664166416641664166416641664166416641664166416641664166416641664166416641664166416641664166416641664166416661664
A.179
-i 1
<u>
o>ro
O 4J
U •«-0) r—s_ u_
Q O4->
•o
l_o
(6ap)
OJ *— • T5O) K- C
2g 8^ (D
•» O l/>
>•.
O) OJ f•4J E inj ••-
cn
o oo oo o<T» 00
o-MCOCJ
ooo
ooo
: O
-i i
O>0)•o
IDo
CO•o
C7>
O
LDO
lf>r—
ro
00
O)
Osl
Oooun
CMCM
o4->(O
oM-c:
(OQ.
OlS-3CD
A.180
OCDOT
(U
oo
to3
T3Ctotoo>
•r- CMO CMO
r— C<U 3> o;
CO VO3CT>4->
o ••-to U-01
•I—" *•>
S_ to0 Ol+-> o•r- 01-C S-
0>01 <*-S M-
ID
QJ
O)
O O D O OCM -* —• <M
I I (s/ui)o o o o oCS1 —i — " C M
I I
A.181
TABLE A.37. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 22.
I. Mean Airspeed (m/s)
R
102.5 101.6 103.4
n. Standard Deviation ofGust Velocities (m/s)
CTW
XL
2.48
aw.xc
2.34
aw.
XR
2.44
aw.
YL
3.87
(7WYC
4.00
<7W.
YR
4.06
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC
aw,
ZL
3.68
aw,zc
3.64
W,ZR
3.58
1. 11
1.08
1.33
1.24
1. 19
1.33
1.44
HCL XRC XRL
1.22
RL
1.47
IV. Integral Length Scale (m).
XL
151
1053
ZL
\XC
139
XL \
1048
\ZC
XR
149
1106
ZR
496 541 478
A.182
1.0 i i i i I I i i rW
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1.0
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.147. Probability density function for gust velocities and g-ustvelocity differences, Flight 6, Run 22.
A.183
1.
0.
-1.
WXR
Wxc
WXL
G
'oG<(-,<uo
CJ
flo5_«glu
ou
_ L
-1.0.
NYR
WYCi i i
>^_i i — — . .^j i
WYLi i i
-
WZC
WZL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
SOOO.
Figure A.148. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 22.
A.184
0)ouGo13cd
1OoIo
R'oQ-,
Io
1.
0.
-1 ^
,_ L
-i.0.
I _^ L. -t.
_ i I I _i I L_
J l_
I -_-l-
J. L.
WXRC=L
WXCL
NXRL
WYCL_j..——
NYRL
j i
WZRC
WZRL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
Figure A.149. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 22.
A.185
102
10-'r
b\«
108
10°
10-t
tI
10Z
10°
10-
von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
WY
von KarmanN= 512SEG.= 3
||4 ill inij t i i initl i i mill I I mini i t 11 mil i i i mill
von KarmanN= 512SEG.= 3
—von KarmajiN= 512SEG.= 3
von KarmanN= 512SEG.= 3
10-3 1Q0 10°
= «/V
Figure A.150. Normalized auto-spectra of gust velocities, Flight 6, Run 22.
A.186
108 r
b
fcT
^?
102
108
SEG.= 3
WXCL
N= 512SEG.= 3
WYCL
i 1 1 UK! i i i inrtl i i i mill
N= 512SEG.= 3
N= 512SEG.= 3
WXRC
N= 512SEG.= 3
•*»•
N= 512SEG.= 3
N= 512
WXRL
ml i i MI nil i i iiuitl i i i unil
N= 512SEG.= 3
WYRL
N= 5125EG.= 3
10-2 10° io-8 10°/c = w/V (m
10,-a 10°
Figure A.151. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 22.
A.187
~ i MM nil i 11 irml i 11 mill i intnJ
r —RL—-RC
—RR
' t tinitl i mail i niiirn_j iinml i nnuJ i IIHIII i nuiij i uimi i initiil i iiinnl > itninl i lima
10-z 10° 10~8 10°K = u/V (m"1)
10,-z 10°
Figure A.152. Two-point cross-spectra of gust velocities, Flight 6, Run 22.
A.188
TABLE A.38.
ORIGINAL PAGE ISOf POOR QUAUTf
List of All Parameters Measured and Their Range of Values,Flight 6, Run 22.
START TIME • 52990.3705 STOP TINE 53036,4455
CHANNEL2 PHI DOT3 ACCL N CG4 T H E T A DOT5 THETA6 PHI7 PSI 18 DEL PSI 1<> PSI 2
10 DEL PSI 211 A C C t N LT12 A C C l N RT13 A C C L X CG
..14 A C C t Y . C G . . .15 A L P H A CTR16 B E T A CTR17 TEMP I18 TEMP P19 A C C L z IN;20 ALPHA RT21 B E T A RT22 A L P H A LT23 B E T A LT24 PSI DOT
I_25..TEhP JO.T_26 OC IT27 OC CTR26 QC RT29 PS30 TEMP IRT31 D TO G32 B TO 033 LONG34 LAT35 TRK ANG36 HOG37 VE38 VN3<» ALT ITUDE40 TEHPC41 EW UNO SPD42 NS MNO SPO
^ 43 W I N D S P E E D~ 44 w l N O O I S E C
4 '. A l P ' P c k C t<•£- Mf SPUD C47 A I R S P E E D L4 9 D E L T A A L T
~ 49 INKTL DISP" 50 UG RIGHT
51 UG CENTER52 UG LEFT5 3 W G SIGHT54 VG CENTER55 VG LEFT56 WG RIGHT5 7 W G C E N T E R5 9 W G L E F T
UNIRAD/SECG UNITSC A D / S E CRADRAODEGREESDEGREESDEGREESD E G R E E SG UNITSG UNITSGUN ITSG UNITSR A ORADDEC FDEC FG UNITS.PADPADRADRADRAD/SECDEG CPSIDPSIDPSIDPSIADEG CMETERSDEGREESDEGREESDEGREESD E G R E E SRADIANSH / S E CM / S E CKMDEGREESKNOTSKNOTSK N O T SO F G P E E Sr / s t crmcH/SECMETERSMETERSM / S E CM/SECM/SECM/SECM/SECM/SECM/SECM / S E CM / S E C
TS HIGH.109
-.966.079.181.030
86.4935.490
444.5415.2552.2732.354
.262
.133
.076
.08298.26490.905
1.479.097.104.090.062.103
33.853.895.862.897
11.60429.328
8760971.251180.444
-104.78539.77483.270
1.517118.20621.070
1.986C 27.899
38.29327.2224C.6B4
291.604114.U9111.398113.96733.60031.3659.6486.5569.408
13.97215.67315.0418.5898.2929.036
LOW-.172-.986-.060
.030-.127
76.631-4.325
435.036-4.507
_ -.307-.216
.024-.091-.076-.137
_ 97.72490.725
.284-.073-.075-.077-.146-.066
30.21?.520.506.509
11.55017.050
S755879.87280.406
-104.84439.76879.896
1.34196.42011.670
1.94826.043
8.834-14.979
9.034209.430
86 .27486.07187.220-3.768-6.735-7.711-6.124-7.847-6.200-6.394-5.885
-10.433-11.363-11.200
J»i*N-.00283-.98774
.00350
.07443-.02673
93,814702.79380
441.918832.574471.003301.01659
.12149,01151
-.00758-.01872
98.0127590.73602
1.00042-.00064
.01575-.OOZ14-.02602
.00472__12.3855V
.72472
.71109
.7374711.5695924.7692*
***********80.42410-104.81595
39.7709781.92032
1.46647111.2499815.92429
1.9722427.2237919.5399714.6481925.63871
233 .76620103.4C042101.59011102.5349120.1652517.63709
,00000.00000.00000
-.12695-.11394-.10724
.14935
.16089
.13440
RMS.04419.98774.01700.08715.04460
81.83719.3.39169
441.922803.20726
. 1.049791,05486
.13763_.. .03303
,02569,03519
98,0128690,73603. 1.01116
,02859.03031.02770.03739.02565
32.40210.... .73174
.71788
.7449411.56960
.......25.03831..
***********80.42410104.61596
39.7709781.92492
1.46867111.4413716.12511
1.9722627.2264420.1012816.5657226.04773
2 3 4 . 3 9 9 5 8103.67006101.83991102.7901922.2255821.17311
2.298122.213422.357474.014263.945793.823573.365163.428573.45362
184318431843184318431843.16431643
. 18431843184318431843
_ 18431843
... 18431843184318431643
...18431643
... 1843164318431843184318431843
. 1843184316431843164316431843184318431643184318431843184318431 8 4 3164318431843184318431843184318431643184318431843
A.189
(Or- .eOJ 4->
{Si HJ0.
cO 4->•r- -C•M 0>O -r-QJ r—s_ u.
O O4J
-3C
I I
J L
OO I— OT> Q (j•— SO)
-- • 1/5' O
«*• i — CO•— •• CTi
^ CO
O) OJ (O4-> E S-•O ••- 3Q I— Q
0>
I
(6ap)
0 0 0o o o0 0 0cr> co r->.
oO
—i O
enat
o• (U
LT> -OO 3r— 4J
I "r^O>co
Lf>
o
enCO
cr>
00
(UIT)
Oooin
ORIGINAL PAGE BSPOOR QUALITY
s'- \\Wf • ,Ji X.iv/'k<</r; &}&' \':-•'"•>'F
AiW^AJtf^A
•A-:-
COCM
3o;
CD
oM-c:
COLT)
s_3O)
**
A.190
ooQJ>
inQJ
•r- COO CMO
r— CO) 3
I/) IO
(U•r- •>i- too <u-u oCO C
•r- (U^ i.
<uQJ <4-E 4-
QJ
3C7>
D O O O O(\J •-' —1 t\J
I I (s/ui)
A.191
TABLE A.39. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 23.
I. Mean Airspeed (m/s)
103.8 102.7 104.5
II. Standard Deviation ofGust Velocities (m/s)
(7WXL
2.41
wxc2.43
WXR
2.44
WYL
7.44
CTW.
YC
7.48
crWYR
7.45
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC XRL
a aWZL WZC
1.55 1.55 1.57
0.59 0.63
A\
0.58 0.58
0.75
cr.,.r afRC
0.64
IV. Integral Length Scale (m).
807
\799 776
ZCL
0.67
XRC XKL
0.69 0.753776 3736 3824
767 102 811
A.192
1.0 " 1 I I I | I I I I
w
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.155. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 23.
A.193
cSJ"o
coa
a
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure 'A.156. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 23.
A.194
WXRC
CJ._<o
(Uo
CO
"sj
IOoIo
g'oIo
Q. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
•5000.
Figure A.157. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 23.
A.195
10a r
10°
l(Tsr
102
10°
10'
102
10°
10-'r
von KarmanN=1021SEG.= 7
ml
von KarmanN=1024SEG.= 7
I I "III" I 11 ini—i i "mil
von KarmanN=1024SEG.= 7
i ii ""I—i 111 mil—i 11 mill—i i nun
von KarmanN=102<JSEG.= 7
"I i i ""ill i i """I—i i mm
von KarmanN=1024SEG.= 7
von KarmanN=1021SEG.= 7
' il 111 mil—i 1.1 mill
—von KarmanN=1024SEG.= 7
Wy
von KarmanN=1024SEG.= 7
10-» 10° io~8 10° io~8
K = <y/V (m-1)
10°
Figure A.158. Normalized auto-spectra of gust velocities, Flight 6, Run 23.
A.196
102 r
6" 10°\'!?
102
6"
^
108
tr 10°
•0.
N=1024SEG.= 7
WXCL
SEG.= 7
WYCL
SEG.= 7
N=1024SEG.= 7
WYRC
SEG. = -
SEG.= 7
SEG.= 7
WYRL
1Q-S 10° 1(T8 10°« = w/V (m
10-2 10°
Figure A.159. Normalized two-point auto-spectra of gust velocities,-|: Flight 6, Run 23.
A.197
w „ w.
- ml , ,,,«! ml I, I
RL
10-z 10° 1CT2 10°
K = w/V (
• ,1 ,.,,J imiml i
10~8 10°
Figure A.160. Two-point cross-spectra of gust velocities, Flight 6, Run 23.
A.198
PAOE OSOF POOR QUAWY
TABLE A.40. List of All Parameters Measured and Their Range of Values,Flight 6, Run 23.
START TIME • 53170.3109 5TOP_H»E - 53363.1609
CHANNEL2 PHI DOT3 ACCL N CG4 THETA DOT5 THETA6 PHI' 7 PSI 19 DEL PSI 19 PSI 2
' 10 DEL PSI 211 ACCL N LT1? ACCL N FT
" 13 ACCL X CGl<r ACCL Y CG15 ALPHA CTR16 BETA CTR17 TEMP I18 TEMP P
"19 ACCL Z INS20 ALPHA RT
"21 BETA RT22 ALPHA LT23 BETA LT24 PSI DOT25 TEMP TOT26 QC LT27 QC CTR28 OC RT29 PS30 TEHP IRT31 D TO G32 B TO 0
" 33 LOKG34 LAT
" 35 TRK ANG36 HOG
" 37 WE3* VN39 ALTITUDE40 TENPC
. 41 EM k»NO SPD4? MS WND SPO
_43 .« ISO SPEED44 WIND D.IREC
t" 45 A I R S P E f C R4* A I R S P E E D C47 AIRSPEED L48 DFLTA ALT4Q INRTL DISP
_?c gc RIGHT51 UG CENTER52 UG LEFT53 VG RIGHT5* VG CENTER55 VG LEFT
" 56 VG RIGHT57 KG CENTER58 WG LEFT
UNITSRAD/SECG UNITSRAO/SECRADRADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSCUNITSG UNITSRADRADCEG FDEC FG UNITSRAORAORADRAORAO/SECDEC CPSIOPSIDPSIDPSIADEC CMETERSDEGREESDEGREESDEGREESDEGREESRADIANSM/SECM/SECKKDEGREES CKNOTSKNOTSKNOTSDEGREESM/SfcCM/SECM/SFCHETERSMETERSM/SECM/SECM/SECM/SECM/SECM/SECM/SECM/SECM/SEC
HIGH.112
-.<J88.060.106.065
318.9644.462
318.5096.6082.3192.171.114.158.032.051
98.44491.2651.459.049.074.039.037.047
32.868
LOW-.125-.988-.044.028
-.151310.158-1.886312.172-2.037-.123-.332-.010-.154-.064
.. -.Ill97.90490.905.557
-.062-.059-.065-.117-.03529.619
MEAN-.00295-.98774.00600.06149
-.01872314.602061.06459
315.069112.155141.013131.02620.05927.00983
-.01289-.0180598.3329491.061431.00435-.00431.01661
-.00389-.02370.00334
30.99356
RHS.02595,98774.01173.06426.03662
314,60874.1.46634
315.070682.979091.031311.04389.06287.04515.01713.02416
98.3330391.061461.00887.01376.02212.01335.02792.01223
"31.00330.894 ,626 .74468 .74612.877 .629 .72894 .73036.914 .644 .75594 .75742
11.612 11.570 11.59178 11. 5917927.188 15.152 21.67480 21.89621
8761088.2948749959.437*****«**»*»+«*»****«**80.407
-104.80840.001321.9445.560
-61.95980.3721.97227.32226.69718.43534.?8«
359.997114.875112.541113.63019.29717.8296.9597.6797.03818.66219.66319.6685.9275.5176.139
80.278-104.96639.886309.8005.446
-74.54360.1491.94324.638-9.680
-34.265.228.007
96.59795.576
._.. 95.292-10.027-9.616-10.088-9.352-9.115-7.580-8.275-8.656-5.422-5.014-5.779
80.34369-104.8848839.94511313.326545.49857
-69,8485066.060231,95678
25.740402.66083
-15.2756021.C6640174,17824104,53087102.66868103.767563,920724.61329-.00000-.00000-.00000.00035•00068.OC261.00368.00663
, .00215
80.34370104.8848939.94513313.350625.4986069,9473066.388551.9567925.747128.4223319,711282 1 , 4 3 5 ? 5
235.12447104.58107102.73759J03. 81691
7.771758.461332.385052.372212.356467.217437.244097.199601.561471.527801.54623
POINTS7738773877387738773877387738773877387738773877387738
__7738773877387738773877387738773877387738,7738773877387738773877387736773877387738773877387738773877387738773877387738773877387738773877387736773877387736773877387738773877387738
A.199
ORIGINAL PAGE ISOF POOR QUALITY
LT>
<U>
I.
1 ! 1 1
.
: X0) 4-> _/"Qi (T3
O.CO -!->•r- il•»-> CTO -r-<U f—s_ u.
Q O| i
-oc3
- •. —
~I ! 1 1
j0
1
oLT>O
1
LT>
LO00 O
• r^ ^—Q ^ '
OJ — -oco I- cen a o• — S o
i — •• i —O 00
>, ID
a> a> ro-M E s_(O -r- 3O (— Q
+J(Oa.
I I
(6ap)
o o oo o oo o oo> oo r*.
•oo
O)•o
00
o So oo ovo f
CNJ
c:
CJ)
co
o<+-c
(OQ.
Ol
CT)
A. 200
Ct S LJM V M3 f 3
i t i i i
i . i
OLM
O>-
g x
1 ft , I
O O.O O CD(\| .-< T-. (\j
(s/ui) pa adg P^TM
2<
Soo
oCO
oCD
O
O<\J
OO
I
OCXI
Oo
9.
o o o o oCM -, —i CVJ
I I
uo
T3c(O
00
O CMo
'OJ 3> O£
S- 00O Ol4J O00 C
•.- O)-C S_
(U
A.201
TABLE A.41. Average Turbulence Parameters and Integral Length ScalesFlight 6, Run 24.
I. Mean Airspeed (m/s)
102.9 101.9 103.7
II. Standard Deviation ofGust Velocities (m/s)
WXL
1.19
WYL
0.80
aw.xc
1.16
WYC
0.78
WXR
1.21
CTWYR
0.74
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC XRL
CTWZL
1.07
wzc0.94
CTWZR
0.97
0.43
0.41
0.44
RC
RC
0.46
0.53
0.40 0.40 0.43
0.50
IV. Integral Length Scale (m).
XL805
1278
ZL
1469
Sr
840
XL Xc
1032
x^1256
821
1218
1108
A. 202
1.0
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
I i I i | i I l r
1-RC2-CL3-RL ~
A W
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.163. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 24.
A.203
G<u
QJOU
ao3.2"oJfcouIo
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
•5000.
Figure A.164. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 24.
A. 204
1ooo
RO
I
1000, 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.165. Two-point auto-correlation coefficient of gust ve]pp1t1psfFlight 6, Run 24. '"
A.205
102
10°
lO'1
10*
10°
io-
108
10°
io-!
von KarmanN= 512SEG.= 6
, ,,.,,j i 1.1.11,1 ,1
•von KarmanN= 512SEG.= 6
von KarmanN= 5125EG.= 6
von KarmanN= 512SEG.= 6
Wy
ilL.
—von KarmanN= 512SEG.= 6
'rc
—von KarmanN= 512SEG.= 6
•von KarmanN= 512SEG.= 6
—von KarmanN= 512SEG.= 6
—von KarmanN= 512SEG.= 6
10~8 10° 10° 10,-2 10°
K = u/V
Figure A.166. Normalized auto-spectra of gust velocities, Flight 6, Run 24.
A. 206
108
10-z
ioz
- 10°
•e-
10*
rt 10°
N= 512SEG.= 6
WXCL
*>*
N= 512SEG.= 6
r +** WYCL
N= 512SEG.= 6
N= 512SEG.= 6
XRC
N= 512SEG.= 6
N= 512SEG.= 6
*S
N= 512SEG.= 6
WXRL
N= 512SEG.= 6
WYRL
+4*
N= 512SEG.= 6
WZRL
1Q-8 10° 10~8
/c =10° 10'8 10°
Figure A.167. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 24.
A. 207
w w
10*
•e-
10~a
108
•e-
10*
W X W Y
10-z 10° icrz 10°/c = u/V (
10,-2 10°
Figure A.168. Two-point cross-spectra of gust velocities, Flight 6, Run 24.
A. 208
ORIGINS- PAGE ISOF POOR QUALITY
TABLE A.42. List of All Parameters Measured and Their Range of Values,Flight 6, Run 24.
START TIN! • 53490.2614 STOP TIHE • $3537,606*
234
~ 5_ 6
~e"9
-.10_.ll
U314151617181920212223
_24
~2627282930
_3132
.33
35363733
. 39404142
L '•I
~47484950
~51
~53545556
~5758
CHANNELPHI OQTACCL N CGTHETA DOTTHETAPHI
DEL PSI 1PSI 2DEL PSI Z....ACCL N LTACCL N RTACCL X CGACCL Y CGALPHA CTRBETA CTRTEPP ITEMP PACCL Z INSALPHA RTBETA RTALPHA LTBETA LTPSI DOTTFfP TOTOC LTOC CTROC RTPSTEMP IPT0 TO G8 TO DLONGLATTPK ANGHOGVEVNALTITUDETENPCEu WNO SPOMS WNO SPOWIND SPEEDyir.n OIR?CAISSPEEC R
TlRSPjEEO l_DFLTA ALTINRTL OISPUG RIGHTUG CENTERUG LEFTVG RIGHTVG CENTERVG LEFTWG RIGHTWG CENTERUG LEFT
._ UNITSRAD/SECG UNITSRAO/SECRAORAODEGREESDEGREESDEGREESDEGREES .G UNITSG UNITSGUN ITSG UNITSRADRAODEC FDEC FG UNITJ.RADRAORAD .RADRAO/SECOE6 CPSIOPSIOPSIOPSIAOEG CHETERSDEGREESDEGREESDEGREESDEGREESRADIANSM/SECM/SECKMDEGREES CKNOTSKNOTSKNOTSDEGREESM/5EC
M/SECHETERSMETERSH/SECM/SECH/SECM/SECM/SECM/SECM/SECH/SECH/SEC
HIGH.050-.986.039.086.045
136.509.053
495.940.. -.126
1.7391.643.098.173.023.018
98.44491*4441.222.042.059.051.017.031
31.293.818.802.830
11.61620.914
8760761.05680.391
-104.82039.987135.2902.37388.305-76.750
1.97025.81032.397
-12.51537.35P
311.633109. ?92107.457106.9386.2424.7932.7312.2612.4382.0412.5182.6182.8322.6923.459
LOW-.087-.988-.025.038
-.055131.226-2.656493.123_-5.389
.423
.515
.015-.133-.037-.05495.74691.065.750
-.019-.013-.026-.056-.01629.520
HEAN-.00318-.98774.00572.06000
-.01664_L33. 89999-1.42388494.50336-2.616261.011351.02330.05311,01089
-.01071-.0205598.0792691.26768
. . 1.00186.00505.01801
. .01110-.02454.00317
30.35857
RMS,01687,98774.00913.06166.02243
_1H,912221.59390
_494. 503673.345031.018921.03104.05519
_.- .04354__ ,01363
.0228198.0796391.267881.00357.01114.02008.01484.02625.00784
30.36105.620 ,73412 .73582.615 .71910 .72077.637 .74591 .74763
11.573 11.59746 11.5974616.632 19.64369 19.6655P
8754631.411**********************80.320 80.35594 80.35594
-104.906 -104.86368 104.8638939.923 39.95447 39.95448132.816 133.85318 133.855562.320 2.34565 2.3456981.507 85.50226 85.52?41-85.467 -82.10193 82.155841.940 1.95283 1.9528524.442 25.18711 25.1895220.651 27.57554 27.63905-22.771 -18.19812 18.3145226.3EO 33.CP414 33.1562P293.236 303.3C374 303.3983996.C86 103.71868 103.7774694.423 101.67765 101.9355794*766-23.889-24.781-3.189-3.434-4.214-3.318-3.282-3.194-3.359-3.135-4.147
__10e, 91350-11.06568-11.96518
.00000
.00000
.00000
.00196
.00098
.00445
.01311
.01606. .01627
_102.9716214.0052115.057851.173801.129401.16536.85846.89045.93718.98950.954681.06854
POINTS.34933493349334933493
. 349334933493
_ 3493349334933493
„ 34933493
......349334933493349334933493349334933493
_ 3493349334933493349334933493349334933493349334933493349334933493349334933493349334933493349334933493349334933493349334933493349334933493
A. 209
CM
<U>
to"OJ 4JO£ <O
CL.
O 4J•r- .C+J O)O 'I-
<U i—s_ u_O O
4J•a
1 t
I
O
00 I— EO> Q of— S CJ
v-^ <U~ t** V)
*&• COi— •• CO
co r>.>> LO
Q t— Q
(6ap)
oI
CT>
•o
^ <uO =?
O
LT>O
• I<T>CO
cu
un00
vo
en
(OQ.
cn
[Z
cn
QJ
3C7)
A.210
oo0)>
CO
CD
T3
(O
0)
•J3 ••i- LOo oooO) 3> O£
-)-> •>co vo
cn+->JC
O •!-
CO Ll_CD
1- coO OJ
•»-> Oco C
•r™ fl^JZ S_
(1)0) 4-
Ols_
o o o(s/ui)
o o o o oCM —" —< CM
I I
A.211
TABLE A.43. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 25.
I. Mean Airspeed (m/s)
104.2 103.0 104.8
II. Standard Deviation ofGust Velocities (m/s)
CT
WXL
3.49
<TW,xc
3.44
CTWXR
3.50
WYL
5.92
aw.
YC
6.00
aWYR
6.04
III. Standard Deviationof Gust VelocityDifferences (in/s)
HCL XRC XRL
CTWZL
2.43
<7W,zc
2.21
VWZR
2.26
0.97
0.94
1.05
0.91
0.95
1.18
XCL XRC XRL
1.02
1.06 . 1.19
IV. Integral Length Scale (m).
\c
YL YC
1004 1014 1055
2014 1940 2002
258 261 247
A.212
1.0
R
C
L
i \ r~] i i i rR N
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.171. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 25.
A.213
a.2'o
ouao3JS"vfco
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.172. Single-point auto-correlation coefficient of gust velocitiesFlight 6, Run 25.
A.214
c0>
Vo
BO
Oc_>Io
IO
E-
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.173. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 25.
A.215
b\s
102
10°
•von KarmanN= 512SEG.= 5
—von KarmanN= 512SEG.= 5
—von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
Wy
11,1 , , MM.ll
—von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
Wy
von KarmanN= 512SEG.= 5
•von KarmanN= 512SEG.= 5
10~8 10° 1Q-* 10°
K = a/V
10"3 10°
Figure A.174. Normalized auto-spectra of gust velocities, Flight 6, Run 25,
A.216
10s
rt 1°°
108
b""
\s10-
108
- 10°
N= 512SEG.= 5
WXCL
...... J
N= 512SEG.= 5
WYCL
+ N= 512SEG.= 5
N= 512SEG.= 5
WXRC
N= 512SEG.= 5
WYRC
N= 512SEG.= 5
ZRC
N= 512SEG.= 5
N= 512SEG.= 5
WYRL
,1
N= 512SEG.= 5
WZRL
10~8 10° ID"8 10°K = u/V (in'1)
1Q~ 10°
Figure A.175. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 25.
A.217
w x w z
10a
10~a
ITrr . •
—LL—-LC—LR
W X W Y
II mill ,,,,.,J .M,,J IMM.J
sT
?r
10
^ 10
—CL
—-CC
—CR
•e-
io-
>*.
•e«"
rr
10
10 rf9-r
LL
—-LCLR
w y w z
IT /--
-LL
-LC
i iiirnil i I Mini! i i iitml
—CL
™CC
CR ^
—RL
—-RC
llllmJ ....... 1 1 ...... J ...,.,1
10-8 10° 10° 10~8 10°K = <y/V
Figure A.176. Two-point cross-spectra of gust velocities, Flight 6, Run 25,
A.218
TABLE A.44.
ORIGINAL PAGE USOF POOR QUALTnr
List of All Parameters Measured and Their Range of Values,Flight 6, Run 25.
START TIME •. 53557.496* STOP TINE • 3 36.30 .1216
CHANNEL. UNIT2 PHI DOT RAO/SEC3 ACCL N CG C UNITS4 THFTA DOT5 THETA6 PHI7 PSI 18 DEL PSI I9 PSI 210 OEt PSI 211 ACCL H IT12 ACCL N RT
Il3 ACCL. X CG!<• ACCL Y CG15 ALPHA CTR16 BETA CTR17 TE*P I14 TEPP P19 _ACCL I INS20 ALPHA RT21 BETA RT2Z ALPHA LT23 BETA LT24 PSI DOT25 TEMP TCT26 OC LT27 CC CTR23 OC RT29 PS30 TEMP IRT31 0 TO G32 B TO 0"33 LONG34 LAT35 TPK ANG36 HOG37 Vf39 VN39 ALTITUDE«0 TEMPC<•! f * UNO SPO*? NS yNO SPO43 NINO SPEED44 WIND OIPEC<.5 AIPSPEEO R
' 46 AlfiSPFFO C47 AIRSPEED L40 DELTA ALT49 INRTl DISP50 UG RIGHT51 UG CENTER52 UG LEFT53 VG RIGHT54 VG CENTER55 VG LEFT56 UG RIGHT57 KG CENTER53 VG LEFT
RAD/SECRADRAODEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSPADRADDEC FDEC FG UNIIS_RADRADRAORADPAD/SECDEC CPSIOPSIOPSIOPSIAOEG CMETERSDEGREESDEGREESDECREESDEGREESRADIANSP/SECM/SECKMDEGREESKNOTSKNOTSKNOTSDEGREESM/SECM/SECM/SECMETERSMETERSM/SECM/SECM/SECM/SECH/SECM/SECM/SECM/SECM/SEC
S HIGH LOW.109
-.988,070.090.038
1*9.1906.431
507.9096.1962.7362. 265.145.151
. .079.060
98.44491.4441.795.082.121.113.054.066
33.065.845.825
-.135-.988-.064.018
-.125140.736-1.680500.164-1.919-.083.018
-.007-.136-.065-.14295.92991.265.608
-.056-.102-.049-.130-.06829.914.565.543
MEAN-.00375-.98774,00603.05098
-.03005:i44.6234L
2.11333503.733751,88821
.. 1,012021.02362.05526..00408
_. -.01377-.0334498.2110691.374981.00183.-.00168.00425.00186
-.03708.00290
31.86240.74907.73174
RMS PQ.03066.98774
__ ,01634.... .05322
.04408144.633362.69405
503.736392.52022_1.047041,05658.05987.04809
._; ,02197___.04455
98.2114491.375021.01066.01963.02675.01953.04583.02161
3i. 87291.75134
. .73395.853 .570 .75797 .76026
11.633 11.580 11.59788 11.5978924.408 20.320 22.07959 22.10369
8766774.6438762053.901**********************80.463 80.406 80.43367 80.43367
-104.734 -104.802 -104.76930 104.7693039.909 39.853 39.6P029 39.68029141.867 132.540 136.54180 136.581332.593 2.449 2.51593 2.5161186.019 69.613 79.65717 80.06585-77.655 -89.946 -84.04857 84.12690
1.965 1.926 1.95254 1.95256C 27.568 25.295 26.57718 26.58160
53.936 17.553 43.46234 44.0414216.612 -30.114 2.55542 11.5406455.718 20.662 ~45.1C352 45.52837
314.974 250. 5b3 268.41385 268.90716111.144 91.116 104.75630 104.84020109.349 89.006 102.97022 103.05066
. 110.65210.0916.26110.94311.10710.490
..: 17.58116.35216.0686.9506.1777.278
90,769-26.596-25.908-5.952-5.538-6.930-8.071-7.992-7.615-9.461
_ -9.422-9.867
104,15521-2.40713-2.60415
* 00000..00000.00000.02554.03411.03025
-.06281-.05586-.06514
104,237059.5518410.058223.550113.497113.561215.816795.741695.710472.168092.124562.31192
IM1S_292429292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929?92929292929
A.219
0)>
OC 10a,
co •«-»•M 0»O ••-V r—s_ u.•r-O O
-M-3
o«*•
00 I— cO> Q o'— s: o•—' o' tn 10*a- m
'" •* vo>» LD
d> O> (O•M S 1-<d ••- aQ I— Q
o>
ooo
oooGO
1 1
(6ap)
ooor^
s
1 Mh
-( o»•o
. o»O 3
I -f
c.o
t-3O••->
Oo
oooVO
_ inif)t—
ro
oo
QJun
ooom
CM
C
01
co
oM-c
(OQ.
/<C
S-
A. 220
o<uw
Vg
ooCU
en-oc
cu
O CMO
'CU 3
vo
4- onO •--
cu•r— •*S- inO CU4-» OV> C
•r- CU-C i.CU 4-
00
cu
01
(s/ui) paadg
A.221
TABLE A.45. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 26.
I. Mean Airspeed (m/s)
R
107.3 106.2 108.0
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC XRL
Standard Deviation ofGust Velocities (m/s)
aWXL
2.56
aWYL
5.06
aWZL
2.00
awxc2.53
aWYC
5.14
crwzc1.89
CTWXR
2.56
aWYR
5.11
aWZR
2. 10
0.88 0.96 1.21 IV. Integral Length Scale (m).
XCL HRC XRL
0.87 0.92 0.92709 769 753
CL
0.95 1.00
ZRL
1.051706 1699 1734
343 304 291
A. 222
\ I 1 I 1 * 1 I 1 I
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.179. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 26.
A.223
Ouao
S-,OU
IO
1.
0.
-1. Lr
WXR
I I T =d
< L
0.
-1.0.
WZL
1000. 2000. 3000.
Spatial Lag ,S=V"''m)
1000.
Figure A.180. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 26.
A.224
1. WXRC_ L
WXCL
WXRL
a.2oCDOO
ao•3a
1oi
3-
oCU
o
-1.0. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
WYCL1
NYRL
i i
WZRC
=j~-=
WZCL_i_ ^^-—i
WZR.L
"5000.
Figure A.181. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 26.
A. 225
b
i?
108
10°
lo-t
r
von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
I . III..J i iiiuill I i. I
von Karm&nN= 512SEG.= 5
,i,l i iiimil i i i mi
von KarmanN= 512SEG.= 5
Wv
•von KarmanN= 5125EG.= 5
N,r
, 11,,m| | i i i nnil
von KarmanN= 512SEG.= 5
'XR
von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
!ZR
10,-8 10° ID'8
K = U/V
10° 10- 10°
Figure A.182. Normalized auto-spectra of gust velocities, Flight 6, Run 26,
A. 226
10Z
6"6"
10-8 r
102
io-z
10"
r' N= 512f „ SEG.= 5
r * * WXCL:r *•*
* , ,,,„„) i i i , ill i II mil
N= 512f SEG.= 5
r + + WYCL
r \
• , , ,,,,,J , IIMlJ 1 I ,11,1,1
|
''r- + N= 512
f SEG.= 5
i- **+ uir ^ WZCL: *i-f<p-«-
r **»r Afct: ^fc
r ir
i I riuiJ i iiiinJ i i i n t)[| i i iiitii
r
N= 5121 SEG.= 5
I * \++ W*RC
r +^*
- ' \r %
r
" , ,,,,,i,l , iiiiml i minil i ,,,„„
N= 512f SEG.= 5
f * WYRCB~ "*"
[ ^r + N=G512s
r + \ + WZRCr *^
f ^r
1 III, MM 1 IIIIIIH 1 IIIMIll 1 IMIII
r
N= 5121 SEG.= 5
: ***•
r \r
" 1 ,,l I I
N= 512[ + SEG.= 5
f . * WYRL
; \—" , ,,,,,,,1 1 1 , ,,,„„!
f *' SEG.= 5
r +X WZRL
\
+i
r
i i i mill i t i mill i i i MUM i i i mm
10~8 10° 10~8 10° 10~8 10°ic =
'Figure A.183. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 26.
A.227
W Y W Z
10
•6-
-
10*
10°
ic 2
10~2 10°* = u/V (m'1)
10,-e 10°
Figure A.184. Two-point cross-spectra of gust velocities, Flight 6, Run 26,
A. 228
ORIGINAL PAGE mOF POOR QUALITY
TABLE A.46. List of All Parameters Measured and Their Range of Values,Flight 6, Run 26.
START TINE • 53675.4568
CHANNEL UNITS HIGH2 PHI OdT3 ACCL N CG
~ 4 THETA DOT5 THETA6 PHI7 PSI 18 DEL PSI 1
" "9 PSI 210 DEL PSI 211 ACCL N IT12 ACCL N RT13 ACCl X CG14 ACCL Y CG15 ALPHA CTR16 BETA CTR17 TEKP I18 TEKP P19 ACCL Z INS20 ALPHA RT~21 BETA RT22 ALPHA LT23 BETA LT24 PSI DOT25 TEfP TOT26 OC LT27 OC CTR26 OC RT29 PS30 TEHP IRT31 0 TO G~3? B TO 033 LONG34 LAT35 TRK AN€36 HOG37 VE38 VN39 ALTITUDE40 TEMPC41 EU UNO SPO42 NS UNO SPO43 WIND SPEED
"*4 WIND 01PEC<.5 AIRSPEED R«••> AltSPCtD C
" 47 AIRSPEED L48 DELTA ALT49 INPTL OISP50 UG RIGHT51 UG CENTER52 UG LEFT53 VG RIGHT54 VG CENTER55 VG LEFT96 tfG RIGHT57 UG CENTER5* UG LEFT
RAD/SECG UNITSRAD/SECRADRADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSRADRAODEC FDEG FG UNITSRADRADRADRADRAD/SECDEC CPSIOPSIOPSIDPSIADEG CMETERSDEGREESDECREESDEGREESDEGREESRADIANSM/SECM/SECKMDEGREES CKNOTSKNOTSKNOTSDECREESP/SECM/SECM/SECMETERSMETERSH/SECH/SECH/SECM/SECM/SECH/SECH/SECM/SECM/SEC
.109-.988.060.074.032
313.3263.345
314.9953.0212.2752.206.110.177.067.037
96.08491.6211.657.055.064.086
_ .021.074
33.065.905
STOP
LOU-.107-.986-.053-.019-.109
305.579-4.149307.947-4.330-.026.175
-.011-.146-.078-.12993.22791.265.470
-.063-.080-.061-.129-.04530.505.663
.TIME • 53743.5568
MEAN RMS PO-.00341-.98774.00658.04090
-.02083309.16925-.76181
?11.09599-1.009041.013831.02757.03383.00589
. ...-.0192Q-.0264996.9972391.443581.00402
_ -.01241.00678
. -.01094-.03321.00503
32.15773.79432
•02931.96774.01497.04456.03556
309.193921.85405
311.100361.948791.045061.05803.03663.04839.02396,03657
96.9999491.443581.01315.02028.02166.01662.03928.01958
32.16451.79513
.888 .658 .77808 .77880
.920 .655 .80567 .8063911.611 11.535 11.56983 11.5698424.408 21.904 23.30971 23.31669
8765643.2268762044.147**********************~ "80.455 80.411 "80.43301" 60.43301
-104.746 -104.799 -104.77254 104.7725439.894 39.849 39.87229 39.87229316.987 313.660 317.70011 317.703105.499 5.366 5.42571 5.42580
-64.173 -67.527 -65.61357 65.6195376.0071.99627.34538.72221.50539.896351.395115.055113.053114.1134.2960.0006.7055.6415.8769.4016.9718.9978.2189.0479.596
63.7611.94325.2401.606
-26.74510.744
232.22297.50397.75496.048-48.594-47.135-7.318
~-7. 190-6.925-15.906-15.141-15.200-7.543-6.364-6.127
72.164541.9581426.5425624.60439.98975
-27.17396270.S2836108.01910106.1*533107.26962-33.88065-34.82629-.00000-.00000-.00000.01078.01064.01027-.02672-.02384
• -.02578
72.264901.9581626.5494625.4109310.7166927.57916272.21699108. 042031061. 21847107,2957935.2574236.151332.670942.634262.684575.869645.891645.828792.059041.851121. 95965
LSU-272427242724272427242724272427242724272427242724272427242724272427242724272427242724272427242724272427242724272427242724272427242724272427242724272427242724272427242724272427242724272427242724272427242724272427242724272427242724
A.229
"oj -wo£ <o
0.Co •«->••- -C+•» 0>O H-<U i—i. u.o o
I I
J I I I
or«~I
0)TJ
• a»j- -o
O 3
LOO
« Lf)^ CM «d-r— •• O
UD i—>»tnrO i—
a> ai to•M s £<O T- 3Q t— Q
10a.
C7>
OoI
t.0)
OOOa>
ooo00
ooo
oooVO
r^• i
co
CO
CO(U
LO
CO
oooLf>
7 f ,....>..// - - • ' • ' __~-
a:
CT)
o4Jto
O
c
fOa.
en
LT)00
ai5-
cn
A. 230
o(M
OO
tvl3
&OCO
OCO
Oo
</>3O)
T3
<O
OJ
•r- r--o ooo
r— CO) 3> on
CO CO
<+- cno ••-l/l LJ_OJ
•p— ft
S- COO O)+J (Jco c:
•r- QJ
0)<U C|_E M-
OO
O)S-3Ol
O O O O O(M r-l ^ (SJ
I I (s/ui)O O O O OCSI —i —i CM
I I
A.231
TABLE A.47. Average Turbulence Parameters and Integral Length ScalesFlight 6, Run 27.
I. Mean Airspeed (m/s)
R
105.0 104.0 105.9
Standard Deviation ofGust Velocities (m/s)
W.XL
5.06
(7W.xc
4.94
(7W.
XR
4.96
aw.
YL
<7W,
YC
aw.
YR
312.16 309.15 314.62
III. Standard Deviationof Gust VelocityDifferences (m/s)
""in0.47 0.51 0.64
w,ZL
0.82
W,ZC
0.83
W,ZR
0.83
IV. Integral Length Scale (m).
XCL HRC
5.66
0.46
3.37
0.51
3.10
XRC XRL
0.53
XL
1913
222
XC
1891
Y
220
XR
1914
224
7T 7f* "7T?
303 1060 443
A.232
1.0 i i i i | i i i rW
5. -5. 5. -5.
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.187. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 27.
A.233
c.•d<J
<Uo
ao
ou
0. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.188. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 27.
A. 234
WXRC
a.80
Vooao
bouIo
B'8
I
0. 1000. ZOOO. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.189. Two-point auto-correlation coefficient of gust velocitiesFlight 6, Run 27.
A.235
•von KannanN= 512SEG.= 8
von KarmanN= 512SEG.= 8
von KarmanN= 512SEG.= 8
von KarmanN= 512SEG.= 8
—von KarmanN= 512SEG.= 8
hrc
von KarmanN= 512SEG.= 8
W,
,,||| I ,,,.||||
von KarmanN= 512SEG.= 8
von KarmanN= 512SEG.= 8
W,
von KarmanN= 512SEG.= B
i i i mill . iiiiiiil ,1
10,-a 10° 10~8 10°
K = u/V (m
10~ 10°
Figure A.190. Normalized auto-spectra of gust velocities, Flight 6, Run 27
A.236
IO8 r
b~^b~ 10°
10-8
IO8
r 10°
* io-8
108
6"b~ 10°
•&• 1Q-a
N= 512SEG.= 8
WXCL
N= 512SEG.= 8
•
N= 512SEG.= 8
WZCL
N= 512SEG.= 8
WXRC
N= 512SEG.= 8
N= 512SEG.= 8
N= 512SEG.= 8
WXRL
N= 512SEG.= 8
+*
N= 512SEG.= 8
+ .-H-
s,il i imiiil I .,.,.1,1 . ,,,„„• , iii,ml ml I i ii,i,nl
10~8 10° 0~8 10°K = cj/V (m'1)
io~810°
Figure A.191. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 27.
A.237
102
•6-
io-a
108
— 10°
io-2
10*
10°
1(T8
10-2 10° KT8 10°K = u/V (m"1)
10" 10°
Figure A.192. Two-point cross-spectra of gust velocities, Flight 6, Run 27
A.238
TABLE A.48. List of All Parameters Measured and Their Range of Values,Flight 6, Run 27.
START TINE -. 53789.3720 STOP TINE • 53869,6*70
234567
~ B"9
101113.1 3.1*151617161920?122232*25 .262728293031.32333*.3b2637•>f>3<J-.0t, i
<.?<•!•;<.«.5464,74349505152535455565756
CHANNELPHI DOTA C C L N CGTHETA DOTT H E T APHIPSI 1DEL PSI 1PSI 2DEL PSI 2~.ACCL N LTA C C L N RTACU X _CGACCL r CGALPHA CTRB E T A C T RTEMP ITEMP PACCL Z INSA L P H A RTB E T A RTA L P H A LTB E T A LTPSI DOTTEMP TOTOC LTQ C C T ROC RTPSTEMP IRT0 TO 66 TO DLONGL A TTRK ANGHOCV FVNALTITUDET E K P CEtf WHO SPDKS WHO SPOt a l r .O SPEEDW I N D OI»cCA I P S P E F O RA f l iSPEEO CAIRSPEED LDELTA AITINRTL DISPUG RIGHTUG C E N T E RUG LEFTVG RIGHTV G CENTERVG LEFTUG RIGHTUG CENTERW G LEFT
UNITSR A D / S E CG UNITSRAD/SECPADRADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSRAOPADDEC FDEC fG UNITS_PADPADRADRADRAO/SECDEG CPSIDPSIDPSIOPSIADEG CMETEPSDEGREESDEGREESD E G R E E SD E G R E E SPADI4*tSr / s f cM / S E CKMD E G R E E S CKNOTSK N O T SK N O T ST f c G B E E SM / S E Cf /SECM/SECMETERSMETERSM/SECM / S E CM / S E CM/SECM / S E CM/SECM / S E CM/SECM/SEC
HIGH.066
-.968.0*3.103.055
359.1181.875
359.69814.988
1.6851.565.110.193.020.025
98.44491.797
1.316.041.052.047.013.027
31.687.669.846
LOW-.080-.986-.025
.006-.063-.155
_ -1.709396.176
-.713.322.531.009
-.129-.041-.040
90.70991.444
.763-.035-.002-.034-.045-.023
29.619.624.625
.885 .66011.606 11.57021.314 16.632
fl7$*770. 27887.61829. 56860.399 80.391
-104.793 -104.80840.015 39.9P5
8.651 5.6856.283 .000
. 15.055. . . 8.97799.634
1.97225.73128.263-6.38531.009
321.603112.886110.451111.88915.35213.410
9.50210.04311.1*3
2*7.305242.0172*5.086
3.2312.294*.019
89.9851.945
24.95814.619
-22.96518.737
286.10497.82595.24995.175
-11.584-11.127-8.811-8.337-8.695
-*60.057-452.4*3-*56.2*5
-2.923-2.858-3.056
MEAN RMS-.00303 .01863-.9877* .9877*.005*0 .01003.05186 .0545*
-.01397 .02618iiO. 30769 198.56757
.11985 .73436357.677*5
4.628591.008691.022*6
.05993
.01414.-.01807-.01112
95.5214691.56511
1,00078..-.00807
.02290• -.00684
-.01612.00354
J.Q.6627Q..76529.75061.77867
11.5936B20.34004
*J***********80.39505-104.80091
39.969177.285352.21048
12*34130.96.34134
1.955462 5 . 2 8 6 3 020.70162
-14.95049"25 .72530305.63957105.93768104.0530?105.03829-1.36348-1.63479
-tOOOOO.-.00000-.ocooo2.392282.236212.09729
.00925_
.01366
.00784
357.8781*
.PUIMIi.*171*171*171*171
. _ . . *m4171*171*171
6.3207* *1711.01793 *171
_ 1.03037 *171.06357 *171.04673 4171.02037.01561
95.5339691.56515
1,00 309.01338.02507
. .01311.01900.00903
_JLD_. 68651,76767.75286
41714171417141714171*17l*171
... *171*171*171*171
.._ *1714171
.78096 417111.59368 417120.34497 4171
<»*»**»**** *17l80,39505 4171
104.60091 417139.96918 4171
7.33214 41713.71756 4171
. 1 2 . 4 5 0 9 3 417196.384s2
1.9554725 .2866620.6093*15.292642 5 . 8 2 4 2 6
305.71820106.01335104.1289?105,11803
. ...7.1*9117.8616*4.956*34.934195.05634
315,03190309.54880312.55804
.83293
.82569
.81866
41714171'.171*171*171
. *17J417141714171
_ U71*171*171*171*171*171
.... *1714171*171417141714171
A. 239
01>4J
a: <oQ-
O 4->•r- .C4-> C7>O -r-O» •—S- LU•^
O O
oI
OlO)•p
CM
s-sO 3
ino
(6ap)
Q OS O
-
•— •• oi— VO
>>0
3 IT) ..•-3 •— C
O•^
•• •• -4J<U OJ ro** S J_tO ••- 3Q I— Q
Lf)
cr>co
I/I<u
coCM
ID
cn
co
O14-c
Q.
-MJ^CO
rocn
(Us-
A. 240
or(vl
^
(_jM
^.
Jffcj
%
.
•
1
i t t
(£
r*j
< Ji
1^
'i , ,
J
Orvt3
i
•:
erf
r*j3
~i
_
t
0CSI
do
d00
m
o :-,CO ^_>
•i—u
o o** '&d(\J 4J
3
i i i i i i i i i i O <~rl
>— 1 >~
3
\ ^f
IfI
*I
I
i i i
C*r
X3
\
\
_l
3 \
Q£^-3<•!
t
rIi
Ii
11
, , 1 , ,1 1 1 1 1
i i
(_)X
J ^
j
<
|X3 L
!
i i
,
rX3
f
1 1
)
U^
? |
, ,
— iOL>-
3
.
, ,1 1
1 1
(_J
X
J <'
-|
-
r'-
^^
(\1 "3
I/)
o «»O '_£
"" ---00• '7^ o <NJ
o 0 o00 QJ , — g;
W O) 3• v~ ' > Di
0ID D -4-> "
C t/1 l
° E-1 ^^M- enO •!-
O r—(NJ 00 U_
O)
' ° 0 Vi \ r \
~T~ \^
_ o" <" =
O;X
J <1
;
-4
1 1 t 1 J i l l ' )
.
-
.
1
M - i-0».-< ^ f~
d g £o _£ **-" H- -5dCO
^>cr>to """I
d.^ OJ
d co(SJ T_
1 1
Oi i i I t i i i i i
O O O O OO O O O O (M -^ — « f\JCM i-H r-l CM . , . j. II
A.241
TABLE A.49. Average Turbulence Parameters and Integral Length ScalesFlight 5, Ri)n 20. •
I. Mean Airspeed (m/s)
R
106.2 105.1 106.9
III. Standard Deviationof Gust VelocityDifferences (m/s)
0.43 0.44
HCL XRC
0.39 0.35 Q,38
0.42 0.43 0,49
II. Standard Deviation ofGust Velocities (m/s)
<7WXL
0.70
aWYL
0.79
aWZL
0.68
V. Integral
awxc
0,65
WYC
0.82
awzc
0,71
Length
aWXR
0.72
WYR
0.80
awWZR
Q.72
Scale (m)
^TIT ^fttT iW•VI VP Y"DAJj Avx ' AJv
415 402
869
"rZL
853
847
zcW"^ !• '
858
642
862
A. 242
1.0
0.8
0.6iscd,02 0.4
Pu
0.2
0.0
C = Cente/ Wk* Left x
Tl 1 II I I I \ I T
-5. 0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
i i i \ I i I i1-RC2-CL3-RL
A W
5. -5. 5. -5.
Normalized. Velocity Differences (Standard Deviations)
Figure A.195. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 28.
A.243
c.p<J
ouao
<us*boy
1.
0.
-1.
-1.0.
WXR
Wxc
NXLj i i
WYC
WYL
WZR. i 1 "•"• .1 i i ' i —i 1
Wzc
NZL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.196. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 28.
A. 244
1.
0.
WXRC
WXCL
c.2o• l-tHH**-!0]
eo
Io-tJ
R.(-iO
(X
oE-
_ I l_
_ L
_ L
-1.0.
^ I ' - L.
I _L
i i
WXRL
WYRC
I 1 L
I i
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
_i I
WYRL
WZRC_j i
WZCL
WZRL
Fiaure A 197. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 28.
A.245
b
1?
102
1Qo
1Q-
102
10°
von KarmanN= 512SEG.= 4
.mil J I
—von KarmanN= 512SEG.= 4
—von KarmanN= 512SEG.= 4
l l l l j t I I unit I I I lUl l l
von KarmanN= 512SEG.= 4
Wy
nil i I 11 mil I i I mill I I I inn
—von KarmanN= 512SEG.= 4
—von KarmanN= 512SEG.= 4
Wzc
von KarmanN= 512SEG.= 4
Wv
von KarmanN= 512SEG.= 4
—von KarmanN= 512SEG.= 4
10-8 10° 1(T8 10°
« = u/V (m-1)
10~2 10°
Figure A.198. Normalized auto-spectra of gust velocities, Flight 6, Run 28.
A. 246
108
6b"
108
N= 512SEG.= 4
WXCL
N= 512SEG.= 4
N= 512SEG.= 4
F + V WZCL
N= 512+ SEG.= 4
•fWXRC
N= 512SEG.= 4
WYRC
N= 5125EG.= 4
*V
N= 512SEG.= 4
WXRL
N= 512SEG.= 4
N= 512SEG.= 4
10-8 10° 10~8 10°K = w/V (m
10- 10°
Figure A.199. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 28.
A.247
108
10-2
102
10°
lo-2
I-
rr
rz
r
r-
L
r — -Cr
f
r
r
r
r:
r ~~c
r •— »
r -\\r x^<?\r \\JP
T ^r~ i i niiJ i i iirnJ i |iiinil i i niiiil
rr
10°
io~8
—RL—-RC—RR
11 in J iiimj ii.innl iiiimil
io-z 10°
rr
rr
—LL
—- LC—LR
sT
—-CC—CR
J ,,,„„! ....... J , ,i,n,J
—RL—-RC
—RR
rr ~~\
rr
10'2 10°K = u/V (
10,-B 10°
Figure A.200. Two-point cross-spectra of gust velocities, Flight 6, Run 28.
A. 248
TABLE A.50. List of All Parameters Measured and Their Range of Values,Flight 6, Run 28.
START TIME • 5*081.562* STOP TINE • 54141.937*
23
~ 6789
10111213i*1516171819202122232*
2627282930313233
353637
CHANNELPHI DOTACCL N CGTHETA DOTTHFTAPHIPSI 1DEL PSI 1PSI 2DEL PSI 2ACCL N LTACCL N RTACCL X CGACCL Y CGALPHA CTRBETA CTRTEMP ITEMP PACCL Z INSALPHA RTBETA RTALPHA LTBETA LTPSI DOTTEMP TOTOC LTOC CTROC RTPSTEMP IRTD TO GB TO DLONGLATTRK ANGHDGVE
38 VN39 ALTITUDE*C TEMPC*1 EU UNO SPD*? NS VNO SPD<.3 UINC SPEED** hi NO OIREC^5 UfSPEtC B
*7 AIRSPEED L40 DELTA ALT*9 INRTL DISP50 UG RIGHT5152535*55565758
UG CENTERUG LEFTVG RIGHTVG CENTERVG LEFTUG RIGHTUG CENTERUG LEFT
UNITSRAD/SECG UNITSRAD/SECRADRADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSRADRAODEG FCEG FG UNITSRADRADPADRADRAD/SECDEG CPSIOPSIOPSIOPSIADEG CMETERSDEGREESDEGREESDEGREESDEGREESRADIANSM/SECM/SECKMDEGREES CKNOTSKNOTSKNOTSCEGFfESf /SICM/SKM/SECMETERSMETERSM/SECM/SFCM/SECH/SECM/SECM/SECM/SECM/SECM/SEC
HIGH.036
-.182• 0**.068.08*
161.5185.*90
487.491.9031.5141.488.42?.760.203.187
98.***91.80*1.213.198.053.200.162.912
35.03*.820
LOU-.056-.988-.449-.018-.06679.494-4.656406.168-6.571.438
-1.332.021
-.136-.079-.073.407
-18.414-.243-.072-.016-.076-.059-.23429.601.727
MEAN-.00467-.98741-.01228.03563.00062
128.54818..15133
475.49316-.646751.008941.04047.09365.11051.00999.00902
97.4310183.85549.99137.01913.01294
. .02354-.00817.12503
31.40757.77946
RMS.01391.9875*.0*879
" .0*020.0356*
129.162122.16766
476.16863.982651.015551.04906.15983.28255.07688.07161
97.4785086.23968,99321.073*7.01769.07382.0*156.33226
_JljMO*3..77965
.799 .709 .76369 .76388
.831 .726 .79123 .791*311.615 11.583 11.59626 11.9962720.119 -159.660 11.55175 21.00909
8770481.0118764833.677**********************80.459
-104.71139.990125.0602.213
108.840-71.679
1.96329.60551.395
-14.18572.4083*6.253109. *03107.332108.7055.74615.5635.0563.4117.9563.05926.33020.42923.40421.76121.734
60.400-104.78739.950
. 123.8432.156
106.061-74.671
1.94024.26517.204
-70.334**. 956285. *29102.502101.281102.56*-16.7*6-17.235
-2.084-3.657-2.992-8.723-5.038-9.967-13.532-9.824
60.42964-104.7489839.96989124.431352.16268
107.27685-73.47960
1.9536625.9086740.18662-28.37259-51.90798303.*1662106.9*3531C5. 10826106.16297-3.50797-.47227,00000.00000.00000.2*306.23813.22*12.00539
-.26181, -.1597*
80.4296*10*. 7*89639.96989124. 431862.18271
107.2799673.485751.9536725.9*98*41. 1591932.5D36752.**585303.87318lOt. 9*88410*. 11 319106.167996.6772010.287633.00323.607063.11029.98604
9.921284.371358.519017.969037.92025
POINTS2415241524152415241524152*152*152*15
. 2*152*152*15.2*152*152*152*152*152*152*152*152*152*15
... 2*15
2*152*152*152*152*152*152*152*152*152*152*152*152*152*152*152*152*152*152*152*152*152*152*152*152415_241524152415241524152415
._. 24152415
A.249
CO
SI•r--M10i— .c0) -Ma: <a
Q_£2O -M•i- .C4J 0>O •!-CU r—S_ U-•^
0 04->
T3
'5
1 ( 1 1
F ""~
— -
^ .
-* —
™* ' ~
1 1 1 1
•a-o
^
o>U•o
00• (11* ^^^- -rj
O 3i— 4->
1 'I—
CT»CO
CO
LDo
C3 VT>r—«d- • 1
(T\vj tCO
(6ap)
(J0)
in
tt» CJ (O-M S £<O -I- 3Q I— O
OOO
oo
ooo
00
01
£
co
OOOin
enCMcuo;
01
(OQ.
OCM
QJ
C71
IM&.iaH
A. 250
ooai
ns
toai
•t- eno coo
r— C<U 3> a:
CT>-t->
<+- o>O •!-
i- 01O D
a>
CMO
O)s_
a;
o o o o ocvj -, - ex.
(S/TII) pS9dg
o a o o oCM T-I —i tM
I I
A.251
TABLE A.52. Average Turbulence Parameters and Integral Length ScalesFlight 6, Run 29.
I. Mean Airspeed (m/s)
106.1 104.9 106.7
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC
Standard Deviation ofGust Velocities (m/s)
<7WXL
3.92
aWYL
2.21
aWZL
2.42
awxc
3.82
aWYC
2.18
awzc2.22
CT
3.84
aWYR
2.10
aWZR
2.38
1.01
1.10
i.oa
XCL HRC
1.09
1.34
1.08
IV. Integral Length Scale (m).
592
\
599 592
1.17
"ZRC A¥ZRL
1.22 1.30604 553 634
385 387 379
A.252
1.0 n I i i i i rN
0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.203. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 29.
A.253
c.r-l
<J
OCJ
do3_a"3
ouIo
1000. 2000. . 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.204. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 29.
A.254
ti"o
0)o
co
ooIo
c•s(XIo
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
-5000.
Figure A.205. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 29.
A.255
b
I
108
10°
io-'
10"b
1?
10'
108
10°
10-i
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
•von KarmanN= 512SEG.= 6
•von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
—von KarmanN= 512SEG.= 6
—von KarmanN= 512SEG.= 6
\
von KarmanN= 512SEG.= 6
10-a 10° 1Q-2 10°
K = <u/V (m
10-z 10°
Figure A.206. Normalized auto-spectra of gust velocities, Flight 6, Run 29,
A.256
10* r
6""6" 10°
10*
6
108
tT 10°
S•5*
* 10-a
N= 512SEG.= 6
N= 512SEG.= 6
N= 512SEG.= 6
N= 512SEG.= 6
WXRC
N= 512SEG.= 6
N= 512SEG.= 6
ZRC
N= 512SEG.= 6
WXRL
N= 512SEG.= 6
WYRL
N= 512SEG.= 6
WZRL
10-8 10° 10~8 10°K = u/V (m
10~8 10°
Figure A.207. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 29.
A.257
N
•6-
LL
LC
LR
F J I I ,1 i,,iml
—CL
—-CC—CR
".„ 10°
w y w z—LL
—- LC
—LR
—CL
—-CC
—CR
terr -x.>,
| f Illltll 1 H|<|||l | pllltll 1 1 MfllJ
10~z 10°
,,„.; , i ,,,.ij A
10~B 10°K = <j/V fm~r
r i i Html t i iiiml i 11 mm i nnrtJ
10'8 10°
Figure A.208. Two-point cross-spectra of gust velocities, Flight 6, Run 29.
A. 258
TABLE A.53. List of All Parameters Measured and Their Range of Values,Flight 6, Run 29. .
START TIHE 5*223.7177. STOP TIHE • 5*308.3177
CHANNEL2 PHI DOT3 ACCL «* CG4 THETA COT5 THETA6 PHI7 PSI 1P DEL PSI 19 PSI 210 DEL PSI 211 ACCL N LT12 ACCL N RT13 ACCl X CG14 ACCL Y CG15 ALPHA CTR16 BETA CTR17 TEMP IIP ff.ff P)<> ACCL Z INS20 ALPHA PT21 BETA RT22 ALPHA LT23 BETA LT24 PSI DOT25 TEMP TOT26 OC LT27 OC CTR28 OC RT29 PS30 TEMP IRT31 D TO G32 B TO D33 LONG34 LAT35 TRK ANG36 HOG37 Vt33 VN3<J ALTITUDE40 TEfPC<•! Erf WNO SPO4? NS »ND SPO43 ap.D SFEEO4<, *ISD OIREC45 A I B S P E E O Rv-, AIRSPEED C47 AIRSPEED L48 DELTA ALT49 INRTL DISP50 UG PIGHT51 UG CENTER5? UG LEFT53 VG RIGHT54 VG CENTER55 VG LEFT56 WG FIGHT57 WG CENTER58 WG LEFT
UNITSRAD/SECG UNITSRAD/SECRADRADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSRADPADDEC FDEC FG UNITSRADRADRADRADRAD/SEC .DEG CPSIDPSIDPSIDPSIADEG CMETERSDEGREESDEGREESDEGREESDEGREESRADIANSM/SECM/SECKMDEGREES CKNOTSKNOTSKNOTSCEGPEESM/SFCH/SECH/SECHETERSMETERSH/SECH/SECM/SECM/SECH/SECM/SECM/SECM/SECM/SEC
HIGH.125
-.986,OR5.103.087
190.0483.962
5*7.6913.7562.07*2.473.126.187.065.067
9S.16391.9841.57*.07*.091.077.056.052
33.360.966.930.975
11.59623.456
8773441.22980.527
-104.65439.880177.7293.33012.048
-97.2441.98424L1596 1*517.713
64.683303.414118.726115.965118.1191*,65610.55012.48113.055
. 13.2297.3748.1148.116
10.5329.1519.350
LOW-.343-.988-.091-.002-.182
182.299-3.679540.298-3.919-1.267-1.171-.026-.136-.104-.10998.26491.804-.069-.126-.078
. -.114-.113-.05430.407.598
... .591.613
11.55318.086
8772509,760'60.506
-104.66039.798173.0663.1904.379
-113.5071.95425.60230.455
-31.14830.917
260.92294.75093.05893.632-15.468-15.089-8.711-7.920-8.957-7.754-8.979-7.961-8.533-6.631-7.512
HEAN-.003*4-.9877*.00619.05159-.00756
187.012691.050*1
5*4.80294.623291.010631.02556.03662.00477-.01834-.0282098.67065
.... 91.81465
-!oil81. .00652-.00798-.03412.00245
32.51286.7762J.75840.785*8
11.5762221.317*7
»**********'
60.51672-10*. 6571739.83760176.348173.277256.81378
-106.733*11.9676227.0228946. 54551—6.3814347.53741
277.72412106.69984104.88739106,079*3-l.*7708-.35223-.00000-.00000-.00000-.03696-.03566-.03855.02071.01828.01657
RMS PJL.0*356,9877*,01832,056*3.0380*
167.018051.73*03
5**, 80*62.. 1,60931 ..
1,06*091.07778.04606.043*3.02672.03982
98.6709591.81*661.01558
_ ,02397.02578
._.. .02296 ...
..._ .04301.02116
32.51760.78074,76267.78991
11.5762321.3567*
***********60.5167210*. 6571739.83761176.351873.277357,05962
106.870261.9676227.0291046.761139.5854647.73347277.86274100.84328105.02774106.226226.025967,454773.733463.712573.806552.125562.225542.255262.404512.251732.44044
INT?33843384338433843384338433843384338433843384338*33843384338433843364336*338*338*338*338*338*3384336*338*336*338*33€*338*338*338*338*338*338*338*338*338*336433843384338433843384336*336*338*338*338*338*338*336*336*336*336*336*336*
A.259
<u>
<0
^
•4J C7>o •»-<l) i—5- U.
o o4-1
•a
o«3-
CM --~-o2g H- C•^ Q o- - S o
« v
«d- inr— "10^ !£ co
^ •— co
Q) Q) IB- > - » £ $ _* -i- 3Q t— Q
i-3O
oo
t-a>
ooo
ooooo
OOor>.
ooo
oI
0>01•o
00 „.. Ol«d- "O
C71
O
CO
ino
m.—
CO
CTi
00
to(U
CVJ
oooin
"\ /
oCO
ceL
U3
S-o
o>•.—
Ll_
CTlOCvJ
<cCD
A.260
oo
in<U
•r- O0 COo
i — C01 3> OL
>+- "01O -r-
Ol•^- r»
S- COO QJ-!-> Oin c:•^ dj: s-
O)<D 4-
O
CM
<C
Ol
3CD
O O O O O(\J T-H ^ .(\|
I I
a o o a o(M _-i —. (SJ
(s/ui)
A.261
TABLE A.54. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 30.
I. Mean Airspeed (m/s)
R
106.1 105.2 107.0
III. Standard Deviationof Gust VelocityDifferences (m/s)
XCL XRC XRL
0.98
1.00
1.12
0.96
0.94
1.03
1.21
XCL XRC XKL
1.01
1.29
Standard Deviation ofGust Velocities (m/s)
cr
3.04
aWYL
4.72
CTWZL
2.42
V. Integral
uwxc
3.01
CTWYC
4.76
awzc
2.40
Length
aWXR
3.21
CTWYR
4.73
CTWZR
2.53
Scale (m)
\L VXC \R
930 955 972
LW L-|f L-ir
^YL V \R
2038 2004 2074
581 600 636
A.262
1.0 i i i i i i r
W
n i i i | i i i rW
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1.0
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.211. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 30.
A.263
c<u'3
<uouao
t-,ouIo
1.
0.
-1. L
-1.0.
WXR
NXL
WYL
WZR
Wzc
NZL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
•5000.
Figure A.212. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 30.
A.264
1. WXRCI
01OU
ao
1touIo
-I(XIo
-1.
0.
_J I
I r-
WXRL
i
WYRC
WYCL
WYRL
WZRC
WZCL
WZRL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.213. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 30.
A.265
102
10°
ID'2 r
"b
I
10*
10°
10'
\I10*
10"
10-
von KarmanN= 512SEG.= 6
,J
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
innl I MMMll
von KarmanN= 512SEG.= 6
—von KarmanN= 512SEG.= 6
W7
von KarmanN= 512SEG.= 6
Wv
ni.il
von KarmanN= 512SEG.= 6
I I I mm I ) i mill I I 11 HIM ill nntl
—von KarmanN= 512SEG.= 6
10~a 10° l(Ta 10°
K = u/V (m-1)
10°
Figure A.214. Normalized auto-spectra of gust velocities, Flight 6, Run 30.
A. 266
102
6b"
•e- -z10-z i
io2
6"
\"5T
IO8
io-a
N= 512SEG.= 6
WXCL
nrtt i i i mill i i i mill
N= 512SEG.=6
N= 512SEG.= 6
ill i i i m in i i i mill
N= 512SEG.= B
WXRC
N= 512SEG.= 6
N= 512SEG.= 6
mini i i niiiil i i i mitl
N= 512SEG.= 6
WXRL
ml i i i mill i i i mill i i i mill
N= 512SEG.= 6
^YRL
N= 512SEG.= 6
ZRL*
1Q-8 10° 1(T2 10°K = w/V (m
10,-B 10°
Figure A.215. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 30.
A.267
10-Z 10° 10° 10" 10°ic = u/V
Figure A.216. Two-point cross-spectra of gust velocities, Flight 6, Run 30.
A.268
TABLE A.55. List of All Parameters Measured and iheir Range of Values,Flight 6, Run 30.
START TIME • 54396.3579 STOP.TINE • 5*4*1*657?
CHANNEL2 PHI DOT3 ACCL N CG4 THETA DCT5 THETA6 PHI7 PS1 18 DEL PSI 19 PSI 2
10 DEL PSI I11 ACCL H LT1? ACCL N RT13 ACCL X CG14 ACCl r CG15 ALPHA CTR16 BETA CTR17 TEMP I18 TEMP PJ9 ACCL 1 INS_20 ALPHA PT21 BETA RT22 ALPHA LT23 BETA LT2*. PSI DOT .25 TEMP TOT26 QC LT27 OC CTR _?8 QC PT29 PS30 TEMP IRT31 0 TO G32 B TO D33 LONG34 LAT35 TSK ANG36 HOG37 VE38 VN39 ALTITUDE40 TEHPC41 CU UNO SPD42 NS UNO SPD«3 WIND SPEED44 WIND OIREC<-5 A I B S P E I O R••i AlBSPEfO C47 AIRSPEED I49 DELTA ALT49 INRTL DISP50 UG RIGHT51 UG CENTER52 UG LEFT53 VG RIGHT54 VG CENTER "'55 VG LEFT56 WG PIGHT57 WG CENTER58 UG LEFT
UNITSRAD/SECG UNITSRAD/SECRADPADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSRAORADDEG FCEG fG UNITSRADRADRAD .RADRAO/SECCEG CPSIDPSIDPSIOPSIAPEG CMETERSDEGREESDEGREESDEGREESDEGREESRADIANSP/SECH/SECKMDEGREES CKNOTSKNOTSKNOTSD?GPEESK/SECp/srcM/SECMETERSMETERSM/SECH/SECM/SECM/SECM/SECM/SECM/SECM/SECM/SEC
HIGH.132-.986.079.103.136
320.3733.198
319.5653.0792.4482.093.102.159.032.067
96.80492.1631.443
._ _ . .034.093.049.046.076
33.360.903.669.916
11.61524.408
6774265.408160.536
-104.63439.662325.4555.582
-53.71878.2431.996
26.25452.12711.02952.259329.356115.263111.922113.99015.39910.3778.9717.6706.61612.42412.930
: 13.3075.6605.9236.993
LOW-.135-.988-.060-.001-.110
306.749-5.824310.764-8.300-.955-.519-.011-.169
: -.106-.12197.90491.980-.044-.101-.087-.119-.121-.074
JO. 407.642.643.671
11.53518.086
J770427.366'80.489
-104.69239.606317.1165.420
-61.44666.1331.941
24.81515.857
-28.17716.465248.53499.02596.97196.826
-40.356-44.998-8.132-6.339-6.351
-11.131-11.465-11.410-9.138-8.781-8.637
MEAN-.00150-.98774.00564.04840
-.02117314.24767-1.64363314.87559-2.925701.010791.01890.04816.00497-,01998-.0287398.5729291.99004.99784
-.01528.00540
-.01486-.03372.00348
32,04335.78101.76344
RMS.04142.98774.01666.05292.04347
314.260912.46791
. 3J4. 880764.098441.049681,05776.05077.04975,02523.04342
98.5730791.990051.00812.02331.02970.02236.04469
_ .0274532,05635.78203.76441
.79030 .7914211.56567 11.5856921.60008 .21.86582
I*********************60.51337
-104.6626639.83497321.357115.49545
. -57.9384272.562081.96103
26.5302328.08552-7.28048"30.91928284.74801107.00765105.21899106.39364-19,95947-22.26094-.00000-.00000-.00000-.01143-.01478-.01349-.01176-.01627
' -.01342
60.51337104.6628639.63497321.365575.4955557.9702872.656091.9610726.5505028.7945312.4366231.36558285.46080107,. 04173105.24900106.4254223.2060325.791463.297873.086523.104265.27921
"5.284875.242962.596362.447392.51175
POINTS_3412341234123412341234123412
.... 341234123412
.. 341234123412
_.. 341234123412341234123412341234123412
._ ... 34123412341234123412341234123412341234123412341234123412341234123412341234123412341234123412
.... 341234123412341234123412341234123412341234123412
A.269
0) -Mo: <o
o_cO •!->
••-> 0>o ••-
c/)04 *~+ -a00 H- CTl Q O
• O t/)•3" CM
00 CO2?*?."3 m ••
Q I— o
n)a.
o>
_L
<u•o
' <U**• -oO 3
cno
o o o0 0 0o o oO% 00 f
3O
OO
s_QJ
ooo
LOo
LO r—
CT>CO
_ o
oo
ai
ro
CVJ
ooom
CO
a3o:
CM
et
CU
3ai
A.270
Ol>
o>-ocra1/1a>
o roo
i— CO 3> Qi
4- 01O T-
<usi too cu
•(-> 0
-C 5-O>
QJ 4-E 4-
'I— T—
I— -O
oooooo
<aoS-3cr>
A.271
TABLE A.56. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 31.
I. Mean Airspeed (m/s)
102.5
C
101.5 103.3
III. Standard Deviationof Gust VelocityDifferences (m/s)
XRC HRL
0.74
0.77
0.86
0.82
0.75
0.95
1.01
XCL HRC XRL
0.77
°AW °A-arZCL AWZRC A¥ZRL
0.96
Standard Deviation ofGust Velocities (m/s)
aWXL
2.04
aWYL
5.16
aWZL
1.53
IV. Integral
crwxc
1.91
aWYC
5.19
awzc
1.47
Length
CTWXR
2.01
aWYR
5.28
aWZR
1.51 .
Scale (m)
VT Y/"* VDAij A\s A-Tt
915 901 890
\
2628 2592 2676
116 215 110
A.272
1.0R'='RighVC = Center HL = Left
i i i i i i i i rW
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
i l i i | i \ \ r
1-RC2-CL3-RL '
A W
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.230. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 31.
A.273
c<u'a
ouco
•!••<-fj.2"a!t<oo
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.229. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 31.
A.274
WXRC
tiOJ
ooao*3.S"a>
Io
RoOH
IO
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
3000.
Figure A.231. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 31.
A.275
102 r
10°
10-'r
102
b
1?
10-
t1?
10s
10°
10-
von KarmanN= 512SEG.= 6
—von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
Hyr
von KarmanN= 512SEG.= 6
Wy
von KarmanN= 5125EG.= 6
W7
von KarmanN= 512SEG.= 6
—von KarmanN= 512SEG.= 6
w,.
von KarmanN= 512SEG.= 6
i nirl i i n mil i t t unJ i i i nm iintml i iinntl i iiinnl i i mini
10-8 10° IQ'2 10° 10~2
K = u/V (m-1)
10°
Figure A.232. Normalized auto-spectra of gust velocities, Flight 6, Run 31
A.276
102
io2
b\.•^
•6-
102
" 10°
S•7
•e*
N= 512SEG.= 6
wxa
N= 512SEG.= 6
WYCL
i 'millI I Mllld 1 i 'mill i i i mill 1_
N= 5125EG.= 6
N= 512
WXRC
N- 512SEG.= 6
WYRC
i ' in"" LJ-U jiiil—i 1 1 i n i i l .
N= 5125EG.= 6
ZRC
N= 512SEC.- 6
mini
N= 512
SEG.= 6
WYRL
++
N= 512SEG.= 6
ZRL
ID" 10° 10~8 10°« = u/V (m
10,-8 10°
Figure A.233. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 31.
A.277
W x W z W X W Y
&
&
10-2 10° 10G 10- 10°K = u/V
Figure A.234. Two-point cross-spectra of gust velocities, Flight 6, Run 31
A.278
TABLE A.57. List of All Parameters Measured and Their Range of Values,Flight 6, Run 31.
START TIME - 54900.3731 STOP TINE • 94581,5231
CHANNEL2 PHI DOT3 A C C L N CG4 THFTA DOT5 T H E T A6 PHI7 PSI 18 DEL PSI _1_9 PSI 2
10 DEL PSI 211 A C C L N LT12 A C C L N RT
UNITSRAO/SECG UNITSRAO/SECRADRAOOEGPEES_LDEGREES _DEGREESDEGREESG UNITSG UNITS
13_A.C.Cl_JL CO GUN ITS14 ACCL Y CG_ G UNI15 A L P H A CTR PAD16 B E T A CTP RAC17 T E f P I DEG f18 T E M P P DEG f1<J A C C L z INS_G UNIT_S
HIGH• 119
-.966.056.101.030
JJL5«805_5.226
495.236_ 7.401
2.618_T 2.349
,155
LOW-.087-.968-.047.024
-.083
_ HEAN _-.00356-.98774•00534.05225
-.02370
RHS P.OINIS..02644.98774.01350.05511.03358
324632463246324632463246126.295 129.53603 129.54446
-1.828 1.32683 _ 1.87939 3246488.195 __491.32235 _4_?1.32409 3246_-2.007 _ 1.18977 1. 68496" __ 3246_ -.410 1.00977 1.03574 3246
.104 1.02389 1.04913,005 .06955 __»07566
04394
3246
20 ALPHA RT21 BETA RT22 ALPHA LT23 BETA LT24 PSI DOT25_TEMP TOT.26 OC LT27 QC CTR28 OC RT2<» PS30 TEMP IRT31 D TO G32 B TO 033 LONG34 LAT3i TBK AHG3<j HOG3 7 V E33 VN3? ALT ITUDE40 T E P P C41 tW WHO SPO<-2 NS kSD SPD4 1 W I N D S P E E D4 * W I N D O l f E C45 A I R S P E E D R46 A I R S P E E D C47_A IRS PEED L48 DELTA ALT49 INRTL TISP5C UG RIGHT M/SEC51 UG CENTER M/SEC5? UG LEFT M/SEC53 VG RIGHT M/SEC5 4 V G C E N T F R M / S E C5 3 V G LEFT P / S E C5 f WG RIGHT M/SEC57 wG CENTER M/SEC5 6 W G L E F T P / S E C
RADRADRADRAORAD/SPEG CPSIDPSIDPSIDPS IADEG CMETERSDEGPEESDEGREESDEGPEESDEGPEESRADIANSK/SFC .._M/SECKM
DEGREES CKNOTSKNOTSKNOTSDEGREESM/SECM/SECM/SECMETERSMETERS
TS .169.044.041
98.62492.163
TS 1.601.060.079.062.035
EC .06233.459
.663
.836
.87711.61424.029
-.145-.065-.09598.08491.984
.462-.066-.040-.059-.067-.037
.553
.547
.57611.55916.841
.00918-.01476-.0208298.28256 992.13624 91.00273-.00484.01492
-.00254-.02478.00286
Jl, 46964 3,72550.71196.73816
11.59065 120.25643 2
.02188
.0304698.2826692.13826
32463246324632463246
1*01069 3246._., 01960 3246.02503.01963.03211.01673
Hj50318,72950.71574.74210
11.5906620.35419
JI78P913.1108773855.757**********************80.587 80.513 80.54929 80.54929
-104.558 -104.653 -104.60699 104.6069939.869 39.814 39.64177 39.64178128.897 123.966 126.78799 126.799342.358 2.231 2.28765 2.28778
107,050 90.65t 100,66850_ 100,81730-71.326 -77.864 -75.06089 75.081051.979 1.941 1.95757 1.9576027.749 24.975 26,32574 26.3432662.144 37.047 49.71676 50.066497.812 -29.016 r:13.16749 16.0351763.638 44,511 52.42342 52.57357306.547 262.187 285.32951 285.55232112.635 91.537 103.33756 103.47682110.046 89.272 101.52771 101.66367111.776 __ 89.7909.127 -28.89111.525 -26.1615,370 -6,4565.108 -5.4805.575 -5.7429.869 -10.5859.522 -11.2859.383 -11.3005,031 -4,9794.813 -4.6546.032 -5.519
102.46276 _ 102,60521-12.60057 16.66684-10.25378
,00000,00000.00000
-.04291-.03644-.03539
3246324632463246324632463246324632463246324632463246324632463246324632463246324632463246324632463246324632463246324615.62155
.2.07041 32461,97966 32462.12244 32465.22491 32465.14116 32465.11095 3246
-.00442 _ 1.50163 . 3246.01003 1.45553 3246
-.00649 1.52213 3246
A.279
<U>
to'CU 4Ja: ra
D-cO 4J•r- JC4J O>0 •»-01 r-s- u_o o
4J•a
— •*- 0-—'CO
~ CO 00^- co
ooo^> r—•
Ol CO itJ•*-> E S-<a -i- 3o i— o
o oo oo oCTV CO
s_3O
-(->Coo
OOOr^
ooo
CM
o
a>•o
• cuS"°O 3
C7>
O
CM
LOr
CO
IOo
0>
CO
cuLO
CM
OOOin
CMCO
c3o;
CO
o4-c:
(Oa.
inCOCM
cu
A. 280
ttctvl M
3K o
rvj
D O O O O(M •-! «-i CM
*
< *
_1ct:>-3<
_ceX3
o
OCO
oCO
so
•o
CDO
o OCO (1)
OCD 0)
O
CD
OO
OCD
CD
(s/ui) paadg,
o o o a ot\| ^-i —i CSJ
i i
CJo<U
Ol
•oc:ta
toO)
•r- CMo ooo
r— CCL) 3
«/) VO
4- CD->O T-
CO U_cui. too cu+-> oto c
••- OJ.C L-
cu0) 4-
VOro
<ccui.3en
A. 281
TABLE A.58. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 32.
I. Mean Airspeed (m/s)
98.4 97.6 99.3
Standard Deviation ofGust Velocities (m/s)
WXL
1.62
(7
WYL
2.79
ac
1.53
2.81
a
1.50
WYR
2.79
III. Standard Deviationof Gust VelocityDifferences (m/s)
RC RL
0.65
0.70
0.72
0.63 0.68
0.74
0.86
XCL XRC XRL
0.72
°AFQffZRL
0.78
(7WZL
1.39
awzc
1.30
WZR
1.41
IV. Integral Length Scale (m).
X,674
\.1806
XC
656
YC
1735
\R
629
V1798
222 224 221
A. 282
1.0
0.8
2
0.2
0.0
T I I I
CenterLeft
T i l l
wi i i i I i i i r
W
-5. 0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.237. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 32.
A. 283
c<u
<uo
ao
oCJ
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.238. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 32.
A. 284
uft<*_!
0)
• co
Io
O
E-
1.
0.
-1.
WXRC
0.
-1.0.
WZCL
1000. 2000. 3000. 3000.
Spatial Lag ,S=VT(m)
Figure A.239. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 32.
A. 285
102
10°
10-
•von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
mill i i miij i i i mill i
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
von Karman= 512
.= 6
von KarmanN= 512SEG.= 6
Wy
I
—von KarmanN= 512SEG.= 6
W-,
nun,!
—von KarmanN- 512SEG.: 6
W,
10-2 10° io~8 10° icr*
K = <y/V (m-1)
10°
Figure A.240. Normalized auto-spectra of gust velocities, Flight 6, Run 32.
A. 286
108 r
6-bM 10°
161 io-a
IO2
6~ 10°\3;
:rr•6" 1Q-s
IO8
tr•r 10°
10-2
N= 512SEG.= 6
WXCL f
N= 512SEG.= 6
-N= 5125EG.= 6
N= 512SEG.= 6
WXRC
N= 5125E.G.= 6
WYRC
N= 512SEG.= 6
N= 512SEG.= 6
WXRL
N= 512SEG.= 6
N= 512+ SEG.= 6
**•< WZRL
mill I ! i,Mi,l i . ,,,|J i 111,11, I .mini i .iiiml I . iiimJ
io- 10° 10~2 10°K = u/V (m
10,-2 10°
Figure A.241. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 32.
A.287
1Q2
"v?•S 10°
«•
io-a
IO2
*^._. 10°•&'"
io-8
10*
s~*
""::? 10°•eri
io-8
rrr
..:
r
r
r
-
r
-
'
•-
_
:
r
r-
r
rr
r
rrr
r
|rI
5-
r
F
r
r
r
r
r
rfr
rr
r
r
f
r=
r
W x W z— LL— -LC
r — LR
r „ v.- x->- ^\ir x S \
r uyjvr \i 1
r r
r~ \ t nun i iiiinJ i i iiiitn li nintl
CL
— -ccr v ~CR
r v V,
r \N \\
r "VYf \r nr" t iiinJ i inniJ i iiiintl ii inml
— RL
— -RC
r — RRr /\r ^\\i
r ^V0v
r ^r
1 Illlin 1 IlintJ I iniml i itunn
r
r
P
sr--
rr
r—
r
I-
rr
i.i
rr-
r
r
rr
r
rr
a"
r
rir
r
r
r
r
rr
f
r
r
r
rr
rs-
r
r
W X W Y— LL
— -LC
— LR
•- N.^~'> \«.
"" \-v>V>--VV 1* 1
r vr ^r
~ 1 1 ItlHJ 1 1 lllllJ 1 1 IllltJ 1 1 MtlJ
— CL
— -ccr — CR
" -\"" *•• rL
\ \ » T^,r Vxi\*~ 'vi P
rri i iiinJ i i Mini i i iitnJ i minJ
— RL
— -RC
r — RR
r *\
" v -\•- \ v
: Nr: J ,1 1 ,,,,,,,!
rrrI-i
r
rs-
-
r
j-
rr__
=
i
r-
H
r
rr
rr
r
r
§•
r-w-
rr
5"
f
rr
r=
F
r•-
r
rr
rr
r
W Y W ZLL
— -LCr — LR
r v V.: V"v vur ,v\\r -^ l(M
r v5-
*1 llin^t i < mini i i uiiiil i i mill
CL
— -CC
r v. ~~CR
T~ ^ V-
r ^ N^ \: \ **** illu'r- *~ '\^fr \^r
ri i iiniil I mum i i until i i MINI
— RL
— -RC
r — RR
r „ x*
r ^ ''\r \y
:
r-,,,M,J ,,,„„,! ,,,„»! ,, J
10' 10° 10'8 10°
/c = w/V (m"1)
Figure A.242. Two-point cross-spectra of gust velocities, Flight 6, Run 32,
A. 288
TABLE A.59. List of All Parameters Measured and Their Range of Values,Flight 6, Run 32.
START TINE • 54633.3133 STOP TIHE • 5471*.*383CHANNEL
2 PHI DOT3 ACCL N CG4 THETA DOT5 THETAt> PHI7 PSI 18 DEL PSI 19 PSI 2
10 DEL PSI 211 ACCL N LT12 ACCL N RT13 ACCL X CG14 ACCL Y CG15 ALPHA CTRIb'BETA CTR17 TEMP I18 TEMP P14 ACCL Z INS20 ALPHA RT21 BETA RT22 ALPHA LT23 BETA LT24 PSI DOT25 TEMP TOT26 OC LT27 OC CTR2a OC PT21 PS30 TEMP IRT31 0 TO G32 B TO 033 LONG3<. I AT3? TRK ANG36 HOG37 VE38 VN39 ALTITUDE40 TEMPC41 EU WNO SPO4? NS UNO SPO*3 WJND SPEED<.<, WIND DICE:o A I R S P E E D R*.*. A I » ; P E t O C47 AIRSPEED L49 DELTA ALT49 INRTL DISP50 yG RIGHT51 UG CENTER52 UG LEFT53 VG RIGHT54 VG CENTER55 VG LEFT56 WG RIGHT57 WG CENTER58 WG LEFT
UNITSRAD/SECG UNITSRAD/SECRAORAODEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUN ITSG UNITSRADRAODEG fDEC FG UNITSRADRADRAORADRAD/SECDEG CPSIDPSIOPSIOPSIADEC CMETERS "DEGREESDEGREESDEGREESDEGREESRADIANSM/SECM/SECKMDEGREES CKNOTSKNOTSKNOTSCEGPEES>/SECP/SECM/SECMETERSMETERSM/SECM/SECM/SECM/SEC __.M/SECM/SECM/SECM/SECM/SEC
NIGH.08?-.968.048.083.064
331.2923.81$
330.1263.7261.9341.861.106.153.034.046
98.44492.3431.3BO.056.060.046.036.039
31.391
low-.097-.988-.027.023
-.167.325.304-2.239324.142-2.360.260.142
-.005-.117-.054-.07298.06492.163
.545-.055-.030
".Tl. -.054-.074-.03529.916
MEAN-.00291-.98774.00636.05687
-.01381. 328.63927
1.23549327.715421.11600
_ 1.015851.02666.05723.00976-.00748-.0164498.2969192.168071.00594.00239.01801
- ,00301-.02198.00462
30.60689
RMS PC.02995.98774.01256.06018.04153
328*641571.72975
327.717591.648911.033501.043991 06107..03901.01393.02687
96.2969992.168081.01111.01352.02675.01297.02911.01562
. 30.60830.759 .603 .66774 .66841.791 .587 .65563 .65626.777 .614 .66010 .68074
11.609 11.553 11.58528 11.5652922.684 19.717 21.04391 21.05456
8783838.5668782229.222******+*********+***+*80.605
-104.52639.883336.3225.777
-26.46375.1671.984
26.43046.022-15.39155.412325.573105.987104.195104.8031.5070.000.4.2064.6294.6037.6486.6636.6834.2473.9853.976
80.575-104.557
39.831332.0935.669
-36,76867.4501.94525.46922.610-35.01334,409290.01894.51592.42293.665-37.350-35.345-6.358-6.243-5.931-6.626-7.185
.._ -5.784-6.096-4.673
.... -5.067
80.59005-104.5410639.85753335.617945.73140
. -31.9748670.588131.9613125.6671134.62664
-25.83890"43,48318307.0000799.3343797.5655896.44388-20.93445-20.06137
- -..-.00000-.00000-.00000.00602.00661.00499
-<rOO}35.00078
i..r.00197
80.59005104.5410639.85754335.623965.73145
_. 32.06712._70.628111.9613325.6676P35.0029026.0685243.64368307.0661599.357059i. 5865198.4679522,6328821.76206.1.52472 ....1.557841.639152.775382.79466
_.._. 2.76955.1.414021.306001.37563
II MIS.32533253325332533253325332533253325332533253J253325332533253325332533253325332533253325332533253325332533253325332533253325332533253325332533253325332533253325332533253325332533253325332533253325332533253325332533253325332533253
A. 289
OF QUALITY
0)
+J2*O) 4Jo: 03
a.cO •!-»
O ••-<U i—s_ u_o o
•M-o
(6ap) spin inn
00 t— oO> Q (jr- S <L(
LTJ
o> 0) <o• » - > £ * -<0 ••- 3Q t— Q
I
s_3O+->co
(Q
s_
<=> So oo o<T> 00
ooor^
ooo
C\J
1-o
0)
. <u
CM
LOo
__ o
CTl
CO
(ULO
co
CVJ
oooIT)
r- :^Vf-A ' 'A
COro
3IX.
Ol
co
s-o
fOQ.
ro«d-CXJ
eC
OJ
3CT
A. 290
oo<u>
CD
-acCO
(/>01
••- COO COoi — Co> 3> a:
i/l VD3cn+J4- cnO ••-
(U•I— *S- U1o a>-M o
a;ai
i— "O
CM
eC
cu
o o o o o(M -H .-, (\J
i i (s/ui)
A.291
TABLE A.60. Average Turbulence Parameters and Integral Length ScalesFlight 6, Run 33.
I. Mean Airspeed (m/s)
97.3 96.4 98.2
H. Standard Deviation ofGust Velocities (m/s)
aWXL
1.69
wxc4.52
aWXR
4.39
aWYL
2.29
aWYC
2.46
aWYR
2.42
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL HRC XRL
aWZL
2.92
awzc
2.81
CTWZR
2.91
1.09 1.12 1.37 IV. Integral Length Scale (m).
XCL HRC XRL
1.07
1.28
1.09
«ZRC
1.22
1.19
1.39
SL741
Sr
YC
813
1914 1929 1912
V878
ZR
1237 1323 1079
A. 292
1.0
0 5.-5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1.0
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.245. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 33.
A.293
fl0)
ouao£"a!fco
0. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.246. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 33.
A.294
.aCJ
0)
cSco
£ooIo-u
O(X,IO
1.
0.
-1.
r_ L
-1.
0. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
NXRL
WYRC
WYCL
WZCL
WZRL
4000.
Figure A.247. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 33.
A. 295
102
10°
10-J
10*
10°
io-
\
I
102
10°
10"
von KarmanN= 512SEG.=10
nil) i inmJ , ,,l
von KarmanN= 512SEG.=10
WYL
i t i mm ill min i i i iinil i i i mn
von KarmanN= 512SEG.-10
•von KarmanN= 512SEG.=10
Wy
—von KarmanN= 512SEG.=10
von KarmanN= 512SEG.^10
,,,,,,1
-von KarmanN= 512
—von KarmanN= 512SEG.=10
—von KarmanN= 512SEG.^10
ID' 10° 10~8 10°
K = u/V (m
10,-2 10°
Figure A.248. Normalized auto-spectra of gust velocities, Flight 6, Run 33
A.296
108
164
102
10"
108
" 10°
N= 512i SEG.=10
f * * wxcu
r +
— fei'*5t*
i i i mill i i i n nil iii mill i i i n ui
1. N= 512f + SEC. =10
r X HTCL
r \
r
i i i HUB i i i min i t i mill i i i inn
1. N= 512f + SEG.^10
r +V WZCL
^ \r \r
i i i nun i i i mill I I I mill i I I mi
f
;_ N= 5121 SEG.=10
r ++tT
- fr
F
i i innil i i 1 1 urn i I i mill i i i inn
:. N= 5i2T + SEG.=10
r *+i+ ^YRC
" Htj*-
f- ^3ff
r
' , Minnl i I...,..! , MMIM! , mm
: N= 512F + SEG.-10
r +V+ WZRC
?~ ^TI>
\ \3-
ri i n mil i i itinn i i i mill i i i mi
r
' N= 512f SEG.=10
r + +
WXRL4-
^ \
r ^r
1 1 1 HUM 1 1 Illllll I I I ! Illll 1 1 1 Illlll
j. N= 512\ + SEG.=10
r "V WYRL
r \
' \\ V
r
1 1 1 Illl^l 1 1 1 Illlll i 1 1 1 Mill 1 I I nun
N= 512f + SEG.=10
r ++A WZRL
\ ^r
i i i HIM) i t mull i i 1 1 mil i i i nun
10-2 10° 10~2
K =10° 10,-2 10°
Figure A.249. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 33.
A.297
&
108
:s- 10°
io-a
IO2
10°
io-2
IO8
•7? 10°
io-8
r
3-
r~f-=
r1.
r
—
B~:
1-
1
r
r
r
r-
rrr:
r
rr
r:
-
-
'
•
'
"•
'
•
i-:
r-
r
T
r
r
r
r
r
•
•
r
r
W x w zLL
— -LC
r X — LR— v \/\
r '^ V- \ \* \r vv*t.\r ^Hv
i: 'r
m-3
i imin i iiiniJ i iiiinn i iiiitm
— CL
— -CC
r \ — CR- V \1
r \A*B~ \. V-v \1
f ^r
f-ii iniJ i,i,mJ ,,,,„»! ,,,„„,!
— RL
— -RC
r V. — RR- x *Af '*••» Vr ^x^Ar \\r \r
ri IIIIIH i ninii i muni i niiita
g"
r
sr~
3~
^rP
r
'—
r
~r=
rr
r
r-
rr_-i
rr
rr
-
3-
3"
—r
Zr
r
r
r
r;
r-
r
r
r
r^
r
r5r
r
rrr
W X W Y— LL
— -LC
r \ LR— \ \^
r \X- \ >^, \.r \ \\r >v (hi
r \rr
i i initj i i Mini i i iittii i i iinif
— CL
— -CC
r \ — CR; ^^
r \ \
r V\\
r "\rr
i i iiinJ i i nriiJ i i mitJ i i itniJ
— RL
— -RC
r \ — RR" \ >™r x
t *\
rx \?xVr \;<*r \r
r: 1 Illlli IIIHnJ IIIMIlJ , ,,,»J
r
i-
:.~s-:
r'.-
r'—
B-^_»rr
r
r
r-
5-
r
r~r
rrr
-
r*
r—r
~m-3
~r
W
r
g--
r-
r
r
r
r
i
r
r:
r
f
B~
f
r
W r W z— LL
— -LC
r \ — LR- \ \
i" *'-x \~ \ X|> *vr v- A \r A '\.r~ IA
rr1 ,,,! ,,,! , ,„„„! 1
CL
— -ccr V — CR* . ^^*^
i" ''-x \
! Vv\\\\, i
f ^rP" i i in ml i i mml i i ntml i i umf
— RL
— -RC
r V — RR- i ^^**\
r Vv V
r w\\\r *i *^-r \rr•, M.J iniinl i mini inmJ
io-z 10° icr8 10°K = u/v (m-i)
10,-8 10°
Figure A.250. Two-point cross-spectra of gust velocities, Flight 6, Run 33,
A.298
TABLE A.61.
OEliggNAL PAGE 5SOF POOR QUALITY
List of All Parameters Measured and Their Range of Values,Flight 6, Run 33.
START TIME • 54766.7186
CHANNEL UNITS HIGH2 PHI DOT3 ACCl N CG4 THETA DOT5 THETA6 PHI7 PSI 18 DEL PSI 19 PSI 2
10 DEL PSI 2 .11 A C C L N IT12 A C C L N RT13 ACCl X CG .14 A C C L Y CG15 A L P H A CTR16 B E T A CTP17 TEMP I18 T E M P P19 A C C L I INS20 A L P H A RT21 B E T A RT22 A L P H A IT23 B E T A LT24 PSI DOT25 T E M P TOT26 QC IT27 OC CTR2? QC PT23 PS30 T E M P IPT31 0 TO G32 B TO 033 LONG34 L AT35 TRK A4G3t HDG37 y?3 5 V N29 ALTITUDEV3 T E M P C<.! E tf WHD SPD<.? NS WHO SPOO W INO S P E E D^ WIND OIPEC45 A I P S P E E D R4ft A I R S P E E D C<i7 AIRSPEED L48 D E L T A ALT49 INRTL OISP50 UG RIGHT51 UG CENTER52 UG LEFT53 VG RIGHT5 4 V G C E N T E R55 VG LEFT56 VG RIGHT5 7 W G CENTER58 WG LEFT
R A O / S E CG UNITSRAD/SECRADRADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSR A OPADDEC FOEG FG UNITSR A DRADRADRADRAO/SECDEG CPSIDPSIDPS 10PSIADEG CTETERSDEGREESDEGREESD E G R E E SD E G R E E SP A D I A N SM / S F Cf / S E CKMDEGREES CK N O T SKNOTSK N O T SD E G R E E SH/SECM/SECH/SECMETERSMETERSH/SECK/SECH/SECH/SECH/SECM / S E CH/SECH/SECH/SEC
.170-.988
• 079.145.071
305.9314.256
307.9474.1972.4532.490
.201
.139
.090
.07998,44492.519
1.680.110.118.105.062.076
31.194.776.753.774
11.66016.632
8776542.362180.535
-104.60739.974
306.1215.364
-62.09149.8102.287
26.62140.373
3.69952.190
340.250105.809104.154109.685333.488
2.46811.93911.77413.557
7.9377.8087.4589.1416.4067.715
STW Tl«t
LOW-.148-.988-.070
.032-.084
i98.535-2.828
300.907-2.831-.707-.776
.019-.136-.079-.132
97.72492.163
.332-.078
_.. -.138-.068-.106-.058
28.536.544.531.530
11.1244.556
37J0261.263'80.449
-104.71839.914
303.0645 .237
-75.69642 .331
1.90924.160
6.112-39.691
9.450257.002
67.80787.94888.911
-44.630-24.247-10.582-10.481-11.724-10.063-6.950-7.393
-11.378-10.714-12.648
• 54931.31*6
MEAN RHS-.00328-.98774
.00610
.08220-.01177
_3£e. 668041.12369
304.680181.07682
... 1.010251.02369
.09164
.01008-.00648
._ -.0166398.17143
_. 92.331001*00493
._ .00712_ .01747
' .00840_-.02273
.0031830.06563
.65473
.64226
.6663911.6067612.59466
***********'80.49318-104.66145
39.94334304.69599
5.30829-65,95620
45 .658871.94636
25 .4362725.03413
-18.96161..""31,81763
306. 1900298.160<>696.3995897.30766-7.49217
...-••13939-.00000-.00000
._.. -.00000-.03200-.03587-.03442
.02001
.02269
.02964
. .03691.98774•01748.08618.02937
302^,670901.72800
304.682901.690101.052791.06677.09814.03693
. .02125.03125
98.1715292.331021.01745
.02424
.03013_. ,02279
.03254
.0193030.06855.
.65617
.64354.66767
11.6067712.93295
***********80.49319104.66145
39.94335304.69684
5.3083466,0367745,700571.94638
2 5 . 4 4 2 2 025.9166820.4266533.00006
30 fc .3 t f l 3398,. 2051396.4449597.3982610,4043010.16541
4.452184.583994.721802.407802.447302.277492.902252.796092.91104
POINJS57845784578457845784578457845784
_ 578457845784578457845784
.... 57645784578457845784
. 57845784578457845784578457845784578457845784578457845784578457845784578457845784978457845784578457845784578457845784578457845784578457845784578457845784
A. 299
0)
(C
"oJto
co ••->
4-> eno ••-s_ u_o o-a
5
00
CTl (/)
i— •• ro10 en
ai <u to+j E J-ra -r- 3Q H-Q
a.4J
en
I
1 1
I I
(6ap)
Io o oo o oo o oen co r^
ooo10
oi
ena>
• <D^J- TJO 3
t -r-cno
OJ
S
O
00
0)
CM
ooo
ro
c:3o;
F.
o
eaa.
LDCM
O)
A. 300
ct:M
dM
u>-2<
OCM
OO
OCO
oto
o
O
•CD
OO
o OCO d)
CO
oID 0)
I I t I I
cexcjx
S £
o(\J
O(M
OO
OCO
o(O
o
oCM
oo
T3CtoI/)a>
O COor- CO) =)> cc
a>
10 Ll_ai
*i— •%S- COO O)
4-> OCO C
•r- 0)£ S-
O)a> it-
LOCM
O)
en
o o o o otsi *-< >-< rsj (s/ui)
o o o o oCM —i -J (SI
I I
A. 301
TABLE A.62. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 34.
I. Mean Airspeed (m/s)
R
101.1 103.1 105.3
II. Standard Deviation ofGust Velocities (m/s)
orW.
XL
2.59
w.YL
2.02
(7W,
XC
2.18
w.YC
2.08
aw.
XR
2.53
w.YR
2.01
III. Standard Deviationof Gust VelocityDifferences (m/s)
0.89 0.91
0.87 0.90
1.01 0.99
1.19
HCL XRC XRL
0.95
1.13
W.ZL
2.01
aw,zcI. 82
W,ZR
1.99
[V. Integral Length Scale (m).
\L
671
596
718
592
XR
773
\C \B
638
1115 181
ZR
831
A. 302
1.0
0.8
1 n iR'='FlightC = Center WL = Left
i i i i i i i iW
I 1 I T ) I I i f
W
0 . 5.-5. 0 5.-5. 0
Normalized Gust Velocity (Standard Deviations)
i i i i I i i i i
1-RC2-CL3-RL
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.253. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 34.
A. 303
-c<u
ouco
t,ou
1.
0.
-1. L
-1.0.
.— - —r
WXR
Wxc• *
WXL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
WYR
Wzc
WZL
4000.
Figure A.254. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 34.
A. 304
1.
0.
-1.
WXRC
WXCL
WXRL
a'ju
Voocoa
1oio
Ia,
i
-1.
0. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
WYRC
WYCL
WYRL
WZCL
WZRL
4000.
Figure A.255. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 34.
A. 305
b
I
102
10°
10-i
Nb10*
10o
10-
von KarmanN= 512SEG.= 7
—von KarmanN= 512SEG.= 7
WYL
...I.J I .M.IlJ I
von KarmanN= 512SEG.= 7
von Karman :N= 512SEG.= 7
Wv
—von KarmanN= 512SEG.= 7
—von KarmanN= 512SEG.= 7
iiinil I I mini i iimiil
von KarmanN= 512SEG.= 7
n i l i l l mill
von KarmanN= 512SEG.= 7
—von KarmanN= 512SEG.= 7
10-8 10° 10~8 10°
/c = <y/V (m
10,-a 10°
Figure A.256. Normalized auto-spectra of gust velocities, Flight 6, Run 34,
A. 306
10a
10*
10°
io-2
10s
10°
1 0
r
L N= 512f SEG.= 7— *
: *
- **
r \<• \.r ^^1 «
r
N= 512f + SEG.= 7
f +**«. WYCL• *•?r ^ fci.
r
rf i ii inn i i i nun i i i mill i i i ii|ii
'• N= 512f + SEG.= 7
f +*V WZCL
^ \! \r ^m,i 'rr
j_ N= 512f SEG.= 7
r ++ WXRC-. ++
r *+
3" +2nk= -titt
r-
N= 5121 + SEG.= 7
f +\ WYRC
:
r-:
' , ,,,„„! ,1 , ,,,,„,!s:
1 N= 512f 5EG.= 7
F %
r" . Illlml , ,, ,„„! , ,,,,>„! „
N= 512f SEG.= 7
F +++
WXRL
f tt\ "V
r
[ , i,,,,,,l i nm.,1 > ,,,„„! , ,,,,„,!
1 N= 512f + SEG.= 7
; V'RL
r
r
:
: N= 512| SEG.- 7
r +*v WZRL
: +
5-
r" , ,,1 , ,,,,,„! , I N,|,,| I .,., ,,,|
10'8 10° 10~8 10°/c = w/V (m
io-810°
Figure A.257. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 34.
A. 307
W Y W Z
10'* 10~e 10°K = <u/V (m"1)
10,-B 10°
Figure A.258. Two-point cross-spectra of gust velocities, Flight 6, Run 34,
A. 308
TABLE A.63. List of All Parameters Measured and Their Range of Values,Flight 6, Run 34.
START TlHt • 59009*7169 STOP TINE • 55103.3189
CHANNEL? PHI DOT3 ACCL N CG4 THfcTA DOT5 THETA6 PHI7 PSI 18 DEL PSI 19 PSI 210 DEL PSI 211 ACCL N LT12 ACCL N RT13 ACCL ...X CG14 ACCL T CG15 ALPHA CTR16 BET* CTR17 TEMP I19 TEMP P19 ACCL Z INS20 ALPHA RT21 BETA RT22 ALPHA LT23 BETA LT24 PSI DOT25 TEMP TOT26 OC LT27 OC CTR?8 OC RT2<> PS30 TEMP IRT31 0 TO G32 B TO 033 LONG34 LAT35 T*K ANG36 HOG37 VB3? VN39 ALTITUDE40 TEHPC41 Eb UNO SPO4? MS UNO SPO43 WIND SPEED44 yiNP 01PEC*. r, i I P < •> ? f r P<•-- t if S'CEC C47 4IRS»EEO L44 DELTA ALT49 INRTl DISP^0 JJ(J PIGHT51 US CENTER*? UC LEFT53 VG RIGHT54 V<5 CENTER55 VG LEFT-S&-JUL8I.OHT57 VG CENTER5* WG LEFT
UNITSRAD/SEC6 UNITSRAD/SECRAORAODEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSRADRADDEC FDEC FG UNITSRAORAOFADRADRAD/SECDEC CPSIDPSIDPSIOPSIADEC CMETERS __DEGREESDEGREESDEGREESDEGREESRADIANSH/SECM/SECKHDEGREES CKNOTSKNOTSKNOTSCEGPEESM/SFC»/SKH/SECMETERSMETERSM/SECH/SECM/SECM/SECM/SECM/SECM/SECM/SECM/SEC
HIGH.128
-.988• 072.079.057
146.0203.579
505.0863.5202.3092.420.108.167.045.052
97.90492.5231.526.057.081.055.044.047
_ ._ 32,080
_LOW .-.133-.988-.049.019
-.111138.975-3.150498.059-3.330
.127-.236.005
. .. -.143-.069-.08397.36592.343
.415-.053-.039-.055-.093-.04129.619
.916 .670
.689 .657
.917 .68211.667 11.32515.152 8.063
8781697. 6518775113. 97180.569 80.490
-104.564 -104.65939.965 39.887137.883 136.1152.535 2.41788.940 85.651-91.2962.14426.34061.234-4.98362.619306.443115.007113.043114.693207.00120.9854.6504.5365.4195.5245.3525.0305.8487.0446.653
-94.6671.90524.42534.797
-31.36636.036276.25199.40797.62498.464
-31.P310.000
-8.538-8.651-9.335-6.757-8.365-7.574-6.444-6.161-7.641
MEAN-.00342-.98774.00605.04662
-.01297142.20724
.01757501.38409-.096801.011061.02421.05088.01420
-.01631-.0140697.6593892.390951.00267.00342.02200
:... .00432-.01754.00334
30.76657.75544.74155.76943
11.6063313.65616
*****•*****!
"80.53013-104.6112839.92564136.823592.4728687.06648-92.714911.9466725.4365346.82274
-20.75382-51.45601293.73613105.32870103.44S26104.385989.8729913.15567.00000.00000.00000
-.00546-.00439-.00730.00261-.00020
• .00724
RMS POINTS.03617 3744.98774 3744
_. .01475 3744.05038 3744.03306 3744
142.21209 37441.14997 3744
501.38536 37441.15295 37441.04447 37441.05858 3744.05379 3744,04965 3744
...... .02167 .3744.02655 3744
97.65949 374492.39099 37441.01106 3744.01501 3744.03013 3744.01526 3744.02755 3744.01732 3744
30.77297 3744.75678 3744.74282 3744.77075 3744
11.60633 374413.71274 3744
*********** 374480.53013 "3744104.61128 374439.92565 3744136.82423 37442.47294 374487.07146 374492.71873 37441.94668 374425.44042 374446.94765 374421.41187 374451.59990 3744293.79008 3744105.37107 3744103.46t66 3744104.42937 374412.34200 374414.02453 37442.52999 37442.47754 37442.58126 37441,99429 37442.06950 37442.00985 37441.96394 37441.79981 37442.01710 3744
A. 309
ORIGINAL PAGE 5SOF POOR QUAirTY
(O
cu
•M O>o ••-CU i—L. U.
O O
•o
01CM •— --O» t- C
- CM•— "00
i— IO
3 m ••T> ^-c
o
<u a) <o•M £ S-(O ••- 3Q h-Q
(Oa.
I Io oo oo oen oo
~i:o>o>•o
in QJTJ
I -r-C7»
J in_o
<r>
(6ap)
o
t.o
oo
2a>
(U
CO
CM
oOOr-.
ooo
ooo
-V.-^:' V.••'"' : .'_.
LOCO
o• r-
tO
o^-
toa.
CTlunCM
S_
O)
iZ
A.310
0)>
CO3cr>
t/iOJ
•i- LDU OOO
r— C<U 3> CC
</>3
CT>
S- coO 0)
4-> OCO C
O) M-E M-
O
C\J
<
QJ
O O O O O(M •—I •-« CM (s/ui) paadg
A.311
TABLE A.64. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 35.
1. Mean Airspeed (m/s)
107.6
R
106.6 108.4
III. Standard Deviationof Gust VelocityDifferences (m/s)
XCL XRC HRL
0.91
°AW*ycL
0.88
0.95
0.99
0.92
1.07
1.26
0.91
1.15
n. Standard Deviation ofGust Velocities (m/s)
aWXL
2. 09
a
3.28
aWZL
2.20
awxc
1.91
aWYC
3.35
awzc2.09
CT
WXR
2.01
aWYR
3.32
aWZR
2.28
IV. Integral Length Scale (m).
\* l f f ^*W
L XC X.R
184
791
184
XL Xc753
187
788
363 397 361
A.312
1.0 1 i r
W
i r I I T T
W
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1.0
0 .5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 35.
A.313
GD
OU
flO
t*uo
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.246. Single-point auto-correlation coefficient of qust velocities,Flight 6, Run 35.
A.314
WXRC
d.2u
0)oOc.2*3
<sJ
IO
o(X
Io
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
Figure A.261. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 35.
A.315
102
•e- 10o
10-i
Nb
io8
10°
io-
10*
10°
10,-a
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
—von KarmanN= 512SEG.= 6
YC
•von KarmanN= 512SEG.= 6
— von KarmanN- 512SEG.r 6
von KarmanN- 512SEG.= 6
von KarmanN= 512SEG.= 6
i m i l . i n m i l . , , i i i i i l i i ' I . mi,il i i . n m l , .n.,.1 I I , mill
10,-e 10° 10~8 10°
K = w/V (m
10,-2 10°
Figure A.262. Normalized autojspectra of gust velocities, Flight 6, Run 35
A.316
108
•6- 10-« ~r
108
r 10°
10-a
N= 512SEG.= 6
WXCL
N= 512SEG.= 6
N= 512SEG.= 6
WZCL
N= 512SEG.= 6
W•m-*
^
XRC
N= 512SEG.= 6
WYRC
N= 5125EG.- 6
'••*+
N= 512SEG.= 6
N= 512SEG.= 6
WYRL
N= 512SEG.= 6
WZRL
1Q-2 10° 10° 10°
Figure A.263. Nonnalized two-point auto-spectra of gust velocities,Flight 6, Run 35.
A.317
w x z w
IO8
10°•e-
io-3
sT X
rr
rr
—LL—-LC—LR
iiiniJ i i iiniJ i n nuil i I Him
102
io-8
r t
|T
r r
-—CC—CR
~ i iiiinj i iiimj i itnui! i iiiinil
•e*
io8
10°
io-8
—RL—-RC—RR
i.iimJ , ,,,,,J I ,..|J
10~8 10° i(T8 10°K = w/V (nr1)
10" 10°
Figure A.264. Two-point cross-spectra of gust velocities, Flight 6, Run 35,
A.318
TABLE A.65. List of All Parameters Measured and Their Range of Values,Flight 6, Run 35.
START TIKE • 55285.3543 STOP TIHE • 55353.304)
CHANNEL?>HI DOT3 ACCL N CG4 THETA DOT5 THETA* PHI7 PSI 1d DEL PSI 19 PSI 210 DEL PSI 211 ACCL N LT12 ACCL N PT13 ACCL X CG14 ACCL V CG15 ALPHA CTR16 BETA CTR17 TErP Iie TEMP P19 ACCL Z INS20 ALPHA fl21 BETA RT2? ALPHA LT23 BETA LT24 PSI DOT25 TEfP TOT26 OC LT27 OC CTR?e oc RT2<» PS3C TEHP IRT31 0 TO G3? B TC 033 LONG34 LAT3* TPK AKG3t HOG37 VE33 VN3) ALTITUDEv; TE*K41 EM WSO SPO«.? NS WNO SPO43 ulNP SPEED*i «I*r OIVEC-: AIRSPEED •«.- AlFSPEEO C47 AIRSPEED I48 DELTA ALT49 INRTL OISP50 UG RIGHT"5 TUG CENTER5? UG LEFT53 VG RIGHT54 VG CENTER5^ VG LEFT56 WG PIGHT57 WG CENTER59 WG LEFT
UNITSRAD/SECG UNITSRAD/SECPADRADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSPADRADDEC FC£G FG UNITSRADRADPADRADRAO/SECDEC CPSIOPSIOPSIDPSIADEC CPETERSDEGREESDEGREESDEGREESDEGREESRADIANSH/SFCP/SEC*HPtCREES CKNOTSKNOTSM«OTSCEGPEESH/SECH/SECH/SECMETERSMETERSH/SECH/SECH/SECH/SECH/SECH/SECH/SECH/SECH/SEC
HIGH.093••988.070.09?.099
13.5828.694
371.3168.3712.2982.288.120.173.045.073
97.72492.7031.716.062.103.059.054.062
33.065.899.888.936
11.65521.708
8799137.088180.714
-104.35339.86621.881
.?5135.66891.9212.10027.37248.924
-17.42357.673345.040116.223113.220113.989177.11533.6156.3715.4365.86112.02612.32110.4017.4716.5827.672
LOW-.099-.988-.047.020
-.1194.776.347
362.867-.067-.438-.338.011
-.195-.061-.11597.36592.523.427
-.068-.060-.072-.115-.05431.765.717.705.715
11.38719.312
B795967.168<80.707
-104.37839.81118.634
.10030.91688.3901.91326.2256.029
-38.79624.643296. ?38101.773101.076101.921-10.4210.000-6.567-5.729-5.778-10.131-9.742-9.609-9.913-9.447-10.679
HEAN-.00338-.98774.00566.04795
-.010069.023134.33168
366.862553.964181.009681.02202.04955.01067
-.02319-.0174897.4739792.54734.99980
-.01223.01693
-.01249-.02211.00465
32.42029,80012.78437.81260
11.6101220.56946
***********60.71034
-104.3656339.8386919.9C451.17238
32.7536390.498521.9440326.7t60524.63383-27.41379~37. 30196318.62575108.42732106.57343107.6111520.9978621.19528-.00000-.00000-.00000-.00057-.00384-.01005-.01703-.01888-.01758
RHS.03385•96774.01629.05007.039149.228774.73575
366.867344.422461. 053721.06064.05131.05095.02756.02996
97.4740292.547361.01037.02005.02769.02042.03107.02079
32.42126.80063.78481.81310
11.6101320.59765
***********80.71034104.3656339.8386919.92664.17589
32.7821390.505711.9440626.7668125.5994827.6235037.66154318.95269108,. 44349106.58758107.6275922.9198322.698351.978731.874652.065513.522663.526053.474142.276602.088042.20457
POINTS271827182718271827182718271827182718271627182718271827182716271827182718271827182718271627182718271827182718271827182716271827182718271827182718271827162718271*27182718271827182718271827182718271827182718271827162718271827182718
A.319
QC (0Q.
•U CDO ••-«U r-i- LL.
O O
J L
(6ap)
CM --^-O00 I- CT> Q O' -SO
— 'dj•• in f>" LO
1 — . . rv.
>»CM
3 lf» ••T> ^- eo
d) <U U*J = !_<O •"- 3Q H-Q
OOO O
CO
oo
ooof-.
ooovO
cni -8
LO
C7>
O
°
Oiro
CO
LO
OooLT>
'"" \
\
^
CO
C£.
VQ
+->
cn•r—
U.
o•r—
<O
Ol<-c
fOa.
unCM
O)S--
O)
A.320
oCO
oo
oCO
K CJtvl
QiM
Oo<u
853
o:X
oee. o3<
O
O
oo
o OCO 0>
CD O
S
.dX
o
_, d
oo
oCD
CD
oM
1 1 1 1
0 0 0 0 0O O O O O
3CD
01O
o noO)
I/) ID
o ••-
oo><D
-0
to
CD
A.321
TABLE A.66. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 36.
I. Mean Airspeed (m/s)
107.9 106.8 108.7
III. Standard Deviationof Gust VelocityDifferences (m/s)
a' a•XRC \RL
II. Standard Deviation ofGust Velocities (m/s)
(7WXL
2.48
aWYL
4.18
crWZL
1.92
crwxc2.44
aWYC
4.21
awzc1.70
aWXR
2.49
aWYR
4.26
aWZR
1.85
0.90
0.86
0.88
0.85
1.12
HCL XRC HRL
0.90
IV. Integral Length Scale (m).
wL
415
xcLw
439 460
0.97
XRC XRL
1.02 1.221637
Sir^
1588 1632
339 357 297
A. 322
1.0 c-r-T-r- 1 I I I | I I I T
W
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1.0
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.267. Probability density function for gust velocities and gu.velocity differences, Flight 6, Run 36.
A.323
c••CJ
<uouao3
ouIo
0. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.268. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 36.
A. 324
ORIGINAL PAGE ISOF POOR QUALrTY
WXRC
VouB.22—"o>t_ocj
O
;ooa. 2000. :
Spatial Lag ,S=VT(m)
Figure A.269. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 36.
A. 325
I
\
I
10a
10°
10-
von KarmanN= 512SEG.= 4
J , I.MlJ I I I Mil
von KarmanN= 512SEG.= 4
von KarmanN= 512SEG.r 4
von KarmanN= 512SEG.= 4
XC
ml
von KarmanN= 512SEG.= 4
von KarmanN= 512SEG.= 4
i i l l l t l l nil , , I ,
von KarmanN= 512SEG.= 4
von KarmanN= 512SEG.= 4
w,
—von KarmanN= 5125EG.: 4
10- 10° 10° 10°
K = u/V
Figure A.270. Nonnalized auto-spectra of gust velocities, Flight 6, Run 36.
A. 326
10a
-T 10°_£
•^
•e-
io8
trbT 10°
3:;?
>e« 10-2
ioa
tr 10°
10-2
N= 512SEG.= 4
WXCL
N= 512SEG.= 4
WYCL
N= 5125EG.= 4
10-8
3- +N= 512SEG.= 4
WXRC
N= 512SEG.= 4
N= 5125EG.= 4
N= 512SEG.= 4
XRL
N= 512SEG.= 4
WYRL
N= 5125EG.= 4
K = u/V10,-2 10°
Figure A.271. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 36.
A.327
102 r
•e-
io
102
10° r r r
io-z
W X W Y
nr
rf
rf
-LL
-LC
-LR
w y w z
!T x<
—LL
—-LC
—LR
rr
s-f \
uui-CL
-CC
-CR
^r- nl , , i mill i i,nnil i M
108
io-8
—RL—-RC
— RR
—RL—-RC
-- RR
srr \
rf
id
•RL•RC•RR
IDI
10' 10° 10~z 10°
/c = w/V (10,-z 10°
Figure A.272. Two-point cross-spectra of gust velocities, Flight 6, Run 36.
A. 328
ORIGINAL PAGE OSOF POOR QUAUTY
TABLE A.67. List of All Parameters Measured and Their Range of Values,Flight 6, Run 36.
START TINE • 9509.4796 STOP TIME 95492.6296
CHANNEL2 PHI DOT3 ACCL N CG4 THETA COT5 THETA6 PHI7 PSI 10 DEL PSI 1<» PSI 210 DEL PSI 211 ACCt N LT12 ACCL N RT13 ACCl X CG14 ACCl V CG15 ALPHA CTR16 BETA CTR17 TEMP I16 TEHP P19 ACCL Z INS20 ALPHA RT21 BETA RT2? ALPHA LT23 BETA LT2* PSI DOT25 TEPP TOT26 QC LT27 OC CTR28 QC RT29 PS30 TEHP IfT.31 fl TO G32 B TO 033 LONG3* LAT35 TRK ANG30 HOG37 VE38 VN39 ALTITUDE«.0 TEfPC<>! EM UNO SPO<.? NS WNO SPO*3 MISC. SPtEO«.<. klNL OI»EC• - » 1 1 1 ? E F C «<••;. i i»: »f ft c47 AIRSPEED I<••» DELTA ALT<•« INRTL DISP50 UG RIGHT51 UG CENTER52 UG LEFT53 VG RIGHT5<. VG CFNTEft5'j VG LEFT56 WG RIGHT57 WG CFNTER59 UG LEFT
UNITSRAD/SECG UNITSRAO/SECPADRADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSRADRADDEG fDEC FG UNITSRADRADRAORADRAD/SECDEG CPSIOPSIDPSIOPSIADFG CMFTERSDEGREESDEGREESDEGREESDEGREESRADIANSM/SFCM/SECKMDEGREES CKNOTSKNOTSKhOTSCEGBCESH/SF.Cf/SKH/SECMETERSMETERSM/SECM/SECH/SECM/SECM/SECM/SECM/SECM/SECP/SEC
HIGH.150
-.986.056.080.069
145.3154.609
904.3894.4911.9662.342.108.205.027.042
97.72492.8R31.483.035.069.049.033.056
34,049.881.869.902
11.60524.974
LOW-.150-.988-.058.010
-.101135.453-4.678495.236-4.801-.248-.130.005
-.155-.065-.07997.36992.703.509
-.064-.041-.083-.074-.05231.194.665.669.702
11.56119.1C9
.MEAN-.00318-.98774.00528.04882-.02130
140.89133.46417
900.12913.315131.012411.02570.05256.00695
-.02379-.0197297.4748992.760331.00380-.01647.01374
. -.01626-.02480.00235
33,54743.60116.78564.81406
11.5793521.73162
RMS.03 to 4.96774.01419.05151.03655
140.900431.65305
900.131531.614431.046701.05720. ,05573.05558.02720
... .0302897.4749492.760371.01150.02207.02507.02198.03246.02009
32,55178.80214.78656.81503
11.5793521.77920
8803745. 664 87 99810. 08A«**********M*******»«60.770
-104.26939.855139.7832.52588.349-92.401
1.97828.16051.213-7.86758.149326.282114. 2<)«J11?.?24112.99814.25017.2447.2727.7899.1859.9799.5149.5965.6965.6625.896
80.723-104.34239.806136.3472.35882.361-97.315
1.94825.86120.739-37.96630.530280.825101. IS?•J8.77396.481-16.446-15.440-5.506-5.426-4.908-6.759-6.877-6.334-7.362-5.744-5.668
80.74615-104.3142039.83044137.972972.4500965.47921-94.732091.9654426.8677436.9S518
-21.75357-43.63255300.743«i9108.66604106. 79631107.620691.318202.54706.00000.00000.00000.01414.01394.01041
-.00415-.00512
. -.01152
80.74615104.3142139.83045137.978602.4502585.5095094.746611.9654526.8701637.5278022.7795443.90038300.93686108.697>010t). 82716107.852976.711566.452922.543292.494242.535714.152864.111844.079822.033441.935082.09458
POIMIS228622862286.22862286228622862286228622862286226622862266228622862286228622862266228622862286228622862286228622862286226622862286228622862286228622862286228622862286228622862?8fr2?et228622862266228622862286228622862286228622862286
A. 329
OF POOR QUALfiY
o> r> i'£ !"<o ;
•— -c [-nj 4^> ;<* £ I
Q. i
§*- LO ••-<U •—i- u.a o
+j-3
in
in eo.C\4
3 m •_;*~ 5
• r~•• ..4J41 OJ <O•*J E i-rt3 *^- 3
I IO Oo oo o
I I I I
(Sap)
$_o•uco
•Owa*
ooo
ooo
-446 L9H
oI
O)
: in
i IT)o
ro
_ o
CO
<u•r»
s:
evj
Ooo
x
.*
c&-.^-
. -c3
ca:
cn
u_•t
O
ns
O
ro
CDi.
cn
A. 330
o(SJ
oo
OOO
OUD
OO
X3<»
L)
3
<
O O O D Ot\J —i —i (M
I I (s/uu)
>-3
<
o(M
OO
o OCO a)
wc5UD D
. 6
o
o
oo
oto
oID
ocsi
o
a o o o oCM _i —" (SJ
I I
cro
11
u roo<U 3> a:
OJ•P— «N
S_ in0 O)•(-> O(/> C
•r- QJ.C S_
O)01 H-
CM
et
01
en
A.331
TABLE A.68. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 37.
I. Mean Airspeed (m/s)
104.5 103.4 105.2
III. Standard Deviationof Gust VelocityDifferences (m/s)
A\CL
0.72
0.73
A\RC
0.73
0.69
0.91
XCL XRC XRL
0.75
Q. Standard Deviation ofGust Velocities (m/s)
CT
WXL
2.27
aWYL
4.45
aWZL
1.62
V. Integral
o a\C \R
2.22 2.28
a aV WYR
4.48 4 .41
a aWZC WZR
1.52 1.63
Length Scale (m)
\L \C \R
349 353 354
ZCL
0.81
ZRC
0.87
ZRL
0.972070 2036 207
212 223 224
A.332
I I I I I I I I I
w
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
5.
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.275. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 37.
A.333
<u
oCJ
do
.3
ou
1.
0.
-1.
™" 1 •
0.
Wzc
WZL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.276. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 37.
A.334
0F POOR
WXRC
4)
8ao
£
I
oCuIi6-
1
IF^..^ WXRL
^~~7~~--v__ j_ « i < — — — I- i — — i-—
WYRC
3000. 2000, 3000.
Spatial Lag ,S=V7(m)
Figure A.277. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 37.
A.335
"b
I
102
10°
10*
10-
•von KantianN= 512SEG.= 6
i.,J , J I
•von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
ml I i 11 mill
•von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
i.nJ i it.ii.il i ii I . mini . I . I ,il i " i i i | . . i I ,1 i ,,ii,i,l
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.: 6
W,
10- 10° 10~8 10°
ic = <y/V (m~J)
10,-e 10°
Figure A.278. Normalized auto-spectra of gust velocities, Flight 6, Run 37
A. 336
IO2 r
r 10°
10-
10*
6" 10°\
J^«•• io-8
10a
6"tT 10°
10-2
N= 512SEG.= 6
N= 512SEG.= 6
N= 512SEG.= 6
WZCL
N= 512SEG.= 6
N= 512SEG.= 6
WYRC
N= 512SEG.= 6
WZRC
N= 512SEG.= 6
,11,1 I I I I 11 1 ,1,1
N= 512SEG.= 6
WYRL
v
N= 512S£G.- 6
WZRL
10' 10° 10~8 10°ic = cj/V (m
10,-B 10°
Figure A.279. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 37.
A.337
— LL
10,-z 10° io-B 10°K = u/V (m-1)
10-e 10°
Figure A.280. Two-point cross-spectra of gust velocities, Flight 6, Run 37,
A. 338
TABLE A.69.
ORIGINAL PAGE ISOF POOR QUAITTY
List of All Parameters Measured and Their Range of Values,Flight 6, Run 37.
S T A R T TIHE • 55949.4097
CHANNEL2 PHI DOT3 ACCL N CG4 THFTA DOT5 THETA6 PHI7 PSI 1e DEL PSI 19 PSI 2
10 DEL PSI 211 A C C L M LT12 ACCL N RT13 A C C L X CG14 A C C L Y CG15 A L P H A CTR16 B E T A CTR17 TEUP I18 TEMP P1" A C C L Z IN$20 A L P H A RT21 B E T A RT2? ALPHA LT23 B E T A LT24 PSI DOT25 TEMP TOT26 OC LT27 OC CTR28 OC RT2<5 PS30 TFMP IRT31 D TO G32 8 TO 033 LONG3* L AT~t TRK ANG3-5 HOG17 VF39 VH39 ALTITUDE40 T f h P C41 CW UNO SPD4? SS *ND SPDO 4 IKP S P E E D* 4 W I N D O l S E C.-. U S S P E F O «
'••; A I P S P E C O C47 A I R S P E E D L43 DELTA ALT4<i INPTL DISP
0 UG RIGHT1 UG CENTER2 UG LEFT3 WG PIGHT<> VG C E N T E R<> VG L E F Tr; *G BIGHT? KG C E N T E R6 WG L E F T
UNITSRAO/SECG UNITSRAD/SECR A ORADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUN ITSG UNITSRADRADDEC fOEG FG UN{T$RADR A ORADRADRAD/SECDEC CPSIDPSIDPSIDPSIADEC CHETERSD E G R E E S "DEGREESDEGREESDEGREESRADIANSK / S F Cf / S E CKMC F C P E E S CKNOTSKNOTSKNOTSD E G R E E S* / S f CH/SECM/SECfETERSHETFRSM/SECI»/SECH/SECH/SECfl/SECr /s tcM/SECN/SECM / S E C
HIGH.13*
-.988.054• 079.059
304.8662.110
306.5391.9332.2382.558
.094
.161
.035
.02996.44493.062
1.395.032.057.040.019.052
32.868.860.839.876
11.61623.456
STOP TINE
LOW-.091-.988-.045
.019-.087
297.465-4.913
299.850-4.976-.488
.105
.007-.152-.074-.100
97.72492.703
.542-.062-.059-.065-.100-.043
30.899.665.656• 678
11.41720.320
• 59631.6347
HE AN-.00292-.98774
.00641
.04907-.01464
RMS.02969.98774,01296.05071.03435
30.1*03588 301.04029-1.48293
303.14423-1.60693
1.014601.02708
,04301.00823
-.01876-.02116
98.0143692.68271
1.00455-.01344
.01273-.01152-.02696
.0034931.96564
.75267
.73724
.7637611.5955222.26972
2.20261303.14844
2.274131.041471.05097
.04447
.04573
.02219
.0300898.0145092.682711.01046
.01900
.02303
.01724
.03336
.0160231.97022
.75407
.73836
.7649411.5955322.27804
8804740. 5 318799049. 306******* »********»*»***60.776
-104.27539.845
302.6015.344
-75.63348.604
2.07928.00130.469-9.72445.368
348.604112.530110.238111.541105.858
1.1066.9586.5987.0809.2619.1669.0286.1216.4737.026
80.720-104.349
39.813294.685
5.219-79.375
35.1261.940
25.9966.342
-43.55917.025
294.79899.16197.S9498.236
-33.336-31.042
-5.420-4.854-4.927-7.592-7.947-7.604-4.734-5.081-4.635
80.74798-104.31161
39.82955299.01940
5.27990-77.36219
43.012791.95418
26.6396216.66617
-27.9416333 .44439
327.64846105.21123103.40906104.47403-16.68896-17.22765
-.00000-.00000-.00000-.02226-.02495-.03043-.02240-.02100-.02116
60.74798104.31161
39.82955299.02883
5.2799877.3675143.20625
1.9542126.6427617.4313029.1140433 .93343
327.9422910!».250P7103.44771104.5146321.1598719.52640
2.224592.166372.214354.387974.459594.431471.590691.489031.58769
32893289328932893289.32693289328932693289328932893289326932893289328932693289328932893289328932893?893?69328932893289328932693289328932893289328932893289328932893269328932893?893269328932893269328932893289328932893289328932893289
A.339
0)
•is !-
-MO) IO •f- L<U r- T
o o-3
CO
CMoo c
o
ooco
>,CVJ
15 LO '•
.. .. <->Ol O) (T3+J E S-gr-3
Io 2o o§ §
I I
(6ap)
ooor .
ooo
oi
0)
Lf)
oin
CO
co
CO
<uLO
ooo
•iii"
30
00CO
c3eg
<£>
en
o4->ITJ
-CCT>
00CVJ
(D3O1
A. 340
ooO)>
OJ
•r- COO COo
i— C(D 3> cc
CD-M-C
M~ cn
i/> LL.QJ
• r~— r»
s- i/>O O)+ J Oi/i e:
••- o>
CMooCMet
OJ
enu_
o o o o oCM -i r-i (\J
I I (s/ui)
o o a a oCM ~* —4 (M
I I
A.341
TABLE A.70. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 38.
I. Mean Airspeed (m/s)
94.9 94.0 95.7
Standard Deviation ofGust Velocities (m/s)
aWXL
5.75
a
3.41
awxc
5.51
<7WYC
3.48
CTWXR
5.49
3.29
III. Standard Deviationof Gust VelocityDifferences (m/s)
_^CRC
1.351.35
CLCL RC
1.39
1.47
1.35
1.48
1.70
1.43
1.61
a
ZZL.3.26
awzc
3.09
crWZR
3.24
FV. Integral Length Scale (m).
xc
\L
680
YC
719
1140 1123 1128
813
wWZR77 7f*
249 267 246
A. 342
R^'Righ'tC = Center W
= Left
\ \ r
N
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.283. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 38.
A. 343
c
'u
<uouflo
01s-l!-,OU
0. 1000. 2000. 3000.
Spatial Lag ,S=VT(m)
3000.
Figure A.284. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 38.
A. 344
ORIGINAL PAGE ISOF POOR QUALrTY
WXRC
ao_CO~soo
oa,io
1000. 2000.
Spatial Lag ,S=VT(m)
Figure A.285. Two-point auto-correlation coefficient of gust ve'Flight 6, Run 38.
A.345
102 r
10°
10-i
b
S"
10*
10o
10"
10°
10-
von KarmanN= 512SEG.= 5
Wy
—von KarmanN= 512SEG.= 5
•von KarmanN= 5125EG.= 5
I mini i i jiniit I i mini I I nun
von KarmanN: 512SEG.= 5
Wy
von KarmanN- 512SEG.= 5
von KarmanN= 512SEG.= 5
von KarmanN= 512
EG.= 5
— von KarmanN= 512
V SEG.= 5
' YR
von KarmanN- 512SEG.= 5
W,
10-2 10° 0~2 10°
K = u/V (m"1)
10~8 10°
Figure A.286. Normalized auto-spectra of gust velocities, Flight 6, Run 33,
A. 346
102
liTKT1 10°
io-z
102
6"bT 10°
10-
10*
6"*b~ 10°
io-a
N= 512SEG.= 5
WXCL
N= 512SEG.= 5
wYCL-V
N= 512SEG.= 5
N= 512SEG.= 5
WXRC
N= 512SEG.= 5
N= 512SEG.= 5
WZRC
N= 512SEG.= 5
WXRL
,,,,,1,1
N= 512SEG.= 5
NYRL
N= 512SEG.= 5
WZRL
ID"2 10° 10~2 10° 101-2 10°
Figure A.287. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 38.
A.347
w x w z W X W Y
108
10°"
io
Ifrf"
rr
—LL—-LC—LR S-F
~ i i utirj | i irntJ i i limit i i until
LL
—- LCLR
J i i Mini i i mill i i imtJ
rr
•• r
M,,I| i i ..... ,\ i mmil i.M.J
108
._ 10°•e-
10-8 rrr
10*
io-8
io-210° 10'8 10°
K = co/V (10,-8 10°
Figure A.288. Two-point cross-spectra of gust velocities, Flight 6, Run 38.
A. 348
TABLE A.71.
ORIGINAL PAGE ISOF POOR QUALTTY
List of All Parameters Measured and Their Range of Values,Flight 6, Run 38.
S T A R T T I M E • 55778.4101 STOP TINE - 55«5<..5601
CHANNFl? PHI 'OOT3 A C C l N CG<• THITA DOT5 T H £ T 4f> PHI7 PSI 1* PEL PSI 1o PSI 2
10 DEL PSI 211 A C C L N LT12 A C C L N RT13 A C C l X CG!<• ACC l Y CG15 A L P H A CTR16 H E T A CTR17 T E M P IId TEMP PI? A C C l Z INS20 A L P H A PT21 B E T A RT22 A L P H A LT23 B E T A LT24 PSI DOT25 T E M P TOT26 QC LT?7 OC CTR2:* OC PT29 PS30 TEMP IRT31 0 TO G3' 8 TC 033 LONG3=. L AT35 TRK ANG3s HOG3 7 V E3 K V N3* A L T I T U D EO T E M P C41 EM WSO SPD<.? NS WNO SPO••3 W I-ir S F E £ D<•- *IND O I P E Ci --- * I S S P E I ? R*', A l f r S P H O C47 A I R S P E E D L4 3 D E L T A A L T49 ISPTL PISP50 UG PIGHT51 UG C E N T E R ""52 UG IEFT53 VG PIGHT5 4 V G C E N T E R5-J VG I E F TV WG «K,HT5 7 W G C E N T E R "5 ? K G L E F T
UNITS HIGHR A D / S E C .185G UNITS -.988R A D / S E C .099R A OFADD E G R E E SD E G R E E SD E G R E E SDEGREESG UNITSG UNITSGUNITSG UNITSR A DRADDEC FDEG FG UNITSRAORADRADRADRAD/SECDEG CPSIDPSIDPSIDPSIAOEG CP E T E R SD E G R E E SD E G R E E St t G P E E SD E G R E E SR A D I A N Sf / S F Cr / S E CKMD E G R E E SK N O T Sf H Q T SC ' l O T ST F G M E Sf / S e CM / S i CN/SF.CMETERSKETERSM / S E CC / S E Ch /SECK / S E CM / S E CK / S E CM / S E CK / S E CM / S E C
.142
.093197.79713.102
560.0127.6662.7282.653
.225
.165
.107
.08584.77293.242
1.997.119.111.111.078.097
31.194.772
LOU-.203-.988-.089
.017-.172
188.267-1.357
545.930-1.566-1.017-1.234-.001-.181-.111-.116
84.41292.883
.059-.119-.077-.095-.127-.062
28.733.449
HE AN-.00422-.98774
.00526
.06705-.007.69
192.609103.87888
550.993832.621231.005241.01784
.09954
.01078-.0023?-.01296
84 .5636093.06622
.99955
.OC594
.02074
.00727-.02040
.0038530.04202
.62099
RMS POINTS" .05195 3046
.9B774 3046
.02003 3046=09250 3046.04553 3046
192.61851 30465.26117
551.004613.392721.066511.08046
.10879
.04264
.02641
.0403684.5836693.066221.01761
.02989
.04011
.02836
.04077
.0279830.04632
.62492.751 .457 .61003 .61371.816 .477 .63242 .63615
11.600 11.549 11.57711 11.5771219.515 8.063 17.18616 17.30297
8787613.2108785335.744**********************80.653
-104.47439.798
188.1763.466
-8.060-106.080
1.986C 26.281
38.766-12.406
64.639359.190108.577104.174105.62429.96724.43512.79613.17213.386
9.31210.14711.67913.24311.65311.716
80.646-104.486
39.724184.097
3.298... -15.5P.3
-118.1571.951
24.919-2.099
-59.97113.712
. 3 7 68 3 . 4 5 281.77580.992-4.967-1.819
-13.866-11.294-12.019-7.958-6.189-8.140
-12.711-10.150-10.399
80.64962-104.47962
39.76100186.53306
3.37798-12.5107B
-108.525441.96700
25 .6273820.76440
-33.SCB4941 .2P316
326 .2?6059 5 . 7 2 3 7 594.0*19794.8589010.680199.29277
.00000
.OOOOC
.00000-.01110-.00670-.00758
.04382
.04700
.04061
80.64962104.4796239.76100
186.535013.37815
12.63522108.55997
1.9670125.6P81722.1855335.831734 2 . 1 4 3 9 3
326 .8020595 .8624194.1817695.0080713.6423012.111936.402116.365366.573863.120673 .295843.233973.267523.112613.27416
3046304630463046304630463046304630463046304630463046304630463046304630463046304630463046304630463046304630*6304630463046304630463046304630463046304630463046304630463046304630463046304630463046304630463046
A. 349
ri
O) -4->ce (0
Q.cO 4->
• o» !'•- L
-3
UlCM •—*o20 £- =Ti O O
QJU')l
— oo>*, >•)
Q t^Q
O Oo oo oen co
ORIGINAL PAGE ISOF POOR QUALITY
(63p)
OOor*-
oooVD
o—1 "3-
- O
O
ir>T
CO
cr>
CO
cu
OOOLO
\ I V-CTvCO
en
co
ro
o
V''
CTiCOCM
eC
CLI
A.350
ooo
13CT)
(O
to<H
•i- O1o roo
i— CCD 3> or
en
to u_cuil toO O)4-* OtO C•i- O)
<DQJ M-
OCTi00
cu
cn
o o o o o(\J ^H •—I (\J
I I
A.351
Figure A.291. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 39.
I. Mean Airspeed (m/s)
R
107.1 106.0 107.9
II. Standard Deviation ofGust Velocities (m/s)
aWXL
5.93
aw.xc
5.75
aWXR
5.82
aWYL
3.06
aWYC
3.08
aWYR
3.04
III. Standard Deviationof Gust VelocityDifferences (m/s)
XRC XRL
1.13 1.17
AMYCL A\RC
1.10 1.10
°AW °AWr«i '7D/-'
UVU LlK\s
1.31 1.29
1.43
iRL
1.15
°A¥ZRL
1.47
CTWZL
2.84
awzc
2.69
WZR
2.84
IV. Integral Length Scale (m).
Sr
1337
Sr
806
L¥V
776
Sv
1335 1349
\c V811
ZL
265 287 258
A.352
1.0 i \ i i i r
W
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1-RC2-CL3-RL
A N
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.292. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 39.
A.353
a•i—*o
do3d
»—4
0?
1.
0.
-i.
_L
-I.0.
WYLj i i
1000. 2000; 3000.
Spatial Lag ,S=VT(m)
WZR
Wzc
WZL
4000.
Figure A.293. Single-point auto-correlation coefficient of gust velocit ies ,F l igh t 6, Run 39.
A. 354
V'o<Ttt*j0)ooc.21Z3
—"l>
Oo
_co
o£E-
ORIGINAL PAGE ISPOOR QUAUTY
WXRC
WZRC
T\ -r
r :
WZRL
10CG. 2000. 30:;G. ^CCG.
Spatial Lag ,S-VT(m)
Figure A.294. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 39.
A.355
108
10°
10'!r
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
WHL
von KarmanN= 512SEG.= 6
mil i ..mill i i....ill i 1,11.
von KarmanN= 512SEG.= 6
von KarmanN= 512SEG.= 6
•—von KarmanN= 512SEG.= 6
—von KarmanH- 512SEG.= 6
W\
—von KarmanN= 512SEG.= 6
10~8 10° 10~8 10°
K = <y/V (nT
10°
Figure A.295. Normalized auto-spectra of gust velocities, Flight 6, Run 39,
A. 356
ORIGINAL PAGE ISOF POOR QUALTTY
" 10°
10-a r
102
~ 10° r
10-2
10s
10°
10-
N= 512SEG.= 6
WXCL
N= 512SEG.= 6
VYCL
N= 5125EG.= 6
V,. "ZCL
rI i i mini
N= 512SEG.= 6
N= 512
WYRC
N= 512SEG.= 6
WXRL
N= 512
3EG.= 6
W YRL
ZRC
i i i iK i r l i MIIIII i IIIKII!
1Q-* 10° 10"z 10°K = u/V (m
10" 10°
Figure A.296. Normalized two-point auto-spectra of gust velocit ies,Flight 6, Run 39.
A . 3 5 7
ORIGINAL PAGE ISOF POOR
w x w z
•e-
•6-
i t mill i i nnJ i i imiJ i 11 mil tJiiinii i 11 mm. _i_iiiiBil tiiinii
10- 10~z 10°K = 04/V (
10,-8 10°
Figure A.297. Two-point cross-spectra of gust velocities, Flight 6, Run 39,
A. 358
ORIGINAL PAGE ISOF POOR QUALITY
TABLE A.72. List of All Parameters Measured and Their Range of Values,Flight 6, Run 39.
START TIME • 55905.2702 STOP TINE • 95987,6202
CHANNEL? PHI DOT3 A C C L N CG4 T H E T A DOT5 T H E T A6 PHI7 PS1 1ft DEL PSI 19 PSI 2
1C DEL PSI 211 A C C L N LT1? A C C L N RT13 A C C L X CG!<. A C C L r CG15 A L P H A CTRI t B E T A CTR17 T E M P I11' T E K P P1<V A C C L Z INS2 0 A L P H A R T21 B E T A PT? ? A L P H A L T2 3 B E T A L T2 <• PSI DOT25 TEf lP TOT?!S OC LT?7 OC CTP2 8 O C R T29 PS30 TEHP IRT31 D TO G32 B TO 033 LONG34 L AT} •> TRK ANG3i> HOG37 VE33 VN39 A L T I T U D E40 T F M P C<>! EU UNO SPO42 NS WNO SPO<O *IND S ^ E F O<•<• » U-D D I P E C- ' A I V ': ? E 1 (. «
-- » it!»:it c4? A I R S P E E D L< • » D E L T A A L T49 INPTL DISP50 UG R I G H T51 UG C E N T E R5? UG L E F T5 3 V G R IGHT5 4 V G C E N T E R5 t VG I F F T5 6 W G R I G H T5? UG C E N T E R5 - W G L E F T
UNITSR A D / S E CG UNITSR A D / S E CPADPADD E G R E E SD E G R E E SD E G R E E SDEGREESG UNITSG UNITSGUNITSG UNITSR A OP A DDEG FOFG FG UMTSPADPADPADPADP A D / S E CDEG CPSIDPSIDPSIOPSIADEG CM E T E R SDEGREESD E G R E E SD E G P E E SD E G R E E SPADIANSr« /SFCP / S E CKND E G R E E S CKNOTSKNOTSK N O T SD f G P E E Sf / i f C* / S F CH/SECMETERSH E T C R SM/SECM / S E CM / S F CM / S E CM / S E CM / S f CM/SECM / S E CM / S E C
HIGH.172
-.<)8e.072.lie.106
338.3293.<)61
337.1603.7262.3302.A76
.130
.175
.045
.08684.40993.242
1.641.048.101.049.085.062
32.277
LOW-.154-.986-.064
.003-.106
330.940-3.327
329.774-3.536
-.556-.402-.012-.187-.107-.115
83.69393.062
.225-.109-.079-.107-.105-.054
29.816
MEAN-.00237-.98774
.00582
.05137-.01141
335.03794.83103
333.89185.61627
1.010411.02234
.05864
.01240-.02544-.01404
84.0196993.13788
1.00125-.0214(
.01899-.02031-.02040
.0038731.04272
RMS.04220.98774.01914.05789.03592
335.041711.78121
333 .895421.688691.070861.08120
.06468
.04468
.03164
.0310384.0197693.13793
1.01663.03053.03191.02841.03242.02234
31.04845.965 .646 .79508 .79859.936 .640 .77999 .78322.982 .653 .60809 .81140
11.626 11.502 11.59280 11.5926420.918 14.295 17.42756 17.54250
8786506. 17687 83867. 62 7****»*» ***************60.661
-104.47239.789
332.7365.903
-44.83308.191
2.01926.30116.791
l .ORf t4 2 . 3 8 8
359. <37?119.079116.443117.69712.271
9.39611.64711.72011.380
8.7769.4099.2378.0787.0807.472
80.619-104.517
39.726329.602
5.772-48.747
83.0631.932
24.697-22.972-41.946
1.127.010
9 7 . 2 2 29S- .27396.760
-75.207-74.293-13.346-12.156-11.957-8.283-7.626-8.620-8.164-9.264
-10.473
80.64035-104.49450
39.75742331.38115
5.84631-46.83638
85.680671.95609
25.43610-6.53624
-20.94099-23 .305547 2 . 3 f 9 7 5
1 0 7 . 8 7 S 3 81 C 6 . C Z E S 8107.01836-51.00719-50.95554
-,00000-.00000-.00000-.02960-.02785-.02914
.01888
.02525
.0.71B1
80.64035104.49450
39.75743331.38225
5 .8463646.8519985.89522
1.956222 5 . 4 3 7 3 9
9.051882 3 . 5 ? 8 9 825.21010
134 .?040 f107.<?P7f,91 Of!. 1377 3107.1351555.5501156.20205
5,706685.636625.821632.974763.014772.996432.824162.674122 .B3194
POINTJ3294329432943294329432943294329432943294329432943294329432943294329432943294329432943294329432943294329432943294329432943294329432943294329432943294329432943294329432943 2 9 43'943? I*.3294329432943294329432943294329432943294329432«54
A.359
ORIGINAL PAGE ISOF POOR QUALfTY
10 IHI +->o: ro
CL.
O -t->•r- J=•*-• cr, iu •'- t-tl) i—
Q O
'.U
0-5 .01
I: Of
(Bap)
3O
OO
(U
oI
C7>(U
oI
LOo
CTi
CO
O)
J O
I
11
o•vT
c:o
J-o
i enI -
lX_--
A. 360
ooa;
01
"Oc(O
cu
or—O)
O •"-
I/)1),
o cu.o (j(S> C
•r- CU.c s_
01
oo01
<ccu
o o o o ot\J —I r-1 t\J
I I (S/UI) PUT&
A. 361
TABLE A . 7 1 . Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 40.
I. Mean Airspeed (m/s)
R
105.8 104.6 106.4
II. Standard Deviation ofGust Velocities (rn/s)
aWXL
2.15
aw.xc
2.06
WXR
2.14
aWYL
2.85
aw.
2.86
aWYR
2.80
III. Standard Deviationof Gust VelocityDifferences (m/s)
HCL XRC XRL
CT
WZL
3.05
<7W,zc
2.92
aWZR
2.99
0.88
1.01
ZCL
1 . 09
0.97
0.96
ZRC
1 . 05
1.11
HCL HRC XRL
1.04
ZRL
1.27
IV. Integral Length Scale (m).
368
658
Sr
424
613
c
437
*YC V
645
523 556 562
A.362
1. 0 ~~ "i i" I "i
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1-RC2-CL3-RL
A W
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.299. Probability density function for gust velocit ies and gustvelocity differences, Flight 6, Run 40.
A.363
G0)
<uo
eo
OuIo
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
•5000.
Figure A.300. Single-point auto-correlation coefficient of gust veloci t ies,Flight 6, Run 40.
A. 364
£
'3
0)o0
GO
uo
1.
0.
-1.
_j L
WXRC
4_ —i.
WXCL
WXRL
j .
i -~- I
W Y R L
R-'oCL,Io6-
Spatial Lag ,.^=\
Figure A.301. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 40.
A. 365
102
10°
10-t
b\1?
%
5?10o
lO'V
von KarmanN= 512SEG.= 3
Wy
von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
XC
von KarmanN= 512SEG.= 3
von KarmanN= 512SEG.= 3
iinj I I i unit I I I mm I I I mil i I itlilll I I 11 unl I I I mill I I I inn i i i 11 ml I I I mill tin lull I i i mill
von KarmanN= 512SEG.= 3
WXR
— von KarmanN= 512
v- SEG.= 3
von KarmanN= 512
.= 3
1Q-8 10° 10~8 10°
K = u/V (m
10" 10°
Figure A.302. Normalized auto-spectra of gust velocities, Flight 6, Run 40.
A. 366
ioa ;
6"1
6" 10°
1< 2
10s
6""b~ 10°
10s
•e- 10-z
N= 512SEG.= 3
WXCL
N= 512SEG.= 3
N= 512SEG.= 3
WZCL r
I I innj i i mull i I < mill i i iin
N= 512SEG.= 3
WXRC
N= 512SEG.= 3
WYRC
N= 5125EG.= 3
WZRC
N= 512SEG.= 3
WXRL
N- 512SEG.= 3
N= 512SEG.- 3
WZRL
iini j pirnt t i ^HUI t_i_iiitn i i min ....... ' - I.I Illlll — '
10~8 10° 10~8 10°K = u/V (m
10°
Figure A.303. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 40.
A. 367
W X N Z
102
^•6«'
10-2
—LL
—• LC—LR
W x W Y
i
rt" - vlIT
r r
r f
'iiinitj imntj iininft ..... m
• Tfrf
-LL
-LC
-LR
10
"_ 10°
10
rr
ml , ,,i,,,,l i. ,,11.1 II I
' CL
I in! i i mini i i in ml i i ninJ
FIT
RL
—-RC
io-z 10°,,,J ,,,„„! i ,,J
ID'8 10°
K = cj/V (nic 8 10°
Figure A.304. Two-point cross-spectra of gust velocities, Flight 6, Run 40.
A. 368
ORIGINALPOOR
TABLE A.72. List of All Parameters Measured and Their Range of Values,Fli.ght 6, Run 40.
S T A R T TIME • 96010.3354 STOP TINt
CHANNEL. ; HI DOT3 ACCL N CG<• THETA DOTS THETAh ''HI7 PSI 11 DEL PSI 19 PSI 2
10 OEl PSI 211 ACCL N LT1? ACCl N PT13 ACCL X CG14 ACCL Y CG1 '" ALPHA CTRIt BETA CTR17 TEMP Ilr TEMP P13 4CCL Z INS?c ALPHA PT21 BETA RT?? ALPHA LT23 BETA LT?<• PSI 03T?v TEMP TCT-V. OC IT?7 OC CTR? 3C RT23 PS30 TEMP IPT31 D TO G3? 8 TO 0•>3 LONG34 L AT-"> TPK AMGJK HOG-.7 VE3rt VN?<V ALTITUDE-: TEr.PC41 Ek kNO SPD<•:• NS kNO SPO<.3 WI'P SPrFD-<• WI.'-C OI»£C• A I K S P £ t C P- ; A I P 5 P 1 1 0 C<•? AIRSPEED L<•" DELTA ALT45 INRTL DISPb: UG BIGHT5l"L!G CENTER'..? UG I EFT53 VG RIGHT5<. VG CENTER5v VG LEFT*~. WG PI GUT57 kG C E N T E R','. W G 1 E F T
UNITSRAO/SECG UNITSPAD/SECKAORAODEGREESDEGPEESDEGREESDEGREESC- UNITSG UNITSGUN ITSG UNITSRADPAPDEC FCEG FG UNITSRADRADRAORADPAD/SECPEG CPSIOPSIDPMOPSIATEG CMETERSCEGFEESPEGPEESP'GREtSPECRfESRADIANSM/SECM/SECKM
fiCPEES CKN3TSKNOTS>SflTlC f G F E E S-/SECM/SECM/SECMETERSMETERSH/SECM/SECf/SECM/SECM/SECM/SECM/SECM/SECM/SEC
HIGH.179
-.988.058.128.0666.1352.493
364.2752.3152.2302.140.200.153.053.058
84.05393.2421.558.067.079.058.047.066
31.096.679.86?.835
11.63417.050
LOW-.146-.988-.051.013
-.058.197
-3.356358.290-3.595-.527-.122.007
-.145-.080-.10083.69393.062
.525-.071-.056-.065-.100-.04729.520
.645
.614
.64611.57613.212
MEAN-.00267-.98774.00505.04891.00414
3.26515-.48054
361.27731-.716801.016541.02990.07273.01367
-.02279-.0131883.6877393.170671.00885-.01971.01963
-.01607-.01774.00393
30.37338.77702.75952.78587
11.5934715.65904
RMS.03714.98774.01624.05807.02405
3.576341.51600
361.280051.605201.055491.06547.08177.04644.02794.03069
83.8878393.170711.01933.02614.03161.02290.03064.02554
30.37563.77858.7610P.78748
11.5934815.69241
P 78 5262. 59287 8384 3. 44 3*»***»* ****+*•****»***80.612
-104.51539.8577.872.12?
14.054108.191
1.96625.56418.7398.27719.237
359.950112.823111.370112.43932.07428.6635.0464.8385.4886.2256.7616.4175.8245.7146.267
80.6C8-104.522
39.8C93.470.017
5.93697.9001.9?8
24.006-16.000-12.067
.379
.04996 . t \ 094.27896.532-8.112-7.178-6.615-5.778-5.P40
-10.546-10.882-10.571-10.724-10.528-11.191
80.60972-104.51675
39.832496.06472.06642
11.133d3103.610921.95561
24.920455.0<5ie9
-1.24068~ 8.16661249.1S360106.37677104.61910105.7912619.7352718.49654-.00000".OOOGO.OCOOO
-.00650-.00893-.007513.06696.06524,0t250
80.60972104.5187539.832496.20982.0731P
11.42302103.6<:'89fr1.95564
24.9214P7.819284.298018.9??67
262.917731G6..4M53104.t)728P105.8443822.4733321.155552.238752.176322.220412.9675P3.027343.011352.841892.744102.86020
POIN1£. '-• 2 1
20512051205120512051205120512051205120512051205120512051205120512051205120512051205120512051205120512051205120512051205120512051205120512051?0512051205120512051201:12051?OS12051205120512051205120512051205120512051205120512051
A.369
OF POOR
Ol>
10 !•— .c hO» 4J j
O 4J
s_ u.Q O
-U•a
J L
(6ap)
O
"II
1 I
en
: oI -t—
O>
, Lf5O
u, <—• Ia*CO
en(U
\
r v /
o;r,
10+->i
CD ,'
CO
i.o
a.
LO
Oro
<C
Ol
A. 370
B
o
<C
2~o
cja:>-
{
i
£ 1£ -3 :
-^
i i
-
i
r
i
~
-
f
ot\s_4
oo1— t
oCO
oCD
CDf
Ofvj
'c?0>CO
0)
pi
I 1 1 L.1 i i I
cex3
g ccx
O(NJ
ao
oCO
oCO
o*r
O(SJ
i i t
o o o o o<M « r-< CM
I I
o o o o oCM . —4 <M
oo
to3cn
tod)
0 «=j-o
1 — c:O) 3> o:
to 103
t- cno ••-to u_QJ
*r~ *^s- toO O)-P UCO C
•t- OJ: s_
O)0) <*-e «*-
•I*- 'I—
I— T3
OCO
3cn
(s/tu) paadg
A.371
TABLE A.74. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 41.
I. Mean Airspeed (m/s)
105.1 104.1
R
106.0
III. Standard Deviationof Gust VelocityDifferences (m/s)
XCL XRC
1.01
0.95
1.02
CL A\RC
0.97
1.11 1.17
1.24
1.04
1.31
Standard Deviation ofGust Velocities (m/s)
<7WXL
2.43
aWYL
2.08
aWZL
2.44
(7wxc2.40
aWYC
2. 10
crwzc2.31
aWXR
2.47
aWYR
2.06
CTWZR
2.49
IV. Integral Length Scale (m).
\L \
905
V
706
876
715
911
802
ZL ZC
237 260
ZR
235
A.372
1.0
0.8
i rR'=' r i igh'tC = Center WL = Left
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.307. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 41.
A.373
<u•*^o
<UO
o33
afcouIo
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
WOO.
Figure A.308. Single-point auto-correlation coefficient of gust velocities:Flight 6, Run 41.
A.374
WXRC
V
cSco
EouI
•0,
i
o. 1000. 2000, 3000.
Spatial Lag ,S=VT(m)
4000.
Figure A.309. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 41.
A.375
von KarmanN= 512SEG.= 8
10*
10°
10~s
—von KarmanN= 512SEG.= 8
•von KarmanN= 512SEG.= 8
,1 .11,,,,.
von KarmanN= 512SEG.= 8
Wxc
—von KarmanN= 512SEG.= 8
von KarmanN= 512SEG.= 8
, .1 1 , , ,,,,,J , ..mill
—von KarmanN= 512SEG.= 8
—von KarmanN= 512SEG.= 8
Wv
—von KarmanN= 5125EG.= 8
W,
10~8 10° 10~8 10°
K = u/V (m
10°
Figure A.310. Normalized auto-spectra of gust velocities, Flight 6, .Run 41
A. 376
102
10*
- 10°
108
b~*b" 10°\S
N= 512SEG.= 8
WXCL
N= 512SEG.= 8
v+•"•*.
N= 5125EG.= 8
i uiiiJ i i i uiiJ i ii mill
N= 512SEG.= 8
WXRC
ill i in uj i i i mill
N= 512SEG.= 8
YRC
\
, ....... 1 , ...... ,1 , ,,,,,,,1
N= 512SEG.= 8
WZRC
N= 512SEG.= 8
WXRL
N= 512S^G•— 8
*
*v,
N= 512SEG.= 8
. WZRL
10° io~8 10°/c = u/V (m
10,-B 10°
Figure A.311. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 41.
A.377
w x w z
•e-:=•
102
10°
10,-a
IF
r r
ifr r
—LL—-LC—LR
w x w y
v^fc»m%
— LL
.••
•e-
r r
r i i iiiml t i M mil i i uiutl i i iniiJ
CL
-—CC—CR
"-pi imnJ i niniJ i iiiuj i iiimil
rrrf
rr
' i iintiii i i mini i i iiiml I I uiiij
RL
—-RC—RR
rr \
rr
" i ninJ i tinJ iiinij i i mm i mini i until t i HUH i l ima ' i niiittt i i i u i m i numl i mini
101-8 10° 10~z 10°K = u/V (
101-8 10°
Figure A.312. Two-point cross-spectra of gust velocities, Flight 6, Run 41
A. 378
TABLE A.75.
ORIGINAL PAGE ISOF POOR QUALITY
List of All Parameters Measured and Their Range of Values,Flight 6, Run 41.
STAPT TIfE 56114*5905 STOP TINE • 56223.5155
CHANNEL2 PHI DOT3 ACCl N CC4 THETA DOT5 THETA6 PHI7 PSI 16 OFL PSI 19 PSI 2
10 DEL PSI 211 A C C L N IT12 ACCL N RTJ3 ACCl X...C514 ACCL Y CG15 ALPHA CTR _16 B E T A CTR17 TEMP IIB TEMP P19_ACCL,1 INS__20 A L P H A PT21 B E T A RT22 ALPHA LT23 BETA LT24 PSI DOT25 TEMP TOT26 OC IT27 OC CTR26 OC RT29 PS30 TEMP IRT31 D TO 632 B TO 033 LONG34 LAT39 TRK ANG36 HOG37 VE3d VN39 ALTITUDE40 TEKPC41 EU UNO SPD42 NS UNO SPD43 WIND SPEEO44 t f lKC DIBEC-' i l PSFE IG 9-i U tSPEf 0 C47 AIRSPEED L48 DELTA ALT49 INPTL OISP50 UG RIGHT
"5fUG CENTER52 UG lEFf53 VG RIGHT54 VG CENTER "55 VG LEFT56 UG PIGHT57 WG CENTER58 UG IEFT
UNITSRAD/SECG UNITSRAD/SECRADRAODEGREESDEGREESDEGREESDEGREESG UNITSG UNITSCUNITSG UNITSPADRADOEG FDEC FG UNITSRADPADPADRAORAO/SECDEG CPSIOPSIDPSIOPSIADEG CPETERSDEGREESDEGREESDEGREESDEGREESRADIANSH/SECM/5ECKMDEGREES CKNOTSKNOTSKNOTSC E G P E E S* / S E CC / 5 C CP/SECMETERSPETERSM/SICM/SECH/SECM/SECM/SEC "M/SECM/SECM / S E CM/SEC
HIGH.195
-.986.076.087.135
164.3361.081
522.695.766
2.6102.607
.168
.171
.077
.06964.05393.242
1.670.093.083.086.038.045
33.163.923.906.929
11.64420.119
low-.264-.986-.068
.009-.167
156.346-4.654
517.063-5.154
-.487-.597-.005-.166-.090-.078
83.69393.062
,343-.089-.035-.084-.078-.035
28i930.636.622.648
11.47613.212
NEAN-.00222-.98774
.00607
.04613-.01356
161.19206-1.9596C
519.77113-2.25919
1.016371.02977
.05129
.01116._._ -.02254
-.0148583.8952393.23297
1.00706-.01504
.01671-.01518-,02066
.00300..31., 19861.
.76579
.75010
.77810U. 6055217.63910
RMS.04297.98774.01724.05054.03833
161.196592.29254
519.772452.552041.065921.07588...05566
.04804
.02671
.0258563.8952993.23298
1,0208?.02499.02674.02465.02820.01679
—111, 2078 5.76743.75178.77986
11.6055317.92344
8790627.0728787803.405**********************80.689
-104.42639.843
159.9192.667
46.972-101.787
2.03627.23238.152-.365
40.733334.831115.^65114.320115.37165.825
0.0005.2705.8475.1907.8167.6446.4079.5868.5248.609
60.632 60.66049 80.66049-104.482 -104.45448 104.45448
39.739 39.79119 39.79120156.300 157.58712 157.58868
2.761 2.81306 2.6131536.004 43.76572 43.64302
-109.3071.921
24.0436.096
-24.86610.891
271.11397. CIO95.08696.260
-49.786-51.255-6.931-7.793-7.325-6.556-7.428-6.326
-10.109-8.568-9.651
-105.945671.94723
25.6017022.65012
-13.56281-26.67774SCO. 90150105.95941104.07812105.14001-23.42937-25.80172
.00000
.00000
.00000
.00916
.01171
.00985-.01669-.01234-.01640
105.972561.94726
25.8076523.1467814.1936427.15214
301.0?f87106.0U0310«i. 133P*105.19363
25.5782627.70937
2.435282.375482.414262.15967
" 2 . 2 0 9 4 92.203792.466672.286152.42076
POIHTS43574357435743574357435743574357435743574357435743574357
. 4 3 5 743574357435743574357435743574357
._..4357435743574357435743574357435743574357435743574357435743574357435743574 3 5 74 3 5 74 3 5 7* 3 5 7435743574357435743574357435743574357435743574357
A.379
ORIGINAL PAGE ISOF POOR QUAUTY
O '*"
££
5S•o
10•o
cv c00 *^O01 I— Or- Q O)
^r co c\j^ .. •si-
oo •—>,co3 in ••
<u <u <o•u E i.us •- 3Q t— Q
(6ap)
O>
0 2o oo oen co
ooor-
oooVO
O
I
CT(U
01
o
ino
cr>co
(Tt
co
(A01
esi
oooin
CM
Ol
!Z«%co4->rO
O
(OQ.
o>
CO
CO
(U
01
A. 380
1 II I I
a:x3
I I I
c
I I I I I
o o o o o(M —. -H (M
>-2<
s!X
oM
OO
OCO
OCO
o
O
O
oO
o OCO <U
CD <D
o(M
o
., O
oo
oCO
oCO
o
otsi
O O O O O(M —i —. (VJ
O
"ol
t/)0)
•i- OvJO 3-O
'a; 3> a:
</> 103O14->
JC4- 0>O -r-
10 Ll_<U
s_ toO OJ•M Oto c
•r— QJ^ s-
OJO) <4-
oo
en
(s/ui)
A. 381
TABLE A.76. Average Turbulence Parameters and Integral Length ScalesFlight 6, Run 42.
I. Mean Airspeed (m/s)
110.3 109.2 111.1
HI. Standard Deviationof Gust VelocityDifferences (m/s)
1.00 1.03 1.24
XCL XRC
0.97 0.98 1.06
n. Standard Deviation ofGust Velocities (m/s)
o~WXL
3.49
aWYL
2.63
aWZL
2.72
V. Integral
awxc
3.43
aWYC
2.69
awzc
2.71
Length
crWXR
3.46
cr
2.67
crWZR
2.83
Scale (m)
\L \C \R
814 790 824
S»YC
2088 2118 21721.16 1.32
461 511 451
A. 382
1.0 i i i | i i i rW
o.o-5. 0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1.0 i i i i | r \ \ r
1-RC2-CL3-RL "
A W
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.315. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 42.
A. 383
IDOU
ao
ooIoI
0. 1000. 2000.' 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.316. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 42.
A. 384
ORIGINAL PAGE ISOf. POOR QUAi/TY
u
"u£3«*-(
0)ooco
"aj
1OUI
I&,
i
i.0.
-1.
0.
-1.0.
-J I i I _J L
1000. 2GOO. 3000.
Spatial Lag ,S=VT(m)
WXRC
WXRL
WYCL
WZCL
WZRL
Figure A.317, Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 42.
A. 385
102
10°
10-'r
102
10°
10-'r
von KarmanN= 512SEG.=10
—von KarmanN= 512SEG.=10
—von KarmanN= 512SEC.=10
IB lit itiin i i i iiiitl i i i mi
von KarmanN= 512SEG.=10
i i mill i i mull i I I mill i
—von KarmanN= 512SEG.=10
Wv
von KarmanN= 5125EG.=10
i i imil i tn mil i i i iiiij i i i
von KarmanN= 512SEG.=10
—von KarmanN= 512SEG.=10
—von KarmanN= 512SEG.=10
I nml i i I mill i iiiinil
10-8 10° \Q~Z 10° icr8
K = <y/V (m-1)
10°
Figure A.318. Normalized auto-spectra of gust velocities, Flight 6, Run 42.
A. 386
10a
66"
102
r 10°
10s
- 10°
N= 512SEG.=10
WXCL'
1 Illlllll 1 umlll 1 ..... Ill
N= 512SEG.=10
N= 512SEG.=10
WZCL
++
N= 512SEG.=10
WXRC
N= 512SEG.=10
N= 512SEG.=10
N= 512SEG.=10
WXRL
. . u in i l i , miiil I . I i ,mil
N= 512SEG.=10
,,, mil
N= 5125EG.=10
WZRL
10-8 10° io~8 10°K = u/V (m
ic 2 10°
Figure A.319. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 42.
A. 387
*e<
io
10,-a 10° 10° 10" 10°K = u/V
Figure A.320. Two-point cross-spectra of gust velocities, Flight 6, Run 42
A. 388
TABLE A.77. List of All Parameters Measured and Their Range of Values,Flight 6, Run 42.
START TIME • 56283.4507CHANNEL . UNITS HIGH
2 PHI OOT3 ACCL N CG ....4 THETA DOT3 THETA6 PHI7 PSI 18 DEL PSI" 19 PSI 2
10 DEL PSI 211 ACCL N LT12 ACCL N RT13 ACCL X CG14 ACCL r CG15 ALPHA CTR16 BETA CTR17 TEMP I18 TEMP P19 ACCL Z INS; ...20 ALPHA RT21 BETA RT22 ALPHA LT23 BETA LT24 PSI DOT25 TEMP TOT?6 OC LT27 OC CTR?8 OC RT29 PS30 TEMP IRT31 0 TO G32 B TO D33 LONG34 L*T35 TRK ANG36 HDG37 VE38 VN39 ALTITUDE40 TE*PC41 EM MNO SP0
43 •I-«0 SPEED44 tolND U J O t C
«6 AlSSPEfO C47 AIRSPEED I48 DELTA ALT49 INRTL OISP50 UG RIGHT51 UG CENTER52 UG LEFT53 VG RIGHT54 VG CENTER55 VG LEFT56 KG MGHI57 WG CENTER58 KG LEFT
RAD/SECG UNITSRAD/SECKADRADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUN ITSG UNITSRADRADDEC FDEG FG UNITSRAORADRADRAORAD/SECDEG CPSIDPSIDPSIDPSIADEG CMETERSDEGREESDEGREESDEGREESDEGREESRACIAKSM/SECM/SECKMDEGREES CKNOTSKNOTSKNOTSDEGREESM/SECM/SECM/SECMETERSMETERSM/SECM/SECM/SECM/SECM/SECM/SECM/SECM/SECM/SEC
.138-.988.097.105.066
330.5874.667
329.4224.5782.6822.875.184.206.033.047
83.69393.4221.734.046.083.053.041.074
33.360
STOP TIMELOW-.162-.988-.072.004
-.102322.838-2.972322.029-3.095-1.189-.740-.016-.159-.129-.10483.15393.242-.C29-.133-.061-.124-.107-.04729.520
• 56423.6007
MEAN RMS POINTS•.00265-.98774.00613.04763
-.01209326.980841.15246
326.087711.011411.013211.02660.05184.01174
-.03043-.0162883.3693493.250971.00453-.02804.01666-.02711-.02246.00343
31.59253
.03744
.98774
.01818
.05252
.03206326.983481.73963
326.090231.652041.071281.08265.06614.04861.03583.02841
83.3694293.250961.02099.03527.02695.03390.03089.02006
31.609511.096 .621 .84609 .052061.071 .623 .82872 .634461.118 .664 .85894 .8647811.628 11.566 11.59495 11.5949620.119 6.907 16.19509' 16.46314
8787725, 3768760405. 299*«******»* *«*»***«****80.666
-104.46139.852324.2095.765
-61.56294.5641.97427.805-1.28510.40134.969133.063126.395123.772125.129
.1620.0009.8359.23210.3047.6698.2888.0619.3489.4328.829
80.571-104.57239.741320.7425.629
-71.76280.6551.93123.602-28.6C6-28.6715.4273.7/398.44495.44695.282-43.030-41.333-9.772-9.407-9.043-8.354-8.C53-8.403-8.789-8.853-10.260
80.61816-104.5161839.79765322.437915.70170
-66.7459986.866991.9545825.64363
-16.14936—10.3023720.447436C.22U36111.08026109.15326110.26046-19.74658-18.71720-.00000-.00000-.00000-.03780-.03310-.02826.02436.03277.01775
80.61817104.5161839.79766322.439355.7017566.6343586.983771.95460
25.6627516.6462012.7316520.9566864.02796Ul. 25600109.32959110.4412621.8787521.309543.505383.477023.539212.613372.625782.571092.936212.885092.85266
56865686568656865686366656865686568656865686568656865666568656865686568656t3656865686568656865686
"568656863686568656865686568656865686568656865686568656665686568656865686
56865686568656865686568656865686568656865686568656865686
A. 389
ORIGINAL PAGE ISOF POOR QUAUTY
V
•2.C<U 4J01 as
D.CO -»-»••- -C*J D>O "-O) r-
Q O•M
-o
1 1
C\J
•o
I I
(U
O 3
C\J
tr>O
CO
(Bap)
Q "2" 0<C^ W
CO?§»5r~in "
(U 4) <O4J E 5-03 •- £Q j— Q
o>
i.3oco
<ot-tt)
ooo
ooo00
OOorv.
ooo
*C-> O
CTV
00
o»
IE
CO
C\J
ooom
ro
oM-c
03Q.
CMro
O)s.3CD
A. 390
oCDVI
<L>
OO
CD>
3cn-oc.to
0)
•r- COo •*o
CT)
CU•i— **i.. i/>o cu-!-> 0t/1 C
•r- CU.E S-
01cu *•-
C\JOvJ
cu
A.391
Figure A.323. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 43.
I. Mean Airspeed (m/s)
102.7 101.7 103.5
II. Standard Deviation ofGust Velocities (m/s)
WXL
4.82
aWYL
3.50
a
4.74
aWYC
3.48
crWXR
4.85
CTWYR
3.35
III. Standard Deviationof Gust VelocityDifferences (m/s)
1.16 1.24 1.49
1.24 1.25 1.39
ZRC
1.48 1.52 1.59
3.00
wzc2.88
(7WZR
3.09
IV. Integral Length Scale (m).
S
Sr
1107 1082 1080
2322 2226 2336
505 581 479
A. 392
1.0
0.8
0.6•PH.0
0.2
R = Righ'tC = Center w
L = Left
o.o-5.
I I I I | I I I I
W
i _ij_rffl i I i 9^' '
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.324. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 43.
A.393
a0)
<uoudo
<uSit*ou
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.325. Single-point auto-correlation coefficient of gust velocit ies,Flight 6, Run 43.
A. 394
ao>
ooco
Io
R'SPu,IO
E-
0. 1000. 2000, 3000.
Spatial Lag ,S=VT(m)
30CG.
Figure A.326. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 43.
A. 395
108
10°
10-
von KarmanN= 512SEG.= 8
von KarmanN= 512SEG.= 8
i i i mm i i i
von KarmanN= 512SEG.= 8
Illlllj ' llllllJ 1 I I mill i i I inn
von KarmanN= 512SEG.= 8
Ny
—von KarmanN= 512SEG.= 8
Wy
von KarmanN= 512SEG.= 8
i 11innl
von KarmanN= 512SEG.= 8
WXR
—von KarmanN= 512SEG.= 8
von KarmanN= 5125EG.= 8
i mini i I 'I I i """I i I mull
ic 8 10° Q-8 10°
* = <y/V (m-1)
io-8 10°
Figure A.327. Normalized auto-spectra of gust velocities, Flight 6, Run 43,
A. 396
108 r
* 10-2
102
•e- 10-s
108
•e<
N= 512SEG.= Q
WXCL
N= 512SEG.= 8
WYCL
N= 5125EG.= 8
N= 5125EG.= B
WXRC
N= 512SEG.= B
N= 512SEG.= 8
N= 512SEG.= B
WXRL
N= 512SEG.= B
WYRL
N= 5125EG.= 8
10° io~8 10°K = u/V (m
10' 10°
Figure A.328. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 43.
A.397
w x w z
•e<
•e-10
10*
io-8
10-* 10°
'lllllJ lllllllJ . lll.llj Illlllj
10~B 10°ic = Q/V (r
10~8 10°
Figure A.329. Two-point cross-spectra of gust velocities, Flight 6, Run 43.
A. 398
ORIGINAL PAGE ISOF POOR QUALTIY
TABLE A.78. List of All Parameters Measured and Their Range of Values,Flight 6, Run 43.
START TINE • 96470.4260 STOP TIME • 56585.6010
CHANNEL2 PHI DOT3 ACCL N CO4 THETA DOT5 THET46 PHI7 PSI 18 DEL PSI 19 PSI 210 DEL PSI 211 ACCL N LT12 ACCL N RT13 ACCL X CG14 ACCL Y CG19~ALPHA CTR16 BETA CTR17 TEMP I18 TEMP P19 ACCL Z INS20 ALPHA RT21 BETA RT22 ALPHA LT23 BETA LT24 PSI DOT25 TEPP TOT26 QC LT27 OC CTR?8 OC RT29 PS30 T IMP IRT31 D TO G32 B TO 033 LONG34 LAT35 TRK ANG36 HOG37 VE38 VN39 ALTITUDE40 TEMPO41 EM UNO SPO42 NS MNO SPO43 UNO SPEED«•<• Wlr«0 OI»EC ""45 »l-SfeED B46 MSS^tO C47 AIRSPEED L48 DELTA ALT49 INRTL OISP50 UG RIGHT51 UG CENTER52 UG LEFT53 VG RIGHT "54 VG CENTER55 VG LEFT56 WG RIGHT57 WG CENTER58 HG LEFT
UNITSRAD/SECG UNITSRAO/SECRAORADDEGREESDEGREESDEGREESDEGREES "G UNITSG UNITSGUNITSG UNITSRADRADOEG FDEG FG UNITSRADRADRADRAORAO/SECDEG CPSIDPSIOPSIOPSIADEG CMETERSDEGREESDEGREESDEGREESDEGREESRADIANSM/SECH/SECKMDEGREES CKNOTSKNOTSKfiCTSDEGREES""""H/SfcCK/SICH/SECMETERSMETERSM/SECM/SECM/SECM/SECM/SEC'M/SEC •H/SEC "M/SECM/SEC
HIGH.165
-.988.144,131.112
277.7532.611
275.2072.3444.2643.873.194.214.085.091
63.51393.4222.543.082.108.102.069.085
33.6561.063
LOW-.223-.988-.105.OC6
-.127268. V47-6.C89266.758-6.329-1.949-1.213-.026-.136-.101-.16482.97393.242.007
-.120-.086-.098-.151-.07228.634
.541
MEAN-.00211-.98774.00569.06641
-.00446272.97135-2.03655
. 270.72327-2.305091.012911.02445.07407.01026
-.01883-.0177683.2736393.346361.10390-.01173.01651
. -.01102-.02360.00357
30.58369.73396
RMS.05105.98774.02057.07204.03860
272.975742.55J42
270.727452.762791.091871.09776.06655.04311.03039.03627
83.2738993.396381.02453.02967.03253.02909.03746.02446
30.61276.74242
1.024 .525 .71699 .727231.055 .541 .74459 .7531611.634 11.420 11.59036 11.5903618.497 7.371 14.90966 15.01359
8776211. 2518763565. 709**»**»*********»»*****80.530 80.429 80.48134 80.48134
-104.626 -104.777 -104.69931 104.6993239.877 39.874 39.87461 39.87481273.969 269.759 271.34337 271.345744.U60 4.702 4.77539 4.77943
-112.109 -129.658 -120.20902 120.374548.4472.07727.311-1.58614.28058.6*1173.662122.975121.142123.909113.72119.63210.69710.5199.43212.859
"14.4259.37210.18810.45512.177
-.4831.92823.604-57.239-24.7056.66631.50668.6t387.35388.657
" -35.422-17.614-17.261-17.429-18.897-7.612-7.787-8.146-9.725-9.034-9.581
2.902641.9577725.40764-36.67363-10.11370~ 38.4969674.95791103.457001C1. 70340102.73223-5.41792-2.44869.00000.00000.00000.06192.06730.06633.01266.02866
• ~" .00414
3.808371.9578025.4208237.6436811.9279039.67tJ9575.57034103.74037ibl .940761103.0139110.782359.070604.842654.730094.816973.343883.474123.4B612
""" 3.094102.864062.99761
POINTS428742874287
~ 428742874287428742874287428742874287428742874287428742874287428742874287428742874287426742874287428742874287426742874267426742874287428742874287428742874287
""4267428742B7428742874287
" 428742874287428742874287428742874267
A. 399
<u
O) -MQ£ fOa.cO •!->
O ••-
s_ IZo o-a
CVJ
«a-o2
/
OTcu
O 3
i •<-o>
CM
in
5
(6ap)
CM —"OX) I— C5> Q Or- S O
, , QJ
- (£) ««
_ o
3 in ^ "~ o.. . .-*Jcy (if ro*J E 3-Q I— O
i-
O4JCo
2
CU
CM
ca;
CD
0H-C
(OQ.
oCOCO
Ol
CT)
.
Oooen
ooooo
Ooor^
ooo
oooin
A. 400
o
ooQJ>
en-a
in0>
0oCU
l/l <^53O>4->
(/I LJ_<D
i- COO OJ
+-> OCO C
.c s_<D
COCO
•<
QJ
CD
O O O O O(X( ,_, ^-i (\J
I I (S/UI)
a o o a oCM —i —' CM
I I
A.401
Figure A.332. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 44.
I. Mean Airspeed (m/s)
R
106.9 105.8 107.7
III. Standard Deviationof Gust VelocityDifferences (m/s)
CL
1.10 1.12 1.38
1.04 1.08 1.19
1.24 1.28 1.43
Et. SLandard Deviation ofGust Velocities (m/s)
aWXL
3.27
crWYL
3.59
aWZL
2.70
awxc
3.12
CTWYC
3.55
awzc2.57
aWXR
3.26
aWYR
3.53
a
2.72
IV. Integral Length Scale (m).
446
831
740
\c
464
XL \c
827
Wwzc
771
503
877
647
A. 402
1.0 i i i i i i rW
0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.333. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 44.
A. 403
C4)
<UO
tiO
<uIHInOOIO
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
1000.
Figure A.334. Single-point auto-correlation coefficient of gust velocities,Flight 6, Run 44.
A. 404
ao1*Ja
Iooo
RO
ft,
O
ORIGINAL PAGE ISOF POOR QUALITY
1000. 2000. 3000. 1000.
Spatial Lag ;S=VT(m)
Figure A.335. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 44.
A. 405
•von KarmanN= 512SEG.= 5
ll.ll .1,1von KarmanN= 512SEG.= 5
•von KarmanN= 512SEG.= 5
nit) i i i imj I I I mill i I I mil i i i iniii
von KarmanN= 512SEG.= 5
Wv
„„!
von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
von KarmanN= 512SEG.= 5
Wy
von KarmanN= 512SEG-.= 5
von KarmanN= 512SEG.= 5
W7
10-2 1Q0 1Q-2 1Q0
K = u/V (m-1)
10,-2 10°
Figure A.336. Normalized auto-spectra of gust velocities, Flight 6, Run 44.
A. 406
103
•6- 1Q-z r
102
r 10°
io-8
108
N= 512SEG.= 5
,,,J ....... J ....... ,1 ,
N= 512SEG.= 5
WYCLV
N= 5123EG.= 5
i i iiinn i i mud i i itiuil i i iii
N= 512SEG.= 5
WXRC
N= 512SEG.= 5
N= 512SEG.= 5
ut i i mud i i i mill i t i inn
N= 512SEG.= 5
N= 512SEG.= 5
N= 5125EG.= 5
*
mill i t in nil t i .1.1 mil i iiiiini
10-8 10° io~8 10°ic = ej/V (m
ic 8 10°
Figure A.337. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 44.
A. 407
•e-
•6*::?
IO8
10°
io-2
102
10°
io-8
10*
10°
io-»
r
—
_
r
-
rr
—
r
•
•
-
.
-
•
-
r
rr
r
<r
•
•
•
\
r
rr
rr:
rrr
I\-FIfrI{
W x w zLL
-— LC
r \ — LR— v \
I 0\r Vv V\r \\r >^L
r
r~ i iimtJ i nmiJ i iniml i i iiiml
CL
— -ccr \ ~~CR_ \ TA
r ^VV
A *iL
r 'wrr-,,,„„! imnJ . miml ...M...I
— RL— -RC
r \ — RR
r \\\r Vv"v"-\!" V\
[ ^f
io-8 10°
g-
rr
—
f
rr
r
—
r
rr5-s
r=
rr-
r
rr
r
rr
r
r
r
r
rr
r
r
r•*•
T
rr
rI
r
r
r
r
r
r
rr
w x w Y— LL— -LC
r X — LR
^ u"" \^.\- \s\r \S
T^r
r
— CL— -cc
r X ~ CR
• x ""H*r V'A: \ i\ 1J
r \ ^r iVt
iir
r• I mini I llllllJ 1 lllllJ I tllJIll
RL
-— RC
r X — RR
r \^-X.r V*^r" i ift
r \rr' jut i f f j i ulna inin^ i inaa
10-* 10°A; = o>A (nT1)
r
r
^_~f
rs-
r
—
=-
1-
r
r
r;
r
r-
r
rr
r
r
r
ru_
B-
r^r
rr
5-
•••=
r
|
f
r:
r
r
r
r
rii
rr
f
w y w z
— LL— -LC
r \ — LR\ \
r xs\\
r V'vv,,\r * n*ij* ( ji
r T*
rr~ t niiiiii i iitiml i ii ii ml i niiiiJ
— CL
— -ccr \ — CR
: \ 'S. \?~ ^^ ^^ in• v\ \<r y| '=- iir
r" i iiiinil i ii iiml i ii mill i iiiml
— RL— -RC
T \ — RR
r S>^ \r x->TiJS\r \ t.- ¥«| - *»L (i
r \r
r
ID'8 10°
Figure A.338. Two-point cross-spectra of gust velocities, Flight 6, Run 44
A. 408
TABLE A.79. List of All Parameters Measured and Their Range of Values,Flight 5, Run 44.
START TIME • 56626.3912 STOP TINE • 56700.6162
CHANNEL2~PHI DOT"3 ACCL N CG4 THETA DOT5 THETA6 PHI7 PSI 18 DEL PSl 19 PSI 210 DEL PSI 211 ACCL N LT12 ACCL N RT13 ACCL X CG '•"14 ACCL Y CG15 ALPHA CTR~ "16 BETA CTR17 TEKP I18 FENP P19 ACCL Z INS20 ALPHA RT21 BETA RT22 ALPHA LT23 BETA LT24 PSI DOT25 TEMP TOT """"26 OC LT27 OC CTR?8 OC *T29 PS30 TEMP IRT31 0 TO G32 B TO D33 LONG34 LAT35 TB* ANG36 HOG37 VE38 VN39 ALTITUDE40 TE1PC41 Erf WNO SPO42 *S h*0 SPO43 UND SPeEO44 nIsD DIfitC45 4I8SPEED R46 AIRSPEED C47 AIRSPEED L48 DELTA ALT<r9 ISBTL DliP50 UG RIGHT51 UG CENTER'52 UG LEFT53 VG RIGHT54 VG CENTER55 VG LEFT56 «G BIGHT57 «/G CENTER58 hG LEFT
UNITSRAD/SEC ~G UNITSRAD/SECRAORADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUNITSG UNITSRADRADDEG FDEC fG UNITSRADRADRADRADRAD/SECDEG CPSIDPSIDPS 10PS1ADEG CHETERSDEGREESDEGREESDEGREESOtCifttESRADIANSP/SECf/SECKH
DEGREES CKNOTSKNOTSKNOTS
DEGREESH/SECM/SECH/SECMETERSHETERSM/SECM/SECH/SECM/SECM/SECM/SECM/SECM/SECM/SEC
HIGH.172
-.988.087.113.063
103.4002.875
461.0372.4322.7362.591.120.186.043.045
83.69393.4221.617.063.073.058.030.047
32.671
LOU-.142-.988-.072.011
-.10495.299-5.001453.342-5.447"-.332-.488-.044-.139
"" -.097-.09582.61393.242
.165-.104-.053-.100-.087-.05429.C28
MEAN-.00284-.98774.00573.05185-.0174599.41393-1.10287
• 457.08981-1.520371.00689
" 1.01763.02933.00793-.02670-.0207783.2140593.41608.99584
-.02323.01255-.02288-.02639.00184
31.01379
RMS.04280.98774.01874.05854.04126
99.431322.14398
457.093352.384231.064441.06730
~ .04181.04089.03328.03340
"83.2145893.416091.01176.03187.02667.03142.03558.02154
31.026771.066 .623 .79363 .799761.043 .614 .77785 .783711.075 .614 .60569 .8119511.652 11.384 11.58289 11.5829018.497 14.295 16.71458 16.72667
8770378. 5988764277. 722******»* *********** t»*80.481
-104.69739.894101.960
1.B2C97.149
" -10.0522.102
23.087-18.33525.85552.056119.353124. 065122.215124.768145.40931.82410.347e.4ie~~7.8688.0008.7419.4507.4096.1566.889
80.429-104.77239.88397.1371.67680.124-20.039
1.S1S23.719-46.753-9.11319.37372.72294.55794. (3195.298-42.042-17.133-8.111-7.864-9.206-8.631-8.900-8.710-8.858-7.664-8.376
80.45594-104.7336439.88779100.476971.74U34
86.53513-16.036631.9629325.42017-33.31267- *. 45*9935.27327K5.t3259107.65803105.83196106.870406.121739.77187-.OOCOO-.00000-.00000-.09730-.08698-.07784.02468.03482.02997
80.45594104.7336539.88779100.465821.7486686.66680
"16.250311.96301
25.4413033.8725511.6675835.82572106.221531P7. 84998106.01463107.0993613.3161116.223313.354743.226183.337033.413293.429943.450602.617172.478b72.61362
POINTS"296929692969296929692969296929692969"296929692969296929692969
"29692969296929692969296929692969296929692969296929692969296929692969296929692969296929692969296929692969296929692969
• 29692969296929692969"29692969296929692969296929692969
A. 409
ORIGINAL PAGE ISOF POOR QUALITY
0>
<O
"a!it}0.
4J O>o ••-<U r-l_ LL.
S O+J
•a
1 t
CM
O
(6sp)
CM -—~"O30 I— CO^ O O.— S u^_ OJ- - v
^T.vo^ CO ^
3 LO '•
^"a.. . . 4->co a> ""
•t-> E 1-* — ,2a t— Q
(0Q_
io So oo oCfi 00
ooo
co
s_at
ooo
LO
«3-oI
010)TJ
a»o
LO
LD
CO
O
00
vo
co
CM
OOLf>
o•r—4->(O
O
fOQ.
a-iroro
<DS-
A.410
uo
1/53o>-a
l/lai
O *3-o
i— c:d) 3
(/) VO
CJ> 4->-E
M- O>O -i-
</) U_Ol
•^ *\&- (/)O Ol
•»-> o</) C
•^: i-o;
OJ <+-E «4- . -
•r— *r— 'i— -a
ais_C7>
O O O O O(\) 1-1 1-1 (M (s/ui)
o o o o oCXI —1 —1 t\J
A.411
TABLE A.80. Average Turbulence Parameters and Integral Length Scales,Flight 6, Run 46.
I. Mean Airspeed (m/s)
R
104.9 103.8 105.5
II. Standard Deviation ofGust Velocities (m/s)
aWXL
3.04
aW.xc
2.98
uWXR
3.19
aWYL
3.22
a
3.37
CTWYR
3.28
III. Standard Deviationof Gust VelocityDifferences (m/s)
CL
1.39
1.37
1.43
1.39
1.56 1.53
"V.
1.80
XCL HRC XRL
1.43
HCL XRC XRL
1.79
aWZL
2.68
wzc2.50
WZR
2.75
IV. Integral Length Scale (m).
370
506
370
454
420
V468
161 178 155
A.412
1.0 r
0.8
2 0.4P-,
0.2
o.o
CenterLeft
-5. 0 5. -5. 0 5. -5. 0
Normalized Gust Velocity (Standard Deviations)
1.0 l i 1 r| i i I T
1-RC2-CL3-RL "
A N
0 5. -5. 0 5. -5. 0 5.
Normalized Velocity Differences (Standard Deviations)
Figure A.341. Probability density function for gust velocities and gustvelocity differences, Flight 6, Run 46.
A.413
G<u
(Uouao
ou
l_= 1 ,—.1. 1
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
•5000.
Figure A.342. Single-point auto-correlation coefficient of gust velocities.Flight 6, Run 46.
A.414
a£o0)ooco
ouIo
O0,
I
1.
0.
0.
1.0.
WXRC
WXCL
WXRL
WYRC
WYCL
WYRL
WZRC
WZCL
WZRL
1000. 2000. 3000.
Spatial Lag ,S=VT(m)
000.
Figure A.343. Two-point auto-correlation coefficient of gust velocities,Flight 6, Run 46.
A.415
I
10Z
10°
10-r
•von KarmanN= 512SEG.= 7
von KarmanN= 512SEG.= 7
•von KarmanN= 512SEG.= 7
•von Karman IN= 512SEG.= 7
ml i ,,,„„!
•von KarmanN= 512SEG.= 7
,,,! Ivon KarmanN= 512SEG.= 7
I mull t t Html I i i mill
—von KarmanN= 512SEG.= 7
—von KarmanN= 512SEG.= 7
—von KarmanN= 5125EG.= 7
10~s 10° ID'2 10°
K = <y/V (m"1)
icr810°
Figure A.344. Normalized auto-spectra of gust velocities, Flight 6, Run 46,
A.416
108
6"IT
•6- 10-a
102
108
- 10°
io-a
N= 512
N= 512SEG.= 7
N= 512SEG.= 7
N= 512SEG.= 7
WXRC
N- 512SEG.= 7
N= 512
SEG.= 7
WZRC
N= 512SEC.= 7
N= 512SEG.= 7
N= 512SEG.= 7
ZRL
\
10°K = u/V
10°
Figure A.345. Normalized two-point auto-spectra of gust velocities,Flight 6, Run 46.
A.417
1C2 r
io-3
102
10°
io-a
IO2
10-*
10~s 10° io-2 10°K = u/V (m"1)
10i-Z 10°
Figure A.346. Two-point cross-spectra of gust velocities, Flight 6, Run 46.
A.418
TABLE A.81.
ORIGINAL PAGE fSOF POOR QUALITY
List of All Parameters Measured and Their Range of Values,Flight 6, Run 46.
START TINt 96894.4615 STOP TINE • 56990.6669
CHANNEL2 PHI DOT3 ACCL N CG4 THETA DOT5 THETA6 PHI7 PSI 16 DEL PSI 19 PSI 210 DEL PSI 211 ACCL N LT12 ACCL N RT13 ACCL X CG"14 ACCL Y CG15 ALPHA CTR"16 BETA CTP17 TEMP I18 TEhP P ~19 ACCL Z INS"20 ALPHA RT21 BETA f>T22 ALPHA LT23 BETA LT24 PSI OQT25 'TEMP "TOT26 OC LT27 OC CTR26 OC RT29 PS30 TEMP IRT31 0 TO G32 8 TO 033 LONG34 LAT35 TfcK ANG36 HOG37 VE38 VN39 ALTITUDE40 TEHPC41 Ey UNO SPD42 NS UNO SPD43 HsD SPEED44 WIND DIDcC*5 il'-S?E£D »<•<> APSPEED c47 AIRSPEED L48 DELTA ALT49 INRTL DISP50 UG RIGHT51 UG CENTER "52 UG LEFT53 VG RIGHT14 VG CENTER55 VG LEFT56 *G RIGHT17 MG CENTER58 »G LEFT
UNITSRAO/SECG UNITSRAD/SECRADRADDEGREESDEGREESDEGREESDEGREESG UNITSG UNITSGUN ITS ~"G UNITSRADRADDEG FDEG FG UNITSRADRADRADRADRAD/SECPEG CPSIOPSIDPSIDPSIAOEG CMETERSDEGREESDEGREESDEGREESDEGREESRADIANSM/SfcCM/SECKMDEGREES CKNOTSKNOTSKNOTSDEGREESM/SECH/SECN/SECMETERSMETERSM/SECM/SECM/SECM/SECM/SECM/SECM/SECM/SECM/SEC
HIGH.256
-.988.107.084.115
120.3076.842
462.5556.4902.9293.030.139.198.062.148
83.33393.6021.965.085.167.048.141.122
32.868.999
LOW-.154-.988-.093-.C02-.126
106.922-6.353469.191-6.594-.976-.638-.014-.198-.119-.19982.97393.422
.170-.122-.154-.124-.181-.15929.914
.603
MEAN-.00288-.98774.00562.04709
-.OC682113.39553
.04088475.65688
-.257121.014351.02626.05503.01267
-.02436-.0136563.0771793.506631.00498-.02124.01832
-.02072-.01948.00396
31.40905.76166
RMS.05378.98774.02221.05071.03697
113.414192.05479
475.661092.056211.095971.10270.06207.05424
~ " .03284".04592
83.0772393.508671.02776.03256.04371.03111.04401.03455
31.41576.76539
.974 .595 .74575 .749191.006 .611 .77096 .7747711.628 11.556 11.60257 11.6025719.312 15.790 17.68589 17.70696
6765989.5818758762.061**********************60.445
-104.75339.909117.223
2.12262.307-32.00C1.96027.909-14.27935.65353.949146.061120.130in. 042119.60028.3668.6939.8148.0418.15411.33210.363
. e.i6i12.0609.1128.371
90.380-104.84139.877112.655
1.88579.324
"-39.4151.93124.367-47.641-4.63918.29482.47094.37393.16793.613-20.576-19.730-10.437-10.228-10.710-6.678-9.188-8.590-8.653-7.778
~ -8.846
60.41270-104.7969039.89324115.249021.9994876.14249
-36.835611.9492626.03665-30.3230914.6476734.31207
116.C3064105.402491C3. 76903104.85960-2.62153-2.48577-.00000-.00000-.00000.02548.02318.01855.01224.00632.00349
80.41270104.7969139.89325115.257491.9998278.1748836.906531.9492926.0519930.9777715.9231334.83357116.57383105.58074lbi.b7774104.969457.616017.316113.295383.105703.184493.272413.365273.208532.766572.4D6782.65923
POINTS384938493649.3849364938493849384936493849384938493849
"38493849364938493849
" 364938493849384936493849364938493849384938493849364938493849384938493649'3849364938493849384938493649384936493649384936493849
'" 384938493849384936493849
" 36493849
A.419