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Appendix 4 to ETSO-C117b – Dryden Turbulence and Discrete Gust Model

ED Decision 2020/011/R

This Appendix contains data that defines the Dryden turbulence and discrete gust model to be used in conducting the tests specified in paragraphs 4(d)(7)(ii), 4(d)(7)(iii), 4(d)(8)(ii), and 4(d)(8)(iii) of Appendix 1 to this ETSO.

Dryden Turbulence Model

where:

SIGMAu, SIGMAv, SIGMAw are the RMS intensities;

TAUu = Lu/VA;

TAUv = Lv/VA;

TAUw = Lw/VA;

Lu, Lv, Lw are the turbulence scale lengths; VA is the aircraft’s true airspeed (ft/sec);

PI = 3.1415926535;

PI2 = 6.2831853070 (2 times PI);

SQRT3 = 1.732050808 (square root of 3); and

S is the Laplace transform variable.

The following table lists SIGMAu, SIGMAv, SIGMAw, Lu, Lv, and Lw versus altitude. Extrapolation will not be used, and simulator altitudes outside the bounds of the turbulence list will use the data at the boundary.



Altitude (feet)

RMS Intensities (ft/sec)

Scale Lengths (feet)

Long

Lat

Vert

Long

Lat

Vert

100

5.6

5.6

3.5

260

260

100

300

5.15

5.15

3.85

540

540

300

700

5.0

5.0

4.3

950

950

700

900

5.0

5.0

4.45

1123

1123

900

1500

4.85

4.85

4.7

1579

1579

1500



The applicant shall demonstrate that the variance of their turbulence implementation is adequate.

Discrete Gust Rejection

Discrete gusts (in the horizontal axis) with ranges of amplitude and frequency (A and OMEGA) of the form [A(1 − cos OMEGAt)] shall be used.

The following table lists the values of A and OMEGA to be used (this simulates an approximate 15-knot gust condition):



A

OMEGA (rad/sec)

Approx. Gust Duration (sec)

7.5

2.10

3

7.5

1.26

5

7.5

0.78

8

7.5

0.63

10

7.5

0.52

12

7.5

0.42

15

7.5

0.31

20

[Amdt ETSO/16]

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