A theory for the lateral response of airplanes to random atmospheric turbulence Page: 41 of 77
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7
NACA Tf 3954 39
the motions. In general, then, the lateral motions at low trim angles
of attack are due. primarily to the ability of the side gusts vg and
vertical gusts vg to produce yawing and.rolling moments on the airplane.
With regard to lateral motions the present method of considering
random variations of the gust velocities along the fuselage and across
the span is a concept hitherto only approximated with constant gradients
of gust velocity or completely ignored. Such approximations do not
appear to be justified for gusts having wavelengths shorter than twice the
span dr fuselage length of the airplane. Although these less comprehen-
sive methods correctly predict the trends in the vicinity of the Dutch
roll mode of the airplane, they lead to the erroneous conclusion that
the power spectra of the lateral motion due to the unsymmetrical compo-
nents of the gust across the span (w y and Bug y) fall off to zero
at wavelengths greater than the integral scale of the turbulence. he
magnitude of difference between the methods increases with frequency
above the Dutch roll mode since in this general region of frequencies
the short-period (with respect to the size of the airplane) random varia-
tions of gust velocity along the fuselage and across the span have a
predominant effect on the moments and motions of the airplane.
Langley Aeronautical laboratory,
National Advisory Comanmittee for Aeronautics,
Langley Field, Va., January 18, 1957.
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Eggleston, John M. A theory for the lateral response of airplanes to random atmospheric turbulence, report, May 1957; (https://digital.library.unt.edu/ark:/67531/metadc56287/m1/41/: accessed April 24, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.