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On the Torsional Modes of a Uniformly Tapered Solid Wing

Published online by Cambridge University Press:  07 June 2016

E.H. Mansfield
E.H. Mansfield*
Affiliation:
Royal Aircraft Establishment, Farnborough
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Summary

An exact analysis is first given, within the spirit of elementary theory, of the torsional modes of a uniformly tapered solid wing whose section shape - as distinct from size - is constant. Numerical results are presented for the first five torsional modes for various values of tip chord/root chord. It is shown that the frequencies are fairly insensitive to the magnitude of the taper and a corollary to this, which is also investigated, is that an analysis based on a partially stepped representation of the taper yields close estimates of the frequencies but can yield massive differences in the higher mode shapes. An analysis is also made of warping restraint and distributed inertia effects.

Type
Research Article
Information
Aeronautical Quarterly , Volume 33 , Issue 2 , May 1982 , pp. 154 - 173
Copyright
Copyright © Royal Aeronautical Society. 1982

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References

1 Duncan, W.J. The torsion and flexure of cylinders and tubes. Aero. Res. Council R & M 1444, 1932 Google Scholar
2 Mansfield, E.H. The Bending and Stretching of Plates. Pergamon Press, 1964 Google Scholar
3 Mansfield, E.H. Torsional vibrations of a solid wing of diamond section. Aero. Quart. Vol. XIV, August 1963 Google Scholar
4 Walker, P.B. Simple formulae for the fundamental natural frequencies of cantilevers. Aero. Res. Council R & M 1831, 1938 Google Scholar