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On the Energy Characteristics of the Aerodynamic Matrix and the Relationship to Possible Flutter

Published online by Cambridge University Press:  07 June 2016

J.G. Jones
J.G. Jones*
Affiliation:
Royal Aircraft Establishment, Farnborough, Hampshire
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Summary

The problem of energy transfer between an airstream and a wing in sinusoidal motion has been investigated by a series of authors beginning with Frazer who in 1939 considered the power input required to maintain forced oscillations of an aeroplane wing in flight. More recently Nissim introduced an ‘aerodynamic energy concept’ as the basis for the design of active control systems for flutter suppression. In this paper the author reconsiders the energy characteristics of the aerodynamic matrix in terms of the network concepts of resistive and reactive elements, corresponding to energy dissipation and energy storage respectively. A dual formulation of Nissim’s method is described and an extension proposed that takes account of aerodynamic energy storage in addition to aerodynamic energy dissipation.

Type
Research Article
Information
Aeronautical Quarterly , Volume 34 , Issue 3 , August 1983 , pp. 212 - 225
Copyright
Copyright © Royal Aeronautical Society. 1983

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References

1 Frazer, R.A. On the power input required to maintain forced oscillations of an aeroplane wing in flight. ARC R & M 1872, 1939 Google Scholar
2 Duncan, W.J. The fundamentals of flutter. ARC R & M 2417, 1948 Google Scholar
3 Lambourne, N.C. On the conditions under which energy can be extracted from an air stream by an oscillating aerofoil. Aero Quarterly, Vol IV, p 54, August 1952 Google Scholar
4 Nissim, E. Flutter suppression using active controls based on the concept of aerodynamic energy. NASA TN D-6199, 1971 Google Scholar
5 Nissim, E. Active flutter suppression using trailing-edge and tab control surfaces. AIAA Paper 75-822, Denver, Colorado, May 1975 CrossRefGoogle Scholar
6 Nissim, E., Caspi, A. and Lottati, I. Application of the aerodynamic energy concept to flutter suppression and gust alleviation by use of active controls. NASA TN D-8212, 1976 CrossRefGoogle Scholar
7 Nissim, E. and Abel, I. Development and application of an optimisation procedure for flutter suppression using the aerodynamic energy concept. NASA Technical Paper 1137, 1978 Google Scholar
8 Branin, F.H. Jr. The algebraic-topological basis for network analysis and the vector calculus. Symposium on Generalised Networks, Polytechnic Institute of Brooklyn, 1966 Google Scholar
9 Carlin, H.J. and Giordano, A.B. Network theory. Prentice-Hall, 1964 Google Scholar
10 Pines, S. An elementary explanation of the flutter mechanism. IAS National Specialists’ Meeting on Dynamics and Aeroelasticity, Fort Worth, November 1958 Google Scholar
11 Done, G.T.S. The flutter and stability of undamped systems. ARC R & M 3553, 1966 Google Scholar
12 Done, G.T.S. The effect of linear damping on flutter speed. ARC R & M 3396, 1963 Google Scholar
13 Lambourne, N.C. Calculations showing the influence of aerodynamic damping on binary wing flutter. ARC R & M 3579, 1967 Google Scholar
14 Littlewood, D.E. A university algebra. Heinemann, 1950 Google Scholar
15 Jones, J.G. Dual formulation and proposed extension of Nissim’s aerodynamic energy method on the basis of network theory. Royal Aircraft Establishment, Technical Memorandum FS 110, March 1977 Google Scholar
16 Penfield, P. Jr., Spence, R. and Duinker, S. Tellegen’s theorem and electrical networks. MIT Press Research Monograph 58, 1970 Google Scholar
17 Done, G.T.S. and Simpson, A. Dynamic instability of certain conservative and non-conservative systems. Journal Mech. Eng. Soi., Vol. 19, No. 6, pp 251-263, 1977 Google Scholar
18 Nash, J.C. The Hermitian matrix eigen problem Hx = eSx using compact array storage. Computer Physios Comm., Vol. 8, pp 85-88, 1974 Google Scholar
19 Zakrajsek, E. Generalised eigenvalue problem. Computer Journal, Vol. 20, No. 1, pp 86-91, 1977 Google Scholar