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On the Non-Linear Vibrations of a Projectile

Published online by Cambridge University Press:  07 June 2016

P.C. Rath  and
S.M. Sharma
P.C. Rath
Affiliation:
Institute of Armament Technology, Girinagar, Pune-25, India
S.M. Sharma
Affiliation:
Centre for Aeronautical System Studies and Analysis, Mahalaxmi Layout, Bangalore-10, India
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Summary

The Nonlinear Magnus effect on the nutational oscillations of a missile has been studied. In particular the existence of self-sustained vibrations has been proved. A numerical method is suggested to obtain the limit cycles wherever they exist.

Type
Research Article
Information
Aeronautical Quarterly , Volume 32 , Issue 3 , August 1981 , pp. 228 - 242
Copyright
Copyright © Royal Aeronautical Society. 1981

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References

1 Fowler, R.H., Gallop, E.G., Lock, C.N.H. and Richmond, H.W. The aerodynamics of a spinning shell, Part I, Phil. Trans. Roy. Soc. A221 (1920), 295.Google Scholar
2 Haseltine, W.R. The fluid dynamic aspects of ballistics, AGARD Conf. Proc. No. 10, pp 363, 1966.Google Scholar
3 Fowler, R.H. and Lock, C.N.H. The aerodynamics of a spinning shell, Part II. Phil. Trans. Roy. Soc. A222 (1922), 227.Google Scholar
4 Bogoliubov, N.N. and Mitropolsky, Y.A. Asymptotic methods in the theory of nonlinear oscillations (translated from Russian). Hindistan Publishing Corporation, Delhi, Ch. I, 1961.Google Scholar
5 Burnside, H.S. and Panton, A.W. The Theory of Equations, Vol. I, S. Chand and Co., Delhi, pp 67, 1957.Google Scholar
6 Sharma, K.C. Studies on magnus instability and some related problems in exterior ballistics, Ph.D. Thesis, Poona University, Ch. I, 1972.Google Scholar
7 Greenspan, D. Discrete numerical methods in physics and engineering, Academic Press, Ch. II, 1974.Google Scholar