Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-05T10:54:09.249Z Has data issue: false hasContentIssue false

On the Non-Linear Vibrations of a Projectile

Published online by Cambridge University Press:  07 June 2016

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
Get access

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
Copyright
Copyright © Royal Aeronautical Society. 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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