Skip to main content
Log in

On the instability of a spinning projectile due to a nonlinear Magnus moment

  • Aerospace Sciences
  • Published:
Proceedings of the Indian Academy of Sciences Section C: Engineering Sciences Aims and scope Submit manuscript

Abstract

A nonlinear differential equation representing the initial nutational vibrations of a spinning projectile in the presence of a nonlinear Magnus moment has been approximated by a perturbed Duffing’s equation and the quantitative and qualitative agreement of the approximation brought out. Then the combined motion in nutation and precession has been examined and sufficient conditions for the Magnus instability of the normal motion establishedvia Lyapunov’s second method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bogoliubov N N & Mitropolsky Y A 1961Asymptotic methods in the theory of nonlinear oscillation (Delhi: Hindustan Publishing Corpn.)

    Google Scholar 

  • Efimov N V & Rozendorn E R 1975Linear algebra and multidimensional geometry (Moscow: Mir Publishers)

    Google Scholar 

  • Fowler R H & Lock C N H 1922Philos. Trans. R. Soc. A 222 227

    Google Scholar 

  • La Salle J & Lefschetz S 1961Stability by Liapunov’s direct method (New York: Academic Press)

    MATH  Google Scholar 

  • Rath P C & Sharma K C 1976Indian J. Pure Appl. Math. 7 387

    MATH  Google Scholar 

  • Rath P C & Sharma S M 1981Aeronaut. Q. London 23 228

    Google Scholar 

  • Sharma S M 1975J. Armt. Studies 11 18

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sharma, S.M. On the instability of a spinning projectile due to a nonlinear Magnus moment. Proc. Indian Acad. Sci. (Engg. Sci.) 4, 449–459 (1981). https://doi.org/10.1007/BF02896346

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02896346

Keywords

Navigation