Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The initial vibrations of a spinning shell

Authors: P. C. Rath and R. Vasudevan
Journal: Quart. Appl. Math. 23 (1966), 289-296
DOI: https://doi.org/10.1090/qam/99940
MathSciNet review: QAM99940
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Abstract | References | Additional Information

Abstract: In this paper, we have studied the initial angular motion of a spinning shell with an overturning and yawing moment and shown that the frictional effects provided by the yawing moment change the initial rosette motion of the shell to one with a non-zero minimum yaw.

References [Enhancements On Off] (What's this?)

  • [1] R. H. Fowler, E. G. Gallop, C. N. H. Look and H. W. Richmond, The aerodynamics of a spinning shell--Pt. I, Phil. Trans. Roy Soc. A-221 (1920) 295
  • [2] R. H. Fowler, and C. N. H. Lock, The aerodynamics of a spinning shell--Pt. II, Phil. Trans. Roy. Soc. A-222 (1922) 227
  • [3] K. L. Nielsen and J. L. Synge, On the motion of a spinning shell, Quart. Appl. Math. 4 (1946), 201–226. MR 0017019, https://doi.org/10.1090/S0033-569X-1946-17019-5
  • [4] P. C. Rath, On the motion of a spinning artillery shell--Pt. I (The angular motion of the shell), Proc. Nat. Inst. Sc., India A-27 (1961) 233
  • [5] A. G. Webster, Lectures on Mathematical Physics--The Dynamics of particles and of rigid, elastic and fluid bodies, 2nd edition, Dover Publications, New York, 1912

Additional Information

DOI: https://doi.org/10.1090/qam/99940
Article copyright: © Copyright 1966 American Mathematical Society

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