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Amplitude-dependent behaviour of a liquid-filled gyroscope

Published online by Cambridge University Press:  29 March 2006

W. E. Scott  and
W. P. D'Amico
W. E. Scott
Affiliation:
Department of Earth and Planetary Sciences, The Johns Hopkins University
W. P. D'Amico
Affiliation:
Ballistics Research Laboratory, Aberdeen Proving Ground, Maryland
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Abstract

An analysis of the experimentally determined resonant amplitude and frequencies of oscillation of a gyroscope whose rotor contains liquid-filled cylindrical cavities reveals a surprising small amplitude instability region that is not predicted by the Stewartson instability criterion for a liquid-filled spinning top. Along with the experimental results and speculation concerning the cause of the observed phenomenon, there are presented some practical implications of the observations of use to designers of spinning vehicles containing liquid.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 60 , Issue 4 , 9 October 1973 , pp. 751 - 758
Copyright
© 1973 Cambridge University Press

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References

Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Karpov, B. G. 1965 Liquid-filled gyroscope: the effect of Reynolds number on resonance. Ballistic Res. Lab., Aberdeen Proving Ground, Md, Rep. no. 1302.Google Scholar
Stewartson, K. 1959 The stability of a spinning top containing liquid J. Fluid Mech. 5, 577–592.Google Scholar
Stuart, J. T. 1971 Nonlinear stability theory Ann. Rev. Fluid Mech. 3, 347–368.Google Scholar