Nonlinear Instability of a Precessing Body with a Cavity Filled by an Ideal Fluid

A sufficient condition is derived for the nonlinear instability of a rotating body with a fluid-filled cavity. This condition is given in terms of quantities completely determined by the shape of the body/cavity and the relative density of the fluid and the body. It is shown, for example, that such...

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Bibliographic Details
Published inSIAM journal on mathematical analysis Vol. 29; no. 3; pp. 600 - 618
Main Authors Lyashenko, Andrei A., Friedlander, Susan J.
Format Journal Article
LanguageEnglish
Published Philadelphia Society for Industrial and Applied Mathematics 01.07.1998
Subjects
Applied mathematics
Eigenvalues
Symmetry
Velocity
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Summary:A sufficient condition is derived for the nonlinear instability of a rotating body with a fluid-filled cavity. This condition is given in terms of quantities completely determined by the shape of the body/cavity and the relative density of the fluid and the body. It is shown, for example, that such a system with a prolate ellipsoidal cavity of appropriate ellipticity is nonlinearly unstable.
ISSN:0036-1410
1095-7154
DOI:10.1137/S0036141096302160