Stationary-state solutions to the rotation of solid bodies with liquid- filled cavities and their stability

DOI10.1007/BF03250483zbMath0585.70004OpenAlexW2323099687MaRDI QIDQ1070839

Shuochang Xu, Shi-qiang Dai

Publication date: 1985

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03250483

zbMATH Keywords

stabilityequilibrium statesrotating systemaxi-symmetrical solid bodies with liquid-filled cavitiesLyapunov direct method for a continuous systemrotating solid bodyunique stable final-state solution

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Free motion of a rigid body (70E15) General theory of rotating fluids (76U05)

Cites Work

• On the stability of the rotational motion of a rigid body having a liquid filled cavity under finite initial disturbance
• On the global stability of the rotational motion and the qualitative analysis of the behaviour of disturbed motion of a rigid body having a liquid-filled-cavity
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