旋转充液腔体的全局稳定性及其受扰运动的定性分析

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On the Global Stability of Rotational Motion and the Qualitative Analysis of the Behaviour of Disturbed Motion of a Rigid Body Having a Liquid-Filled Cavity

摘要: 本文是[1]的继续.在本文中,我们研究了旋转充液腔体定常解的分布情况,确定了每一定常解的稳定性并给出了相应的稳定与不稳定区域,此外,对旋转充液腔体的受扰运动作出了全面的定性分析.

Abstract: This paper is a continuation of[1].In this paper we investigate the distribution of steady motions of the liquid-filled-cavity body, decide the stability of each stuady motion and find out the corresponding regions of stability and instability.Besides,the behaviour of disturbed motion is analysed qualitatively.

[1]	李骊,旋转充液腔体的有限扰动稳定问题.应用数学和力学,4,5(1983).
[2]	Leimanis,E.and N.Minorsky,Dynamics and nonlinear mechanics,John Wiley & Sons,Inc.(1958).