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微粗糙平面上Chaplygin球永久转动的稳定性
引用本文:杨海兴.微粗糙平面上Chaplygin球永久转动的稳定性[J].力学学报,1989,21(6):749-753.
作者姓名:杨海兴
作者单位:上海交通大学
摘    要:

关 键 词:粗糙  平面    转动  稳定性

THE STABILITY OF A CHAPLYGIN'S SPHERE ON A SLIGHTLY ROUGH HORIZONTAL PLANE
Yang Haixing.THE STABILITY OF A CHAPLYGIN''''S SPHERE ON A SLIGHTLY ROUGH HORIZONTAL PLANE[J].chinese journal of theoretical and applied mechanics,1989,21(6):749-753.
Authors:Yang Haixing
Institution:Shanghai Jiao Tong University
Abstract:The stability of a Chaplygin's sphere rotating about a vertical axis-on a slightly rough horizontal plane is considered. It is shown that the rotation is unstable about the shortest or middle central principal axes with viscous friction and uniformly stable about the longest one with viscous or dry friction.
Keywords:rough horizontal plane  Chaplygin's sphere  stability  partial stability  
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