Stability of a Class of Coupled Rigid-elastic Systems With Symmetry-breaking

被引：0
|
作者：
程耀
黄克累
陆启韶
机构：
[1] Beijing University of Aeronautics and Astronautics
[2] Beijing 100083
[3] PRC
来源：
Science China Mathematics | 1994年 / 09期
基金：
中国国家自然科学基金;
关键词：
Hamiltonian structure; Poisson manifold; rigid-elastic coupled system; stability; casimir function;
D O I：
暂无
中图分类号：
O174 [函数论];
学科分类号：
070104 ;
摘要：
In this paper, the Poisson structures and Casimir functions, which play an important role in stability analysis of stationary motions, are given for a class of coupled rigid-elastic systems with symmetry-breaking. As a practical example, the specific Casimir function is given for a rigid-elastic coupled body with a fixed point subjected to gravitational force. At last, a set of sufficient conditions for stability of stationary motions of a rigid-elastic body in a circular orbit are given by the energy-Casimir method.
引用
收藏
页码：1062 / 1069
页数：8
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