STABILITY OF A CLASS OF COUPLED RIGID-ELASTIC SYSTEMS WITH SYMMETRY-BREAKING

被引：0
|
作者：
CHENG, Y
HUANG, KL
LU, QS
机构：
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1994年 / 37卷 / 09期
关键词：
HAMILTONIAN STRUCTURE; POISSON MANIFOLD; RIGID-ELASTIC COUPLED SYSTEM; STABILITY; CASIMIR FUNCTION;
D O I：
暂无
中图分类号：
O29 [应用数学];
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.
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页码：1062 / 1069
页数：8
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