Poincaré-Chetaev系统的积分不变量  

Integral invariant of Poincaré-Chetaev system

作　　者：赵淑红[1] 乔永芬 

机构地区：[1]东北农业大学工程学院力学教研室,黑龙江哈尔滨150030

出　　处：《信阳师范学院学报（自然科学版）》2001年第2期166-169,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：黑龙江省自然科学基金!资助课题 (95 0 7)

摘　　要：研究Poincaré-Chetaev系统的积分不变量 ,包括Poincaré- Cartan积分不变量以及Poincaré线性积分不变量 利用Hamilton作用量的非等时变分和Poincaré-Chetaev方程来求这些积分不变量 ,得到系统的Poincaré线性积分不变量和Ｐｏｉｎｃａｒé-Cartan积分不变量 。In this paper,the integral invariant of Poincaré Chetaev system including the Poincaré Cartan integral invariant and the Poincaré linear integral invariant is studied.The Poincaré cartan integral invariant and the Poincaré linear integral invariant of the Poincaré Chetaev system are obtained by using the formula of the asynchronous variation of Hamilton action and the Poincaré Chetaev equations.Finally,two examples to illustrate the application of the result are given.

关 键 词：Hamilton作用量 非等时变分 积分不变量 POINCARÉ-CHETAEV方程 完整系统 

分 类 号：O316[理学—一般力学与力学基础]