CONSERVATION LAWS AND SYMMETRIES OF SYSTEMS WITH UNILATERAL CONSTRAINTS IN PHASE SPACE

被引：0

作者：

Zhang Yi (Department of Basic Courses

机构：

来源：

Acta Mechanica Solida Sinica | 1999年 / 12卷 / 01期

关键词：

analytical mechanics; conservation law; symmetry; unilateral constraint; phase space; Noether’s theorem; Noether’s inverse theorem;

D O I：

暂无

中图分类号：

O172.1 [微分学];

学科分类号：

0701 ; 070101 ;

摘要：

By introducing the generalized quasi-symmetry of the infinitesimal transformation fortransformation group G,,this paper studies the conservation laws and symmetries of dynamical systemswith unilateral constraints in phase space.Noether’s theorem and Noether’s inverse theorem for me-chanical systems with unilateral constraints in phase space are obtained and two kinds of equivalentforms of generalized Killing equations which are used to determine the 8enerators of the infinitesimalgroup transformation are given.

引用

页码：22 / 30

页数：9

共 3 条

[1]

A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss[J] . B. Vujanovic.Acta Mechanica . 1987 (1)

[2] MECHANICAL SYSTEMS OF RIGID BODIES SUBJECT TO UNILATERAL CONSTRAINTS [J].

LOTSTEDT, P .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1982, 42 (02) :281-296

[3]

A study of conservation laws of systems with unilateral constraints by means of differential variational principles .2 Zhang Yi,Mei Fengxiang. Proc of ICNM-Ⅲ . 1998

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