Conservation laws and symmetries of systems with unilateral constraints in phase space

被引：0

作者：

Zhang, Y

Mei, FX

机构：

[1] Suzhou Inst Urban Construct & Environm Protect, Dept Basic Courses, Suzhou 215011, Peoples R China

[2] Beijing Inst Technol, Dept Appl Mech, Beijing 100081, Peoples R China

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：

T [工业技术];

学科分类号：

08 ;

摘要：

By introducing the generalized quasi-symmetry of the infinitesimal transformation for transformation group G(tau), this paper studies the conservation laws and symmetries of dynamical systems with unilateral constraints in phase space. Noether's theorem and Noether's inverse theorem for mechanical systems with unilateral constraints in phase space are obtained and two kinds of equivalent forms of generalized Killing equations which are used to determine the generators of the infinitesimal group transformation are given.

引用

页码：22 / 30

页数：9

共 12 条

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