Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type

被引：9

作者：

Wu Hui-Bin ^{[1
]}

Mei Feng-Xiang ^{[1
]}

机构：

[1] Beijing Inst Technol, Fac Sci, Beijing 100081, Peoples R China

来源：

CHINESE PHYSICS B | 2010年 / 19卷 / 03期

基金：

中国国家自然科学基金;

关键词：

nonholonomic system; non-Chetaev's type constraint; symmetry of Lagrangians; conserved quantity; NONCONSERVATIVE DYNAMIC-SYSTEMS; NOETHER CONSERVED QUANTITY; MECHANICAL SYSTEMS; FORM INVARIANCE; LIE SYMMETRIES; THEOREM; EQUATIONS;

D O I：

10.1088/1674-1056/19/3/030303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper studies the symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type. First, the definition and the criterion of the symmetry of the system are given. Secondly, it obtains the condition under which there exists a conserved quantity and the form of the conserved quantity. Finally, an example is shown to illustrate the application of the result.

引用

页数：4

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