Integrating factors and conservation theorems for the nonholonomic singular lagrange system

被引：0

作者：

Zhao Shu-Hong ^{[1
]}

Liang Li-Fu

Qiao Yong-Fen

机构：

[1] Harbin Engn Univ, Sch Civil Engn, Harbin 150001, Peoples R China

[2] NE Agr Univ, Coll Engn, Harbin 150030, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2007年 / 48卷 / 05期

关键词：

analytical mechanics; singular system; integrating factor; conserved quantity;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a general approach to the construction of conservation laws for the nonholonomic singular Lagrange system. Firstly, the differential equations of motion of the system are written, the definition of integrating factors is given for the system. Next, the necessary conditions for the existence of the conserved quantity are studied in detail. Finally, the conservation theorem and its inverse are established for the system, an example is given to illustrate the application of the result.

引用

页码：791 / 794

页数：4

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