Mei symmetry and Mei conserved quantity of Nielsen equation for a nonholonomic system

被引：17

作者：

Jia Li-Qun ^{[1
]}

Luo Shao-Kai ^{[2
]}

Zhang Yao-Yu ^{[3
]}

机构：

[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China

[2] Zhejiang Sci & Technol Univ, Inst Math Mech & Math Phys, Hangzhou 310018, Peoples R China

[3] Pingdingshan Univ, Coll Elect & Informat Engn, Pingdingshan 467002, Peoples R China

来源：

ACTA PHYSICA SINICA | 2008年 / 57卷 / 04期

关键词：

nonholonomic systems; Nielsen equation; Mei symmetry; Mei conserved quantity;

D O I：

10.7498/aps.57.2006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Mei symmetry and Mei conserved quantity of Nielsen equation with multipliers for a nonholonomic, non-conservative system of Chetaev's type are studied. The differential equations of motion of Nielsen equation with multipliers for the system, the definition and criterion of Mei symmetry, and the condition and the form of Mei conserved quantity deduced directly by Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.

引用

页码：2006 / 2010

页数：5

共 24 条

[1]

[Anonymous], 1991, ADV ANAL MECH

[2]

Chen XW, 2002, APPL MATH MECH-ENGL, V23, P53

[3] A new type of conserved quantity of Mei symmetry for Lagrange system [J].