A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints

doi:10.1088/1674-1056/21/12/120201

Chin. Phys. B ›› 2012, Vol. 21 ›› Issue (12): 120201-120201.doi: 10.1088/1674-1056/21/12/120201

A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints

韩月林^a, 孙现亭^b, 王肖肖^a, 张美玲^a, 贾利群^a

a School of Science, Jiangnan University, Wuxi 214122, China;
b School of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467002, China

收稿日期:2012-03-01 修回日期:2012-05-12 出版日期:2012-11-01 发布日期:2012-11-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11142014 and 61178032) and the Scientific Research and Innovation Plan for Colleage Graduates of Jiangsu Province of China (Grant No. CSLX12_0720).

A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints

Han Yue-Lin (韩月林)^a, Sun Xian-Ting (孙现亭)^b, Wang Xiao-Xiao (王肖肖)^a, Zhang Mei-Ling (张美玲)^a, Jia Li-Qun (贾利群)^a

a School of Science, Jiangnan University, Wuxi 214122, China;
b School of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467002, China

Received:2012-03-01 Revised:2012-05-12 Online:2012-11-01 Published:2012-11-01
Contact: Jia Li-Qun E-mail:jlq0000@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11142014 and 61178032) and the Scientific Research and Innovation Plan for Colleage Graduates of Jiangsu Province of China (Grant No. CSLX12_0720).

摘要/Abstract

摘要： A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints are investigated. Nielsen equations and differential equations of motion for the holonomic mechanical system with unilateral constraints are established. The definition and the criterion of Mei symmetry for Nielsen equations in the holonomic systems with unilateral constraints under the infinitesimal transformations of Lie group are also given. The expressions of the structural equation and a type of new conserved quantity of Mei symmetry for Nielsen equations in the holonomic system with unilateral constraints are obtained. An example is given to illustrate the application of the results.

关键词: holonomic system with unilateral constraints, Nielsen equation, structural equation, new type of conserved quantity

Abstract: A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints are investigated. Nielsen equations and differential equations of motion for the holonomic mechanical system with unilateral constraints are established. The definition and the criterion of Mei symmetry for Nielsen equations in the holonomic systems with unilateral constraints under the infinitesimal transformations of Lie group are also given. The expressions of the structural equation and a type of new conserved quantity of Mei symmetry for Nielsen equations in the holonomic system with unilateral constraints are obtained. An example is given to illustrate the application of the results.

Key words: holonomic system with unilateral constraints, Nielsen equation, structural equation, new type of conserved quantity

中图分类号: (Lie algebras of Lie groups)

02.20.Sv

11.30.-j (Symmetry and conservation laws) 45.20.Jj (Lagrangian and Hamiltonian mechanics)

韩月林, 孙现亭, 王肖肖, 张美玲, 贾利群. A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints[J]. Chin. Phys. B, 2012, 21(12): 120201-120201.

Han Yue-Lin (韩月林), Sun Xian-Ting (孙现亭), Wang Xiao-Xiao (王肖肖), Zhang Mei-Ling (张美玲), Jia Li-Qun (贾利群). A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints[J]. Chin. Phys. B, 2012, 21(12): 120201-120201.

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A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints

A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints

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