Lie symmetry and Hojman conserved quantity of a Nielsen equation in a dynamical system of relative motion with Chetaev-type nonholonomic constraint

doi:10.1088/1674-1056/20/12/124501

中国物理B ›› 2011, Vol. 20 ›› Issue (12): 124501-124501.doi: 10.1088/1674-1056/20/12/124501

Lie symmetry and Hojman conserved quantity of a Nielsen equation in a dynamical system of relative motion with Chetaev-type nonholonomic constraint

孙现亭¹, 王肖肖², 张美玲², 解银丽², 贾利群²

(1)School of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467002, China; (2)School of Science, Jiangnan University, Wuxi 214122, China

收稿日期:2011-05-30 修回日期:2011-06-10 出版日期:2011-12-15 发布日期:2011-12-15

Lie symmetry and Hojman conserved quantity of a Nielsen equation in a dynamical system of relative motion with Chetaev-type nonholonomic constraint

Wang Xiao-Xiao(王肖肖)^a), Sun Xian-Ting(孙现亭)^b), Zhang Mei-Ling(张美玲)^a),Xie Yin-Li(解银丽)^a), and 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:2011-05-30 Revised:2011-06-10 Online:2011-12-15 Published:2011-12-15

摘要/Abstract

摘要： The Lie symmetry and Hojman conserved quantity of Nielsen equations in a dynamical system of relative motion with nonholonomic constraint of the Chetaev type are studied. The differential equations of motion of the Nielsen equation for the system, the definition and the criterion of Lie symmetry, and the expression of the Hojman conserved quantity deduced directly from the Lie symmetry for the system are obtained. An example is given to illustrate the application of the results.

关键词: nonholonomic constraint of Chetaev's type, relative motion, Nielsen equation, Hojman conserved quantity

Abstract: The Lie symmetry and Hojman conserved quantity of Nielsen equations in a dynamical system of relative motion with nonholonomic constraint of the Chetaev type are studied. The differential equations of motion of the Nielsen equation for the system, the definition and the criterion of Lie symmetry, and the expression of the Hojman conserved quantity deduced directly from the Lie symmetry for the system are obtained. An example is given to illustrate the application of the results.

Key words: nonholonomic constraint of Chetaev's type, relative motion, Nielsen equation, Hojman conserved quantity

中图分类号: (Lagrangian and Hamiltonian mechanics)

45.20.Jj

02.20.Sv (Lie algebras of Lie groups)

王肖肖, 孙现亭, 张美玲, 解银丽, 贾利群. Lie symmetry and Hojman conserved quantity of a Nielsen equation in a dynamical system of relative motion with Chetaev-type nonholonomic constraint[J]. 中国物理B, 2011, 20(12): 124501-124501.

Wang Xiao-Xiao(王肖肖), Sun Xian-Ting(孙现亭), Zhang Mei-Ling(张美玲), Xie Yin-Li(解银丽), and Jia Li-Qun(贾利群) . Lie symmetry and Hojman conserved quantity of a Nielsen equation in a dynamical system of relative motion with Chetaev-type nonholonomic constraint[J]. Chin. Phys. B, 2011, 20(12): 124501-124501.

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Lie symmetry and Hojman conserved quantity of a Nielsen equation in a dynamical system of relative motion with Chetaev-type nonholonomic constraint

Lie symmetry and Hojman conserved quantity of a Nielsen equation in a dynamical system of relative motion with Chetaev-type nonholonomic constraint

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