Mei symmetry and Mei conserved quantity of nonholonomic systems with unilateral Chetaev type in Nielsen style

doi:10.1088/1674-1056/17/5/005

中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1560-1564.doi: 10.1088/1674-1056/17/5/005

Mei symmetry and Mei conserved quantity of nonholonomic systems with unilateral Chetaev type in Nielsen style

解加芳¹, 罗绍凯², 贾利群³

(1)Faculty of Science, Beijing Institute of Technology, Beijing 100081, China; (2)Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; (3)School of Science, Jiangnan University, Wuxi rm 214122, China

收稿日期:2007-08-22 修回日期:2007-09-07 出版日期:2008-05-20 发布日期:2008-05-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 10572021).

Mei symmetry and Mei conserved quantity of nonholonomic systems with unilateral Chetaev type in Nielsen style

Jia Li-Qun(贾利群)^a)†, Xie Jia-Fang(解加芳)^b), and Luo Shao-Kai(罗绍凯)^c)

^a School of Science, Jiangnan University, Wuxi 214122, China; ^b Faculty of Science, Beijing Institute of Technology, Beijing 100081, China; ^c Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China

Received:2007-08-22 Revised:2007-09-07 Online:2008-05-20 Published:2008-05-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 10572021).

摘要/Abstract

摘要： This paper studies the Mei symmetry and Mei conserved quantity for nonholonomic systems of unilateral Chetaev type in Nielsen style. The differential equations of motion of the system above are established. The definition and the criteria of Mei symmetry, loosely Mei symmetry, strictly Mei symmetry for the system are given in this paper. The existence condition and the expression of Mei conserved quantity are deduced directly by using Mei symmetry. An example is given to illustrate the application of the results.

关键词: Nielsen style, unilateral nonholonomic constrained system, Mei symmetry, Mei conserved quantity

Abstract: This paper studies the Mei symmetry and Mei conserved quantity for nonholonomic systems of unilateral Chetaev type in Nielsen style. The differential equations of motion of the system above are established. The definition and the criteria of Mei symmetry, loosely Mei symmetry, strictly Mei symmetry for the system are given in this paper. The existence condition and the expression of Mei conserved quantity are deduced directly by using Mei symmetry. An example is given to illustrate the application of the results.

Key words: Nielsen style, unilateral nonholonomic constrained system, Mei symmetry, Mei conserved quantity

中图分类号: (General theory of classical mechanics of discrete systems)

45.05.+x

02.30.Jr (Partial differential equations)

贾利群, 解加芳, 罗绍凯. Mei symmetry and Mei conserved quantity of nonholonomic systems with unilateral Chetaev type in Nielsen style[J]. 中国物理B, 2008, 17(5): 1560-1564.

Jia Li-Qun(贾利群), Xie Jia-Fang(解加芳), and Luo Shao-Kai(罗绍凯) . Mei symmetry and Mei conserved quantity of nonholonomic systems with unilateral Chetaev type in Nielsen style[J]. Chin. Phys. B, 2008, 17(5): 1560-1564.

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Mei symmetry and Mei conserved quantity of nonholonomic systems with unilateral Chetaev type in Nielsen style

Mei symmetry and Mei conserved quantity of nonholonomic systems with unilateral Chetaev type in Nielsen style

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