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)
aSchool of Science, Jiangnan University, Wuxi 214122, China; bFaculty of Science, Beijing Institute of Technology, Beijing 100081, China; cInstitute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China
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.
Received: 22 August 2007
Revised: 07 September 2007
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
Fund: Project supported by
the National Natural Science
Foundation of China (Grant No 10572021).
Cite this article:
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 2008 Chin. Phys. B 17 1560
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