中国物理B ›› 2009, Vol. 18 ›› Issue (8): 3150-3154.doi: 10.1088/1674-1056/18/8/009

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A New type of conserved quantity deduced from Mei symmetry of nonholonomic systems in terms of quasi-coordinates

庞婷, 方建会, 张明江, 蔺鹏, 路凯   

  1. College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
  • 收稿日期:2008-07-28 修回日期:2009-01-09 出版日期:2009-08-20 发布日期:2009-08-20

A New type of conserved quantity deduced from Mei symmetry of nonholonomic systems in terms of quasi-coordinates

Pang Ting(庞婷), Fang Jian-Hui(方建会)† , Zhang Ming-Jiang(张明江), Lin Peng(蔺鹏), and Lu Kai(路凯)   

  1. College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
  • Received:2008-07-28 Revised:2009-01-09 Online:2009-08-20 Published:2009-08-20

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摘要： This paper studies the new type of conserved quantity which is directly induced by Mei symmetry of nonholonomic systems in terms of quasi-coordinates. A coordination function is introduced, and the conditions for the existence of the new conserved quantities as well as their forms are proposed. Some special cases are given to illustrate the generalized significance of the new type conserved quantity. Finally, an illustrated example is given to show the application of the nonholonomic system's results.

Abstract: This paper studies the new type of conserved quantity which is directly induced by Mei symmetry of nonholonomic systems in terms of quasi-coordinates. A coordination function is introduced, and the conditions for the existence of the new conserved quantities as well as their forms are proposed. Some special cases are given to illustrate the generalized significance of the new type conserved quantity. Finally, an illustrated example is given to show the application of the nonholonomic system's results.

Key words: Mei symmetry, conserved quantity, quasi-coordinate, nonholonomic system

中图分类号:  (Lagrangian and Hamiltonian mechanics)

  • 45.20.Jj
02.20.Sv (Lie algebras of Lie groups)