中国物理B ›› 2006, Vol. 15 ›› Issue (8): 1665-1668.doi: 10.1088/1009-1963/15/8/003

• GENERAL • 上一篇    下一篇

Lie-form invariance of non-holonomic systems with unilateral constraints

王　静, 李元成, 夏丽莉, 后其宝   

  1. College of Physics Science and Technology, University of Petroleum (East China), Dongying 257061, China
  • 收稿日期:2005-12-27 修回日期:2006-01-13 出版日期:2006-08-20 发布日期:2006-08-20

Lie-form invariance of non-holonomic systems with unilateral constraints

Wang Jing(王静), Li Yuan-Cheng(李元成), Xia Li-Li(夏丽莉), and Hou Qi-Bao(后其宝)   

  1. College of Physics Science and Technology, University of Petroleum (East China), Dongying 257061, China
  • Received:2005-12-27 Revised:2006-01-13 Online:2006-08-20 Published:2006-08-20

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摘要： In this paper the Lie-form invariance of the non-holonomic systems with unilateral constraints is studied. The definition and the criterion of the Lie-form invariance of the system are given. The generalized Hojman conserved quantity and a new type of conserved quantity deduced from the Lie-form invariance are obtained. Finally, an example is presented to illustrate the application of the results.

Abstract: In this paper the Lie-form invariance of the non-holonomic systems with unilateral constraints is studied. The definition and the criterion of the Lie-form invariance of the system are given. The generalized Hojman conserved quantity and a new type of conserved quantity deduced from the Lie-form invariance are obtained. Finally, an example is presented to illustrate the application of the results.

Key words: unilateral constraint, non-holonomic system, symmetry, conserved quantity

中图分类号:  (Dynamics and kinematics of a particle and a system of particles)

  • 45.50.-j
45.20.Jj (Lagrangian and Hamiltonian mechanics)