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.
Received: 27 December 2005
Revised: 13 January 2006
Accepted manuscript online:
PACS:
45.50.-j
(Dynamics and kinematics of a particle and a system of particles)
Wang Jing(王静), Li Yuan-Cheng(李元成), Xia Li-Li(夏丽莉), and Hou Qi-Bao(后其宝) Lie-form invariance of non-holonomic systems with unilateral constraints 2006 Chinese Physics 15 1665
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