Abstract This paper studies the unified symmetry of a nonholonomic system of non-Chetaev type with unilateral constraints in event space under infinitesimal transformations of group. Firstly, it gives the differential equations of motion of the system. Secondly, it obtains the definition and the criterion of the unified symmetry for the system. Thirdly, a new conserved quantity, besides the Noether conserved quantity and the Hojman conserved quantity, is deduced from the unified symmetry of a nonholonomic system of non-Chetaev type with unilateral constraints. Finally, an example is given to illustrate the application of the results.
Received: 23 September 2006
Revised: 10 October 2006
Accepted manuscript online:
Hou Qi-Bao(后其宝), Li Yuan-Cheng(李元成), Wang Jing(王静), and Xia Li-Li(夏丽莉) Unified symmetry of the nonholonomic system of non-Chetaev type with unilateral constraints in event space 2007 Chinese Physics 16 1521
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