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Acta Armamentarii ›› 2012, Vol. 33 ›› Issue (11): 1342-1345.doi: 10.3969/j.issn.1000-1093.2012.11.011

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A Kind of Conserved Quantity Induced by Lie Symmetry of Nonholonomic Mechanical System

SHEN Yue, ZHANG Ling-tan   

  1. (College of Science, China University of Petroleum, Qingdao 266580, Shandong, China)
  • Received:2011-05-09 Revised:2011-05-09 Online:2014-01-10
  • Contact: SHEN Yue E-mail:sheny1961@yahoo.com.cn

Abstract: It represents important not only theoretical but also practical significance to study the symmetry and conserved quantity of nonholonomic mechanical system. A kind of conserved quantity directly induced by Lie symmetry is studied by using infinitesimal group transformation analysis. Firstly, the criterion of Lie symmetry for nonholonomic mechanical system is given. Secondly, the existential condition of the conserved quantity and its forms are obtained. Finally, an example is given to illustrate the application of the results.

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