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Hojman conserved quantities of generalized linear nonholonomic mechanical systems

Dong Wen-Shan Huang Bao-Xin Fang Jian-Hui

Hojman conserved quantities of generalized linear nonholonomic mechanical systems

Dong Wen-Shan, Huang Bao-Xin, Fang Jian-Hui
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Publishing process
  • Received Date:  18 April 2009
  • Accepted Date:  19 May 2009
  • Published Online:  05 January 2010

Hojman conserved quantities of generalized linear nonholonomic mechanical systems

  • 1. (1)潍坊学院物理与电子科学系,潍坊 261061; (2)中国石油大学应用物理系,东营 257061

Abstract: We study the Lie symmetries and Hojman conserved quantities of generalized linear nonholonomic mechanical systems. Under special infinitesimal transformations in which the time is invariable,the determining equations,the constrained restriction equations and the additional restriction equations of the nonholonomic mechanical systems are obtained. The Hojman conserved quantity of the corresponding holonomic systems,the weakly Hojman conserved quantity and the strongly Hojman conserved quantity of the linear nonholonomic systems are obtained. An example to illustrate the application of the result is given.

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