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A second order gradient representation of mechanics system

Lou Zhi-Mei Mei Feng-Xiang

A second order gradient representation of mechanics system

Lou Zhi-Mei, Mei Feng-Xiang
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Publishing process
  • Received Date:  14 March 2011
  • Accepted Date:  23 April 2011
  • Published Online:  05 January 2012

A second order gradient representation of mechanics system

  • 1. Department of Physics, Shaoxing University, Shaoxing 312000, China;
  • 2. Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 10932002).

Abstract: A gradient representation and a second order gradient representation of the mechanics system are studied. The differential equations of motion of the holonomic and nonholonomic mechanics systems are expressed in the canonical coordinates. A condition under which the system can be considered as a gradient system is given. A condition under which the system can be considered as a second order gradient system is obtained. Two examples are given to illustrate the application of the result.

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