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Chinese Physics, 2001, Vol. 10(5): 376-379    DOI: 10.1088/1009-1963/10/5/302
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NOETHER'S THEOREM OF NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS

Li Yuan-cheng (李元成)a, Zhang Yi (张毅)b, Liang Jing-hui (梁景辉)c, Mei Feng-xiang(梅凤翔)d 
a Department of Applied Physics, University of Petroleum, Dongying 257062, China; b Department of Basic Courses, Suzhou Institute of Urban Construction & Environmental Protection, Suzhou 215011, China; c Department of Physics, Shanxi Normal University, Linfen 041004, China; d Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China
Abstract  In this paper, we present Noether's theorem and its inverse theorem for nonholonomic systems of non-Chetaev's type with unilateral constraints. We present first the principle of Jourdain for the system and, on the basis of the invariance of the differential variational principle under the infinitesimal transformations of groups, we have established Noether's theory for the above systems. An example is given to illustrate the application of the result.
Keywords:  analytical mechanics      unilateral constraint      nonholonomic system      Noether's theorem  
Received:  29 July 2000      Revised:  30 December 2000      Accepted manuscript online: 
PACS:  02.30.Xx (Calculus of variations)  
  02.20.-a (Group theory)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No.19572018).

Cite this article: 

Li Yuan-cheng (李元成), Zhang Yi (张毅), Liang Jing-hui (梁景辉), Mei Feng-xiang (梅凤翔) NOETHER'S THEOREM OF NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS 2001 Chinese Physics 10 376

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