Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (1): 59-66.

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NOETHER’S THEORY OF MECHANICAL SYSTEMS WITH UNILATERAL CONSTRAINTS

Zhang Yi1, Mei Fengxiang2   

  1. 1. Suzhou Institute of Urban Construction & Environmental Protection, Suzhou 215011, P R China;
    2. Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P R China
  • Received:1997-12-08 Revised:1999-06-11 Online:2000-01-18 Published:2000-01-18
  • Supported by:

    the National Natural Science Foundation of China(19572018);the Doctoral Programme Foundation of Institution of Higher Education of China

Abstract: Noether’s theory of dynamical systems with unilateral constraints by introducing the generalized quasi_symmetry of the infinitesimal transformation for the transformation group Gr is presented and two examples to illustrate the application of the result are given.

Key words: analytical mechanics, unilateral constraint, conservation law, symmetry, Noether’s theorem

2010 MSC Number: 

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