Analytical mechanics ,Unilateral constraint,Nonholonomic constraint,Lie symmetry, Conserved quantity,inverse problem
,"/> Lie Symmetries and Conserved Quantities of Nonholonomic Mechanical Systems with Unilateral Constraints

Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (1): 95-100.

• Articles • Previous Articles     Next Articles

Lie Symmetries and Conserved Quantities of Nonholonomic Mechanical Systems with Unilateral Constraints

  

  1. Department of Basic Courses, Suzhou Institute of Urban Construction &|Environmental Protection, Suzhou 215011 Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081
  • Online:2000-01-07 Published:2000-01-07

Abstract:

This paper studies the Lie symmetries of nonholonomic mechanical systems with unilateral constraints. It gives the conditions and the form of conserved quantities due to the Lie symmetries of the systems, and presents the inverse problem of the above problem, i.e., finding the corresponding Lie symmetry transformation according to a given integral of the systems. Finally, it gives an example to illustrate the application of the results.

Key words:  Analytical mechanics ')"> Analytical mechanics , Unilateral constraint, Nonholonomic constraint, Lie symmetry, Conserved quantity, inverse problem

CLC Number: 

  • 70F
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