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Chinese Physics, 2004, Vol. 13(5): 589-591    DOI: 10.1088/1009-1963/13/5/005
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A new conserved quantity of mechanical systems with differential constraints

Wu Hui-Bin (吴惠彬)
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
Abstract  A new conserved quantity of non-Noether symmetry for the mechanical systems with differential constraints is studied. First, the differential equations of motion of the systems are established. Then, the determining equations and restriction equations of the non-Noether symmetry are obtained and a new conserved quantity is given. Finally, an example is given to illustrate the application of the results.
Keywords:  analytical mechanics      differential constraint      symmetry      conserved quantity  
Received:  28 July 2003      Revised:  11 November 2003      Accepted manuscript online: 
PACS:  45.10.-b (Computational methods in classical mechanics)  
  45.20.Jj (Lagrangian and Hamiltonian mechanics)  
  02.30.Hq (Ordinary differential equations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 19972010 and 10272021).

Cite this article: 

Wu Hui-Bin (吴惠彬) A new conserved quantity of mechanical systems with differential constraints 2004 Chinese Physics 13 589

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