中国物理B ›› 2004, Vol. 13 ›› Issue (5): 589-591.doi: 10.1088/1009-1963/13/5/005

• GENERAL • 上一篇    下一篇

A new conserved quantity of mechanical systems with differential constraints

吴惠彬   

  1. Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2003-07-28 修回日期:2003-11-11 出版日期:2005-07-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 19972010 and 10272021).

A new conserved quantity of mechanical systems with differential constraints

Wu Hui-Bin (吴惠彬)   

  1. Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2003-07-28 Revised:2003-11-11 Online:2005-07-06 Published:2005-07-06
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 19972010 and 10272021).

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摘要： 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.

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.

Key words: analytical mechanics, differential constraint, symmetry, conserved quantity

中图分类号:  (Computational methods in classical mechanics)

  • 45.10.-b
45.20.Jj (Lagrangian and Hamiltonian mechanics) 02.30.Hq (Ordinary differential equations)