中国物理B ›› 2007, Vol. 16 ›› Issue (7): 1827-1831.doi: 10.1088/1009-1963/16/7/003

• GENERAL • 上一篇    下一篇

Mei symmetry and generalized Hojman conserved quantity for variable mass systems with unilateral holonomic constraints

荆宏星, 李元成, 王静, 夏丽莉, 后其宝   

  1. College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
  • 收稿日期:2006-10-10 修回日期:2006-11-04 出版日期:2007-07-04 发布日期:2007-07-04

Mei symmetry and generalized Hojman conserved quantity for variable mass systems with unilateral holonomic constraints

Jing Hong-Xing(荆宏星), Li Yuan-Cheng(李元成), Wang Jing(王静), Xia Li-Li(夏丽莉), and Hou Qi-Bao(后其宝)   

  1. College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
  • Received:2006-10-10 Revised:2006-11-04 Online:2007-07-04 Published:2007-07-04

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摘要： This paper studies Mei symmetry which leads to a generalized Hojman conserved quantity for variable mass systems with unilateral holonomic constraints. The differential equations of motion for the systems are established, the definition and criterion of the Mei symmetry for the systems are given. The necessary and sufficient condition under which the Mei symmetry is a Lie symmetry for the systems is obtained and a generalized Hojman conserved quantity deduced from the Mei symmetry is got. An example is given to illustrate the application of the results.

Abstract: This paper studies Mei symmetry which leads to a generalized Hojman conserved quantity for variable mass systems with unilateral holonomic constraints. The differential equations of motion for the systems are established, the definition and criterion of the Mei symmetry for the systems are given. The necessary and sufficient condition under which the Mei symmetry is a Lie symmetry for the systems is obtained and a generalized Hojman conserved quantity deduced from the Mei symmetry is got. An example is given to illustrate the application of the results.

Key words: variable mass, unilateral holonomic constraint, Mei symmetry, generalized Hojman conserved quantity

中图分类号:  (General linear dynamical systems)

  • 45.30.+s
02.20.Qs (General properties, structure, and representation of Lie groups) 02.30.Jr (Partial differential equations) 45.20.Jj (Lagrangian and Hamiltonian mechanics)