中国物理B ›› 2007, Vol. 16 ›› Issue (6): 1521-1525.doi: 10.1088/1009-1963/16/6/005

• GENERAL • 上一篇    下一篇

Unified symmetry of the nonholonomic system of non-Chetaev type with unilateral constraints in event space

后其宝, 李元成, 王静, 夏丽莉   

  1. College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
  • 收稿日期:2006-09-23 修回日期:2006-10-10 出版日期:2007-06-20 发布日期:2007-06-20

Unified symmetry of the nonholonomic system of non-Chetaev type with unilateral constraints in event space

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

  1. College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
  • Received:2006-09-23 Revised:2006-10-10 Online:2007-06-20 Published:2007-06-20

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摘要： This paper studies the unified symmetry of a nonholonomic system of non-Chetaev type with unilateral constraints in event space under infinitesimal transformations of group. Firstly, it gives the differential equations of motion of the system. Secondly, it obtains the definition and the criterion of the unified symmetry for the system. Thirdly, a new conserved quantity, besides the Noether conserved quantity and the Hojman conserved quantity, is deduced from the unified symmetry of a nonholonomic system of non-Chetaev type with unilateral constraints. Finally, an example is given to illustrate the application of the results.

Abstract: This paper studies the unified symmetry of a nonholonomic system of non-Chetaev type with unilateral constraints in event space under infinitesimal transformations of group. Firstly, it gives the differential equations of motion of the system. Secondly, it obtains the definition and the criterion of the unified symmetry for the system. Thirdly, a new conserved quantity, besides the Noether conserved quantity and the Hojman conserved quantity, is deduced from the unified symmetry of a nonholonomic system of non-Chetaev type with unilateral constraints. Finally, an example is given to illustrate the application of the results.

Key words: event space, unilateral constraint, unified symmetry, conserved quantity

中图分类号:  (Partial differential equations)

  • 02.30.Jr
02.20.-a (Group theory)