中国物理B ›› 2007, Vol. 16 ›› Issue (11): 3168-3175.doi: 10.1088/1009-1963/16/11/004

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Hojman conserved quantity for nonholonomic systems of unilateral non-Chetaev type in the event space

张耀宇1, 罗绍凯2, 贾利群3   

  1. (1)Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China; (2)Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; (3)School of Science, Jiangnan University, Wuxi 214122, China
  • 收稿日期:2007-02-26 修回日期:2007-04-05 出版日期:2007-11-20 发布日期:2007-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10572021).

Hojman conserved quantity for nonholonomic systems of unilateral non-Chetaev type in the event space

Jia Li-Qun(贾利群)a)†, Zhang Yao-Yu(张耀宇)b), and Luo Shao-Kai(罗绍凯)c)   

  1. a School of Science, Jiangnan University, Wuxi 214122, China; b Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China; c Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China
  • Received:2007-02-26 Revised:2007-04-05 Online:2007-11-20 Published:2007-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10572021).

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摘要： Hojman conserved quantities deduced from the special Lie symmetry, the Noether symmetry and the form invariance for a nonholonomic system of the unilateral non-Chetaev type in the event space are investigated. The differential equations of motion of the system above are established. The criteria of the Lie symmetry, the Noether symmetry and the form invariance are given and the relations between them are obtained. The Hojman conserved quantities are gained by which the Hojman theorem is extended and applied to the nonholonomic system of the unilateral non-Chetaev type in the event space. An example is given to illustrate the application of the results.

Abstract: Hojman conserved quantities deduced from the special Lie symmetry, the Noether symmetry and the form invariance for a nonholonomic system of the unilateral non-Chetaev type in the event space are investigated. The differential equations of motion of the system above are established. The criteria of the Lie symmetry, the Noether symmetry and the form invariance are given and the relations between them are obtained. The Hojman conserved quantities are gained by which the Hojman theorem is extended and applied to the nonholonomic system of the unilateral non-Chetaev type in the event space. An example is given to illustrate the application of the results.

Key words: event space, unilateral nonholonomic system, Hojman conserved quantity

中图分类号:  (Lagrangian and Hamiltonian mechanics)

  • 45.20.Jj