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)
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
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.
Received: 26 February 2007
Revised: 05 April 2007
Accepted manuscript online:
PACS:
45.20.Jj
(Lagrangian and Hamiltonian mechanics)
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10572021).
Cite this article:
Jia Li-Qun(贾利群), Zhang Yao-Yu(张耀宇), and Luo Shao-Kai(罗绍凯) Hojman conserved quantity for nonholonomic systems of unilateral non-Chetaev type in the event space 2007 Chinese Physics 16 3168
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