Hojman conserved quantity for nonholonomic systems of unilateral non-Chetaev type in the event space |
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| Authors: | Jia Li-Qun Zhang Yao-Yu and Luo Shao-Kai |
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| Affiliation: | School of Science, Jiangnan University, Wuxi 214122, China; Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China; Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China |
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| 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. |
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| Keywords: | event space unilateral nonholonomic system Hojman conserved quantity |
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