Conservation laws and symmetries of systems with unilateral constraints in phase space |
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| Authors: | Zhang Yi and Mei Fengxiang |
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| Affiliation: | (1) Department of Basic Courses, Suzhou Institute of Urban Construction and Environmental Protection, 215011 Suzhou, China;(2) Department of Applied Mechanics, Beijing Institute of Technology, 100081 Beijing, China |
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| Abstract: | By introducing the generalized quasi-symmetry of the infinitestinal transformation for transformation groupG r , this paper studies the conservation laws and symmetries of dynamical systems with unilateral constraints in phase space. Noether's theorem and Noether's inverse theorem for mechanical systems with unilateral constraints in phase space are obtained and two kinds of equivalent forms of generalized Killing equations which are used to determine the generators of the infinitestinmal group transformation are given. The project sponsored by the National Natural Science Foundation and the Doctoral Programme Foundation of Institution of Higher Education of China. |
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| Keywords: | analytical mechanics conservation law symmetry unilateral constraint phase space Noether's theorem Noether's inverse theorem |
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