摘要: |
根据系统的运动微分方程,给出伺服约束非完整系统的新对称性的定义和判据,得到了系统的Noether-Mei对 称性导出的Noether守恒量和Mei守恒量。举例说明结果的应用。 |
关键词: 伺服约束 非完整系统 Noether-Mei对称性 守恒量 |
DOI:10.3969/j.issn.1673-5005.2010.02.033 |
分类号:0 313 |
基金项目: |
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Noether-Mei symmetry of nonholonomic systems with servoconstraints |
WANG Xiao-ming1,LI Yuan-cheng1,ZHANG Pei-ling2,JING Hong-xing1
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(1. Collage of Physics Science and Technology in China University of Petroleum, Dongying 257061,China;2. Beijing SPC Enviroment Protection Tech Co. , LTD, Beijing 100036, China)
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Abstract: |
The definition and the criterion of a Noether-Mei symmetry for the nonholonomic systems with servoconstraints, as well as the Noether conserved quantity and the Mai conserved quantity deduced from the Noether-Mei symmetry for the system were given. An example was given to illustrate the application of the results. |
Key words: servoconstraints nonholonomic systems Noether-Mei symmetry conserved quantity |