Unified symmetry of mechano-electrical systems with nonholonomic constraints

doi:10.1088/1674-1056/17/5/002

中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1545-1549.doi: 10.1088/1674-1056/17/5/002

Unified symmetry of mechano-electrical systems with nonholonomic constraints

李元成, 夏丽莉, 刘冰, 焦志勇, 王小明

College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China

收稿日期:2007-01-13 修回日期:2007-06-20 出版日期:2008-05-20 发布日期:2008-05-20

Unified symmetry of mechano-electrical systems with nonholonomic constraints

Li Yuan-Cheng(李元成), Xia Li-Li(夏丽莉), Liu Bing(刘冰), Jiao Zhi-Yong(焦志勇), and Wang Xiao-Ming(王小明)

College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China

Received:2007-01-13 Revised:2007-06-20 Online:2008-05-20 Published:2008-05-20

摘要/Abstract

摘要： The unified symmetry of mechano-electrical systems with nonholonomic constraints are studied in this paper, the definition and the criterion of unified symmetry of mechano-electrical systems with nonholonomic constraints are derived from the Lagrange--Maxwell equations. The Noether conserved quantity, Hojman conserved quantity and Mei conserved quantity are then deduced from the unified symmetry. An example is given to illustrate the application of the results.

Abstract: The unified symmetry of mechano-electrical systems with nonholonomic constraints are studied in this paper, the definition and the criterion of unified symmetry of mechano-electrical systems with nonholonomic constraints are derived from the Lagrange--Maxwell equations. The Noether conserved quantity, Hojman conserved quantity and Mei conserved quantity are then deduced from the unified symmetry. An example is given to illustrate the application of the results.

Key words: nonholonomic constraints, mechano-electrical systems, unified symmetry, conserved quantity

中图分类号: (General theory of classical mechanics of discrete systems)

45.05.+x

李元成, 夏丽莉, 刘冰, 焦志勇, 王小明. Unified symmetry of mechano-electrical systems with nonholonomic constraints[J]. 中国物理B, 2008, 17(5): 1545-1549.

Li Yuan-Cheng(李元成), Xia Li-Li(夏丽莉), Liu Bing(刘冰), Jiao Zhi-Yong(焦志勇), and Wang Xiao-Ming(王小明). Unified symmetry of mechano-electrical systems with nonholonomic constraints[J]. Chin. Phys. B, 2008, 17(5): 1545-1549.

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Unified symmetry of mechano-electrical systems with nonholonomic constraints

Unified symmetry of mechano-electrical systems with nonholonomic constraints

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