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具有非Chetaev型非完整约束的机电系统的统一对称性
引用本文:李元成,夏丽莉,王小明. 具有非Chetaev型非完整约束的机电系统的统一对称性[J]. 物理学报, 2009, 58(10): 6732-6736
作者姓名:李元成  夏丽莉  王小明
作者单位:(1)河南教育学院物理系,郑州 450014; (2)中国石油大学(华东)物理科学与技术学院,东营 257061
摘    要:研究具有非Chetaev型非完整约束的机电系统的统一对称性. 由系统的Lagrange-Maxwell方程, 给出系统的统一对称性的定义和判据, 得到了系统的统一对称性导出的Noether守恒量、Hojman守恒量和Mei守恒量. 举例说明结果的应用.关键词:非Chetaev型约束系统机电系统统一对称性守恒量

关 键 词:非Chetaev型约束系统  机电系统  统一对称性  守恒量
收稿时间:2008-12-17

Unified symmetry of mechanico-electrical systems with nonholonomic constraints of non-Chetaev's type
Li Yuan-Cheng,Xia Li-Li,Wang Xiao-Ming. Unified symmetry of mechanico-electrical systems with nonholonomic constraints of non-Chetaev's type[J]. Acta Physica Sinica, 2009, 58(10): 6732-6736
Authors:Li Yuan-Cheng  Xia Li-Li  Wang Xiao-Ming
Abstract:The unified symmetry of mechanico-electrical systems with nonholonomic constraints of non-Chetaev’s type are studied, and the definition and the criterion of unified symmetry of mechanico-electrical systems are deduced from the Lagrange-Maxwell equations. The Noether conserved quantity, the Hojman conserved quantity and a new conserved quantity deduced from the unified symmetry are obtained. An example is given to illustrate the application of the results.
Keywords:mechanical systems with non-Chetaev's constraints   mechanico-electrical systems   unified symmetry   conserved quantity
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