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中国物理学会期刊

具有非Chetaev型非完整约束的机电系统的统一对称性

CSTR: 32037.14.aps.58.6732

Unified symmetry of mechanico-electrical systems with nonholonomic constraints of non-Chetaev’s type

CSTR: 32037.14.aps.58.6732
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  • 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.

     

    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.

     

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