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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.
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关键词:
- 非Chetaev型约束系统 /
- 机电系统 /
- 统一对称性 /
- 守恒量
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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