非完整非有势系统相对于非惯性系的广义Noether定理

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Generalized Noether’s Theorem of Nonholonomic Nonpotential System in Noninertial Reference Frames

摘要: 本文构造了力学系统相对运动的Lagrange函数,建立了非线性非完整非有势系统相对于非惯性系的Jourdain型变分原理,提出并证明了这类力学系统相对于非惯性系的广义Noether定理,研究了其守恒量.
- 非惯性参考系 /
- 非完整约束 /
- 动力学守恒律 /
- Noether定理
Abstract: The new Lagrangian of the relative motion of mechanical system is constructed,the varialional principles of Jourdain's form of nonlinear nonlwlonomic nonpotential system in noninertial reference frame are established,the generalized Noether's theorem of the system above is presented and proved,and the conserved quantities of system are studied.
- noninertial reference trame /
- nonholonomic constraint /
- conservation law of dynamics /
- Noether's theorem

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