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基于函数对时间的全导数采用沿系统的运动轨线方式, 研究非Chetaev型非完整可控力学系统的Noether-形式不变性. 给出非Chetaev型非完整可控力学系统的Noether-形式不变性的定义和判据. 由Noether-形式不变性同时得到了Noether守恒量和新型守恒量. 并举例说明结果的应用.
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关键词:
- 非Chetaev型非完整系统 /
- 可控力学系统 /
- Noether-形式不变性 /
- 守恒量
Based on the total time derivative along the trajectory of the system, the definition and the criterion of Noether form invariance of nonholonomic controllable mechanical systems of non-Chetaev’s type are presented. A new conserved quantity, as well as the Noether conserved quantity are deduced from the Noether-form invariance. An example is given to illustrate the application of the result.-
Keywords:
- nonholonomic mechanical system of non-Chetaev’s type /
- controllable mechanical system /
- Noether-form invariance /
- conserved quantity







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