非完整系统相对于非惯性系的Noether理论

俞慧丹; 张解放; 许友生

非完整系统相对于非惯性系的Noether理论

浙江师范大学物理系金华

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出版历程
- 收稿日期: 1992-04-02
- 刊出日期: 1993-06-15

Noether s Theory for Nonholonomic Dynamical Systems Relative to Noninertial Reference Frame

Physics Dept. of Zhejiang Normal University, Jinhua, Zhejiang

摘要

摘要: 本文通过构造广义惯性势,建立起非完整系统相对于非惯性系的新型Gauss型变分原理.提出并证明了非完整系统相对于非惯性系的Noether定理和逆定理.最后举例说明其应用.
- 广义势 /
- 非惯性参照系 /
- 非完整非有势系统 /
- Gauss型变分原理 /
- Noether定理 /
- Noether逆定理
Abstract: The new variational principle of Gauss's form of nonlinear nonholonomic nonpotential system relative to non-inertial reference frame is established by constructing generalized inertial potentials. Naether's theorem and Naether's inverse theorem of the system above is presented and proved. Finally, one example is given to illustrate the application.
- generalized potential /
- non-inertial reference frame /
- nonholonomic nonpotential system /
- Gauss’s variational principle /
- Noether’s theorem /
- Noether’s inverse theorem

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参考文献(18)

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