| NOETHER’S THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS RELATIVE TO NON-INERTIAL REFERENCE FRAME |
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| 引用本文： | 俞慧丹,张解放,许友生.NOETHER’S THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS RELATIVE TO NON-INERTIAL REFERENCE FRAME[J].应用数学和力学(英文版),1993,14(6):527-535. |
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| 作者姓名： | 俞慧丹 张解放 许友生 |
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| 作者单位： | Physics Department of Zhejiang Normal University，Jinhua，Zhejiang，Physics Department of Zhejiang Normal University，Jinhua，Zhejiang，Physics Department of Zhejiang Normal University，Jinhua，Zhejiang |
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| 摘 要： | The new variational principle of Gauss’s form of nonlinear nonholonomicnonpotential system relative to non-inertial reference frame is established byconstructing generalized inertial potentials.Noether’s theorem and Noether’s inversetheorem of the system above is presented and proved.Finally,one example is given toillustrate the application.
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| 关 键 词： | generalized potential non-inertial reference frame nonholonomic nonpotential system Gauss’s variational principle Noether’s theorem Noether’s inverse theorem |
| 收稿时间： | 2 April 1992 |
Noether's theory for nonholonomic dynamical systems relative to non-inertial reference frame |
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| Yu Hui-dan,Zhang Jie-fang,Xu You-shen.Noether's theory for nonholonomic dynamical systems relative to non-inertial reference frame[J].Applied Mathematics and Mechanics(English Edition),1993,14(6):527-535. |
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| Authors: | Yu Hui-dan Zhang Jie-fang Xu You-shen |
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| Institution: | (1) Physics Department of Zhejiang Normal University, Jinhua, Zhejiang |
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| 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. |
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| Keywords: | generalized potential non-inertial reference frame nonholonomic nonpotential system Gauss's variational principle Noether's theorem Noether's inverse theorem |
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