NOETHER’S THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS RELATIVE TO NON-INERTIAL REFERENCE FRAME

Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (6): 527-535.

NOETHER’S THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS RELATIVE TO NON-INERTIAL REFERENCE FRAME

俞慧丹, 张解放, 许友生

Physics Department of Zhejiang Normal University, Jinhua, Zhejiang

收稿日期:1992-04-02 出版日期:1993-06-18 发布日期:1993-06-18
通讯作者: Liu Ci-qun

NOETHER’S THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS RELATIVE TO NON-INERTIAL REFERENCE FRAME

Yu Hui-dan, Zhang Jie-fang, Xu You-shen

Physics Department of Zhejiang Normal University, Jinhua, Zhejiang

Received:1992-04-02 Online:1993-06-18 Published:1993-06-18

摘要/Abstract

摘要： 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.

俞慧丹;张解放;许友生. 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.

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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NOETHER’S THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS RELATIVE TO NON-INERTIAL REFERENCE FRAME

NOETHER’S THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS RELATIVE TO NON-INERTIAL REFERENCE FRAME

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