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

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

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(6): 499-506

Yu Hui-dan, Zhang Jie-fang, Xu You-shen. Noether s Theory for Nonholonomic Dynamical Systems Relative to Noninertial Reference Frame[J]. Applied Mathematics and Mechanics, 1993, 14(6): 499-506.

Citation:

Yu Hui-dan, Zhang Jie-fang, Xu You-shen. Noether s Theory for Nonholonomic Dynamical Systems Relative to Noninertial Reference Frame[J]. Applied Mathematics and Mechanics, 1993, 14(6): 499-506.

Citation:

Yu Hui-dan, Zhang Jie-fang, Xu You-shen. Noether s Theory for Nonholonomic Dynamical Systems Relative to Noninertial Reference Frame[J]. Applied Mathematics and Mechanics, 1993, 14(6): 499-506.

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

Physics Dept. of Zhejiang Normal University, Jinhua, Zhejiang

Received Date: 1992-04-02
Publish Date: 1993-06-15

Abstract

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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References(18)

References

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