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Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (7): 669-676.

• 论文 • 上一篇    下一篇

NOETHER’S THEORY OF VACCO DYNAMICS

张解放   

  1. Department of Physics, Zhejiang Normal University, Jinhua, Zhejiang
  • 收稿日期:1991-12-27 出版日期:1993-07-18 发布日期:1993-07-18

NOETHER’S THEORY OF VACCO DYNAMICS

Zhang Jie-fang   

  1. Department of Physics, Zhejiang Normal University, Jinhua, Zhejiang
  • Received:1991-12-27 Online:1993-07-18 Published:1993-07-18

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摘要： In this paper, we first study the latent relation between the conservative quantity and the symmetry of nonholonomic dynamical systems without any additional restrictive conditions to its virtual displacement, and then establish Noether’s theorem and Noether’s inverse theorem of Vacco dynamics. Lastly, we give two examples to illustrate the application of result of this paper.

Abstract: In this paper, we first study the latent relation between the conservative quantity and the symmetry of nonholonomic dynamical systems without any additional restrictive conditions to its virtual displacement, and then establish Noether’s theorem and Noether’s inverse theorem of Vacco dynamics. Lastly, we give two examples to illustrate the application of result of this paper.

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