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

• Articles • Previous Articles     Next Articles

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

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

  1. Physics Department of Zhejiang Normal University, Jinhua, Zhejiang
  • Received:1992-04-02 Online:1993-06-18 Published:1993-06-18

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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