Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (9): 927-934.

• 论文 • 上一篇    

GENERALIZED NOETHER’S THEOREM OF NONHOLONOMIC NONPOTENTIAL SYSTEM IN NONINERTIAL REFERENCE FRAMES

罗绍凯   

  1. Shangqin Teachers College, Henan
  • 收稿日期:1990-09-03 出版日期:1991-09-18 发布日期:1991-09-18

GENERALIZED NOETHER’S THEOREM OF NONHOLONOMIC NONPOTENTIAL SYSTEM IN NONINERTIAL REFERENCE FRAMES

Luo Shao-kai   

  1. Shangqin Teachers College, Henan
  • Received:1990-09-03 Online:1991-09-18 Published:1991-09-18

摘要: The new Lagrangian of the relative motion of mechanical system is constructed, the varialional principles of Jourdain's form of nonlinear nonlwlonomic nonpotential system in noninertial reference frame are established, the generalized Noether's theorem of the system above is presented and proved, and the conserved quantities of system are studied.

关键词: noninertial reference trame, nonholonomic constraint, conservation law of dynamics, Noether’s theorem

Abstract: The new Lagrangian of the relative motion of mechanical system is constructed, the varialional principles of Jourdain's form of nonlinear nonlwlonomic nonpotential system in noninertial reference frame are established, the generalized Noether's theorem of the system above is presented and proved, and the conserved quantities of system are studied.

Key words: noninertial reference trame, nonholonomic constraint, conservation law of dynamics, Noether’s theorem

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