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

GENERALIZED NOETHER'S THEOREM OF NONHOLONOMIC NONPOTENTIAL SYSTEM IN NONINERTIAL REFERENCE FRAMES
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摘要 The new Lagrangian of the relative motion of mechanical system is constructed, the varialional principles oj 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. The new Lagrangian of the relative motion of mechanical system is constructed, the varialional principles oj 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.
作者 罗绍凯
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第9期927-934,共8页 应用数学和力学(英文版)
关键词 noninertial reference trame nonholonomic constraint conservation law of dynamics. Noether's theorem noninertial reference trame,nonholonomic constraint, conservation law of dynamics. Noether's theorem
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参考文献2

  • 1Prof. Dr. B. Vujanovic. A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss[J] 1987,Acta Mechanica(1-4):63~80
  • 2Docent Dj. S. Djukic,Prof. B. D. Vujanovic. Noether’s theory in classical nonconservative mechanics[J] 1975,Acta Mechanica(1-2):17~27

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