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

作　　者：俞慧丹 张解放 许友生 

机构地区：[1]Physics Department of Zhejiang Normal University, Jinhua, Zhejiang

出　　处：《Applied Mathematics and Mechanics(English Edition)》1993年第6期527-535,共9页应用数学和力学（英文版）

摘　　要：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.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.

关 键 词：generalized potential non-inertial reference frame nonholonomic nonpotential system Gauss's variational principle Noether's theorem Noether's inverse theorem 

分 类 号：O3，O1[理学—力学]