非完整非有势系统相对于非惯性系的广义Noether定理  

Generalized Noether's Theorem of Nonholonomic Nonpotential System in Noninertial Reference Frames

作　　者：罗绍凯[1] 

机构地区：[1]河南商丘师专

出　　处：《应用数学和力学》1991年第9期863-870,共8页Applied Mathematics and Mechanics

摘　　要：本文构造了力学系统相对运动的Lagrange函数,建立了非线性非完整非有势系统相对于非惯性系的Jourdain型变分原理,提出并证明了这类力学系统相对于非惯性系的广义Noether定理,研究了其守恒量.The new Lagrangian of the relative motion of mechanical system is constructed. And the variational principles of Jourdain's form of nonlinear nonholonomic 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 the system are studied.

关 键 词：非完整约束 非惯性系 NOETHER定理 

分 类 号：O316[理学—一般力学与力学基础]