用积分因子方法研究非完整约束系统的守恒律  

Integrating factors and conservation laws for non-holonomic dynamical systems

作　　者：张毅[1] 葛伟宽[2] 

机构地区：[1]苏州科技学院土木工程系,苏州215011 [2]湖州师范学院物理系,湖州313000

出　　处：《物理学报》2003年第10期2363-2367,共5页Acta Physica Sinica

基　　金：国家自然科学基金 (批准号:19972 0 10 );江苏省青蓝工程基金资助的课题~~

摘　　要：用积分因子方法研究非线性非完整约束系统的守恒律 .给出了非完整约束系统的Routh方程的积分因子的定义 ,研究了守恒量存在的必要条件 ,建立了系统的守恒定理及其逆定理 。In this paper, we present a general approach to the construction of conservation laws for nonlinear non-holonomic dynamical systems by finding corresponding integrating factors. The definition of integrating factors for the Routh equations of non-holonomic systems is given, and the necessary conditions for the existence of conserved quantities of the non-holonomic dynamical systems are studied in detail. The conservation theorem and its inverse for the systems are established, and an example is given to illustrate the application of the results.

关 键 词：非完整约束系统 守恒律 积分因子方法 ROUTH方程 守恒量 

分 类 号：O316[理学—一般力学与力学基础]