非保守力对广义力学系统Lie对称性的影响  

Effects of non-conservative forces on Lie symmetries of a generalized mechanical system

作　　者：张毅[1] 范存新[1] 

机构地区：[1]苏州科技学院土木工程系,江苏苏州215011

出　　处：《商丘师范学院学报》2005年第2期13-17,共5页Journal of Shangqiu Normal University

基　　金：江苏省高校自然科学基金(批准号:04KJA130135);江苏省青蓝工程基金资助项目

摘　　要：研究非保守力对广义力学系统的Lie对称性和守恒量的影响.建立了广义力学系统的运动微分方程,给出了系统受非保守力作用时,其Lie对称性的结构方程和守恒量保持不变的条件,并举例说明结果的应用.In this paper,the effects of non-conservative forces on Lie symmetries and conserved quantities of a generalized mechanical system are studied.The differential equations of motion of the system are established.When non-conservative forces are inserted in the system,the conditions under which the structure equation of Lie symmetries and conserved quantities of the system will remain present are obtained,and an examples is given to illustrate the application of the results.

关 键 词：广义力学系统 非保守力 对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]