完整非保守系统Raitzin正则方程的形式不变性和守恒量  

Form invariance of Raitzin's canonical equations of holonomic nonconservative mechanical system

作　　者：乔永芬[1] 孙福田[1] 赵淑红[1] 

机构地区：[1]东北农业大学工程学院,黑龙江哈尔滨150030

出　　处：《商丘师范学院学报》2005年第2期18-21,共4页Journal of Shangqiu Normal University

基　　金：黑龙江省自然科学基金资助项目(9507)

摘　　要：研究完整非保守系统Raitzin正则方程的形式不变性和守恒量.首先,建立系统的Raitzin正则方程.其次,给出在无限小变换群下系统形式不变性的定义和判据.最后,建立系统形式不变性和守恒量之间的关系并举例说明结果的应用.Form invariance and conserved quantity of Raitzin's canonical equations of holonomic nonconservative mechanical system is studied.First,the Raitzin's canonical equations of the system are established.Next,the definition and criterion of the form invariance in the system under infinitesimal transformations of groups are given.Finally,the relation between the form invariance and the conserved quantity of the system is obtained and an example is given to illustrate the application of the result.

关 键 词：形式不变性 守恒量 Raitzin正则方程 非保守力 完整系统 

分 类 号：O316[理学—一般力学与力学基础]