非Chetaev型非完整系统Raitzin正则方程的Hojman守恒定理  

Hojman's Conservation Theorems for Raitzin's Canonical Equations of Nonholonomic Systems of Non-Chetaev's Type

作　　者：乔永芬[1] 孙丹娜[2] 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 [2]莱阳农学院基础部,山东莱阳265204

出　　处：《信阳师范学院学报（自然科学版）》2006年第1期21-24,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：黑龙江省自然科学基金资助课题(9507)

摘　　要：利用时间不变的无限小变换下的L ie对称性,研究了非Chetaev型非完整系统的Raitzin正则方程的Hojm an守恒定理,列出了系统的运动微分方程,建立了时间不变的无限小变换下的确定方程,给出了系统的Hojm an守恒定理,并举例说明结果的应用.Using the Lie symmetry under infinitesimal transformations in which the time is not variable, the Hojman＇s conservation theorems for Raitzin＇s canonical equations of nonholonomie systems of non-Chetaev＇s type are studied, The differential equations of the systems and the determining equations of Lie symmetry under infunitesireal transformations are givcn. The Hojman＇s conservation theorems of the systems are established. Finally, we give an example to illustrate the application of the result.

关 键 词：非完整系统 Raitzin正则方程 LIE对称性 确定方程 

分 类 号：O316[理学—一般力学与力学基础]