准坐标下广义力学系统运动微分方程的形式不变性  

On the form invariance of differential equations of motion for generalized mechanical system in terms of quasi-coordinates

作　　者：乔永芬 李仁杰[2] 赵淑红[3] 

机构地区：[1]浙江工程学院机械工程与自动化分院,浙江杭州310033 [2]莱阳农学院工程系,山东莱阳265204 [3]东北农业大学工程学院,黑龙江哈尔滨150030

出　　处：《信阳师范学院学报（自然科学版）》2005年第1期37-41,共5页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：黑龙江省科学基金资助课题 ( 95 0 7)

摘　　要：对称性方法是寻求守恒量的近代方法 .形式不变性是一种新的对称性 .研究准坐标下广义力学系统运动微分方程在群的无限小变换下的形式不变性 .本文给出了形式不变性的定义和判据 ,建立形式不变性导致守恒量的条件 。Symmetry method is modern method in seeking conserved quantity. The form invariance is a new symmetry. The form invariance of differential equations of motion for generalized mechanical system in terms of quasi-coordinates is studied, under the infinitesimal transformations of groups. First, the definition and criterion of the form invariance are given. Next, the condition under which the invariance can lead to a conserved quantity is established. Finally, we give an example to illustrate the application of the result.

关 键 词：广义力学 准坐标 形式不变性 守恒量 

分 类 号：O136[理学—数学]