相对运动动力学Chetaev型非完整系统Appell方程Mei对称性共形不变性和守恒量  

Conformal invariance and conserved quantity of Mei symmetry of Appell equations for nonholonomic systems with Chetaev's type in dynamics of relative motion

作　　者：张耀宇 张芳 薛喜昌 贾利群[2] 

机构地区：[1]平顶山学院电气与机械工程学院,河南平顶山467000 [2]江南大学理学院,江苏无锡214122

出　　处：《云南大学学报（自然科学版）》2017年第6期973-980,共8页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11142014)

摘　　要：在相对运动动力学Chetaev型非完整系统Appell方程Mei对称性的基础上,进一步研究它的共形不变性及其相应的Mei守恒量.利用引入无限小变换群及其生成元向量,定义该系统Appell方程Mei对称性和Mei对称性的共形不变性,推导出该系统具有Mei对称性和Mei对称性共形不变性的充分与必要条件,得到该系统相应的Mei守恒量.最后,举例说明其应用.On the basis of Mei symmetry of Appell equations for nonholonomic systems with Chetaev＇ s type in dynamics of relative motion ,its conformal invariance and relative Mei conserved quantity are further studied.By introducing the infinitesimal transformations of groups and their generating vectors, the definitions of Mei symme- try and conformal invariance of Mei symmetry of Appell equations in the system are given. Necessary and suffi- cient conditions of which the system has both Mei symmetry and conformal invariance of Mei symmetry, and Mei -conserved quantity deduced directly from Mei symmetry in the system are gained.An example is given to illus- trate its application.

关 键 词：共形不变性 Chetaev型非完整系统 APPELL方程 MEI对称性 MEI守恒量 相对运动动力学 

分 类 号：O316[理学—一般力学与力学基础]