Vacco动力学的Lie对称性和守恒量  

LIE SYMMETRIES AND CONSERVED QUANTITIES OF VACCO DYNAMICS

作　　者：张宏彬[1] 

机构地区：[1]巢湖师专物理系,安徽巢湖238000

出　　处：《青岛大学学报（自然科学版）》2001年第1期34-39,共6页Journal of Qingdao University(Natural Science Edition)

摘　　要：本文用Lie方法研究了不对虚位移附加任何限制条件的非完整系统的对称性和守恒量。由微分方程在无限小变换下的不变性，建立了系统的确定方程，得到了结构方程和守恒量，并研究了该系统Lie对称性逆问题，最后给出实例说明结果的应用。In this paper, the Lie symmetries and the conserved quantities of the nonholonomic dynamical systems without any additional restrictive condition to its virtual displacement are studied. By using the invariance of the ordinary differential equations under the infinitesimal transformations, the determining equations of the Lie symmetries of the systems are established, and the structure equations and the conserved quantities are given. And the inverse problem of Lie symmetries of the systems is also studied. An example is given to illustrate the application of the result.

关 键 词：分析力学 VACCO动力学 LIE对称性 守恒量 非完整系统 非完整力学 

分 类 号：O316[理学—一般力学与力学基础]