变质量Chetaev型非完整系统的共形不变性  

Conformal Invariance for the Nonholonomic System of Chetaev's Type With Variable Mass

作　　者：黄卫立[1,2] 蔡建乐[2] 

机构地区：[1]湖南城市学院通信与电子工程学院,湖南益阳413000 [2]杭州师范大学理学院,杭州310018

出　　处：《应用数学和力学》2012年第11期1294-1303,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助课题(10932002);浙江省自然科学基金资助课题(LY12A02008)

摘　　要：研究变质量Chetaev型非完整系统的共形不变性与守恒量.推导共形因子表达式,得到系统共形不变性同时是Lie对称性的充要条件,给出系统弱Lie对称性和强Lie对称性的共形不变性,导出系统相应的守恒量,并举例说明结果的应用.Conformal invariance and conserved quantities for the nonholonomic system of Che- taev＇ s type with variable mass were studied. The conformal factor expressions were deduced. The necessary and sufficient conditions that the system＇ s conformal invariance would be Lie symmetry were obtained. The conformal invariance of weak and strong Lie symmetry for the system was given. And the system＇ s corresponding conserved quantities were derived. Lastly, an example was taken to illustrate the application of the result.

关 键 词：非完整系统 变质量 共形不变性 守恒量 

分 类 号：O316[理学—一般力学与力学基础] O302[理学—力学]