LIE SYMMETRIES AND CONSERVED QUANTITIES OF SECOND-ORDER NONHOLONOMIC MECHANICAL SYSTEM
LIE SYMMETRIES AND CONSERVED QUANTITIES OF SECOND-ORDER NONHOLONOMIC MECHANICAL SYSTEM作者机构：Department of Applied Physics University of Petroleum Dongying Shandong257061 P R China
出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)
年 卷 期：2002年第23卷第9期
页 面：1105-1110页
核心收录：
学科分类：08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）]
主 题：second-order nonholonomic system Lie symmetry conserved quantity
摘 要：The Lie symmetries and the conserved quantities of the second-order nonholonomic mechanical system are studied. Firstly, by using the invariance of the differential equation of motion under the infinitesimal tran, formations, the determining equations and the restriction equations of the Lie symmetries of the system are established, and the structure equation and the conservative quantities of the Lie symmetries are obtained. Secondly, the inverse problems of the Lie symmetries are studied. Finally, an example is given to illustrate the application of the result.
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