Conformal invariance for nonholonomic system of Chetaev's type with variable mass

作     者：黄卫立 蔡建乐 Wei-li HUANG;Jian-le CAI

作者机构：Department of Physics and Telecom EngineeringHunan City University College of ScienceHangzhou Normal University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2012年第33卷第11期

页      面：1393-1402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）] 

基　　金：Project supported by the National Natural Science Foundation of China (No. 10932002) the Natural Science Foundation of Zhejiang Province of China (No. LY12A02008) 

主　　题：nonholonomic system variable mass conformal invariance conservedquantity 

摘      要：Conformal invariance and conserved quantities for a nonholonomic system of Chetaev＇s type with variable mass are studied. The conformal factor expressions are derived. The necessary and sufficient conditions are obtained to make the system＇s con- formal invariance Lie symmetrical. The conformal invariance of the weak and strong Lie symmetries for the system is given. The corresponding conserved quantities of the system are derived. Finally, an application of the result is shown with an example.