Non-Noether Conserved Quantity of Nonholonomic System Having Variable Mass and Unilateral Constraints
Using the Lie Symmetry under infinitesimal transformations in which the time is not variable, the nonNoether conserved quantity of nonholonomic system having variable mass and unilateral constraints is studied. The differential equations of motion of the system are given. The determining equations of Lie symmetrical transformations of the system under infinitesimal transformations are constructed. The Hojman's conservation theorem of the system is established. Finally, we give an example to illustrate the application of the result.
作 者： Qiao Yong-Fen LI Ren-Jie MA Yong-sheng 作者单位： Qiao Yong-Fen(Department of Mechanical Engineering and Automation, Zhejiang Institute of Science and Technology, Hangzhou 310027,China;Physics Teaching Division, Laiyang Agricultural College, Laiyang 265204, China;Engineering College, Northeast Agricultural University,)LI Ren-Jie(Physics Teaching Division, Laiyang Agricultural College, Laiyang 265204, China)
MA Yong-sheng(Engineering College, Northeast Agricultural University, Harbin 150030, China)
刊 名： 理论物理通讯(英文版) ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS 年，卷(期)： 2004 42(12) 分类号： 关键词： variable mass unilateral constraint nonholonomic system non-Noether conserved quantity determining equation