Lie symmetries of mechanical systems with unilateral holonomic constraints  

作　　者：ZHANG Yi & MEI Fengxiang1. Department of Basic Courses, Suzhou Institute of Urban Construction & Environmental Protection, Suzhou 215011, China 2. Department of Applied Mechanics, Beijing Institute of Technology, Beijing 10008I, China 

出　　处：《Chinese Science Bulletin》2000年第15期1354-1358,共5页

摘　　要：In the recent twenty years, the study on the Lie symmetries and conserved quantities of constrained mechanical systems has been making great progress[1-5]. Up to now, however, all the studies are limited to the mechanical systems with ideal bilateral constraints. This note further studies the Lie symmetries of mechanical systems with unilateral holonomic constraints, and two problems of Lie symmetries for the systems are put forward and solved, i.e. finding the conserved quantity from a Lie symmetric transformation of the system and finding the corresponding Liesymmetry from an integral of the systemi ? 梛 ? Jsymmetry from an integral of the system.In the recent twenty years, the study on the Lie symmetries and conserved quantities of constrained mechanical systems has been making great progress[1–5]. Up to now, however, all the studies are limited to the mechanical systems with ideal bilateral constraints. This note further studies the Lie symmetries of mechanical systems with unilateral holonomic constraints, and two problems of Lie symmetries for the systems are put forward and solved, i.e. finding the conserved quantity from a Lie symmetric transformation of the system and finding the corresponding Lie symmetry from an integral of the system.

关 键 词：analytical mechanics UNILATERAL constraint HOLONOMIC system LIE SYMMETRY CONSERVED quantity. 

分 类 号：TH112[机械工程—机械设计及理论]