Lie symmetries of mechanical systems with unilateral holonomic constraints

被引：50

作者：

Zhang, Y ^{[1
]}

Mei, FX

机构：

[1] Suzhou Inst Urban Construct & Environ Protect, Dept Basic Courses, Suzhou 215011, Peoples R China

[2] Beijing Inst Technol, Dept Appl Mech, Beijing 100081, Peoples R China

来源：

CHINESE SCIENCE BULLETIN | 2000年 / 45卷 / 15期

基金：

中国国家自然科学基金;

关键词：

analytical mechanics; unilateral constraint; holonomic system; Lie symmetry; conserved quantity;

D O I：

10.1007/BF02886235

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

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 Lie symmetry from an integral of the system.

引用

页码：1354 / 1358

页数：5