非保守力与非完整约束对Lagrange系统Mei对称性的影响  

Effects of Non-Conservative Forces and Non-Holonomic Constraints on Mei Symmetries of a Lagrange System

作　　者：陈继虎[1] 张毅[1] 

机构地区：[1]苏州科技学院土木工程学院,江苏苏州215011

出　　处：《苏州科技学院学报（自然科学版）》2007年第4期17-22,共6页Journal of Suzhou University of Science and Technology （Natural Science Edition）

基　　金：江苏省高校自然科学基金资助项目(04KJA130135)

摘　　要：研究非保守力和非完整约束对Lagrange系统的Mei对称性和守恒量的影响。Lagrange系统受到非保守力或非完整约束作用时,系统的Mei对称性和守恒量都会发生变化。原有的一些Mei对称性消失,一些新的Mei对称性产生,在一定条件下,一些Mei对称性仍保持不变。分别给出系统的Mei对称性以及守恒量保持不变的条件,并举例说明结果的应用。The effects of non-conservative forces and nonholonomic constraints on Mei symmetries and conserved quantities of a Lagrange system are studied. When non-conservative forces or nonholonomic constraints are inserted in a Lagrange system,the Mei symmetries and the conserved quantities of the system may vary. Some Mei symmetries disappear, some new Mei symmetries emerge, and under certain given conditions, some Mei symmetries will still remain unchanged. The conditions under which the Mei symmetries and the conserved quantities of the system will remain unchanged are given, and some examples are presented to illustrate the application of theresults.

关 键 词：LAGRANGE系统 非保守力 非完整约束 MEI对称性 

分 类 号：O316[理学—一般力学与力学基础]