位形空间中约束力学系统的Lagrange对称性与守恒量  

SYMMETRY AND CONSERVED QUANTITY OF LAGRANGIANS FOR A CONSTRAINED MECHANICAL SYSTEM IN CONFIGURATION SPACE

作　　者：刘学锋 张斌 方建会 

机构地区：[1]中国石油大学(华东)理学院,青岛266580 [2]大庆油田工程建设公司安装公司,大庆163450

出　　处：《动力学与控制学报》2015年第2期81-85,共5页Journal of Dynamics and Control

基　　金：山东省自然科学基金(ZR2011AM012)~~

摘　　要：研究位形空间中约束力学系统的Lagrange对称性,给出位形空间中约束力学系统的统一动力学方程,给出位形空间中约束力学系统统一方程的Lagrange对称性的判据,得到位形空间中约束力学系统统一方程的Lagrange对称性导致的守恒量及其存在的条件,并举例说明结果的应用.This paper studied the symmetry of Lagrangians and the conserved quantities for two dynamical equations of a constrained mechanical system in configuration space. The criterion of the symmetry for the two equations was given. The conditions under which there exist a conserved quantity and the form of the conserved quantity were obtained. And an example was presented to illustrate the application of the results.

关 键 词：位形空间 力学系统 Lagrange对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]