准坐标下一般完整系统的统一对称性  

Unified symmetry of the holonomic system in terms of quasi-coordinates

作　　者：许学军[1] 梅凤翔[1] 

机构地区：[1]北京理工大学力学系

出　　处：《物理学报》2005年第12期5521-5524,共4页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10272021);高等学校博士学科点专项科研基金(批准号:20040007022)资助的课题.~~

摘　　要：研究准坐标下完整力学系统在时间不变的无限小变换下的统一对称性.列出系统的运动微分方程,给出系统的统一对称性的定义和判据,由系统的统一对称性导出Noether守恒量、Hojman守恒量和一类新型守恒量.举例说明结果的应用.This paper discusses the unified symmetry of a holonomic mechanical system in terms of quasi-coordinates under special infinitesimal transformations in which time is not varied. The differential equations of motion of the system are given. The definition and the criterion of the unified symmetry for the system are presented. A new conserved quantity, besides the Noether conserved quantity and the Hojman conserved quantity, is deduced from the unified symmetry. An example is given to illustrate the application of the results.

关 键 词：准坐标 完整系统 统一对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础] O153.3[理学—力学]