超细长弹性杆的Mei对称性及其Noether守恒量  

Mei symmetries and the Noether conserved quantities of super-thin elastic rod

作　　者：崔建新[1] 高海波[1] 洪文学[1] 

机构地区：[1]燕山大学电气工程学院,秦皇岛066004

出　　处：《物理学报》2009年第11期7426-7430,共5页Acta Physica Sinica

摘　　要：基于Kirchhoff的动力学比拟,用动力学的概念和方法研究圆截面弹性杆的Hamilton函数和方程,并给出弹性杆的Mei对称性定义和定理以及定理的证明,最后给出弹性杆动力学系统的Mei对称性导致Noether守恒量的条件及定理,并给出算例.Based on Kirchhoff’s analogue,generalized Hamilton canonical equations for the dynamics of super-thin elastic rod are analyzed. The Mei symmetry transformations and the theorem are introduced.And the condition and theorem of Noether conserved quantity are deduced directly by Mei symmetry for the super-thin elastic rod system. An example is given to illustrate the application of the result.

关 键 词：超细长弹性杆 MEI对称性 NOETHER守恒量 

分 类 号：O316[理学—一般力学与力学基础] O343.6[理学—力学]