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超细长弹性杆的Mei对称性及其Noether守恒量

崔建新 高海波 洪文学

物理学报2009,Vol.58Issue(11):7426-7430,5.
物理学报2009,Vol.58Issue(11):7426-7430,5.

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

崔建新 1高海波 1洪文学1

作者信息

  • 1. 燕山大学电气工程学院,秦皇岛,066004
  • 折叠

摘要

Abstract

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

Key words

super-thin elastic rod/Mei symmetry/Noether conserved quantity

分类

数理科学

引用本文复制引用

崔建新,高海波,洪文学..超细长弹性杆的Mei对称性及其Noether守恒量[J].物理学报,2009,58(11):7426-7430,5.

物理学报

OA北大核心CSCDCSTPCD

1000-3290

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