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物理学报  2009 

Mei symmetries and the Noether conserved quantities of super-thin elastic rod
超细长弹性杆的Mei对称性及其Noether守恒量

Keywords: super-thin elastic rod,Mei symmetry,Noether conserved quantity
超细长弹性杆,
,Mei对称性,,Noether守恒量

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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.

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