Open AccessMei symmetries and the Noether conserved quantities of super-thin elastic rod
Author(s) -
Cui Jian-Xin,
Haibo Gao,
Hong Wang
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.7426
Subject(s) - noether's theorem , conserved quantity , symmetry (geometry) , homogeneous space , mathematical physics , classical mechanics , conserved current , physics , conservation law , lagrangian , mathematics , quantum mechanics , geometry
Based on Kirchhoff’s analoguegeneralized 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.