Mei symmetries and the Noether conserved quantities of super-thin elastic rod
Cui Jianxin, Gao Haibo, Wenxue Hong, 燕山大学电气工程学院，秦皇岛 066004 · Acta Physica Sinica · 2009
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.