Conformal invariance of Mei symmetry and conserved quantities of Lagrange equation of thin elastic rod

2015 ◽  
Vol 83 (4) ◽  
pp. 1815-1822 ◽  
Author(s):  
Peng Wang ◽  
Yun Xue
Keyword(s):  
Conformal Invariance ◽  
Lagrange Equation ◽  
Conserved Quantities ◽  
Elastic Rod ◽  
Thin Elastic Rod ◽  
Mei Symmetry

Mei symmetry and conserved quantities in Kirchhoff thin elastic rod statics

2012 ◽  
Vol 21 (7) ◽  
pp. 070203 ◽  
Author(s):  
Peng Wang ◽  
Yun Xue ◽  
Yu-Lu Liu
Keyword(s):  
Conserved Quantities ◽  
Elastic Rod ◽  
Thin Elastic Rod ◽  
Mei Symmetry

Conserved Quantities of Lagrange Equation of a Growing Elastic Rod Dynamics

2014 ◽  
Vol 684 ◽  
pp. 94-99
Author(s):  
Jia Le Qu ◽  
Yun Xue ◽  
Xi Ying Qian
Keyword(s):  
Numerical Analysis ◽  
Lagrange Equation ◽  
First Integrals ◽  
Practical Significance ◽  
Conserved Quantities ◽  
Energy Integral ◽  
Elastic Rod ◽  
Theoretical And Numerical Analysis

Conservedquantities of a growing elastic roddynamics are studied on the basis of Lagrange equation. Several of conserved quantities and their condition of existencearederived, which expanded the concept of conversation from the time to the space, i.e. arc coordinate.Lagrange equation is applied to analyzed energy integral and cyclic integral. First integrals are of practical significance in both theoretical and numerical analysis for a growing elastic rod dynamics.

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

2009 ◽  
Vol 58 (11) ◽  
pp. 7426
Author(s):  
Cui Jian-Xin ◽  
Gao Hai-Bo ◽  
Hong Wen-Xue
Keyword(s):  
Conserved Quantities ◽  
Elastic Rod ◽  
Thin Elastic Rod
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