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

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

Cantilever Rod in Cross Wind

1989 ◽  
Vol 56 (3) ◽  
pp. 639-643 ◽  
Author(s):  
C. Y. Wang
Keyword(s):  
Numerical Integration ◽  
Large Deformation ◽  
Aerodynamic Drag ◽  
Flexural Rigidity ◽  
Relative Importance ◽  
Elastic Rod ◽  
Nondimensional Parameter ◽  
Cantilever Rod ◽  
Thin Elastic Rod

A thin elastic rod is held at one end in a strong cross wind. The nonlinear large deformation equations are formulated and solved by perturbation and numerical integration. The problem is governed by a nondimensional parameter K representing the relative importance of aerodynamic drag to flexural rigidity. For large K, phenomena such as nonuniqueness, instability, and hysteresis may occur.

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