scholarly journals Gauss principle for a super-thin elastic rod dynamics

2009 ◽  
Vol 58 (1) ◽  
pp. 34
Author(s):  
Xue Yun ◽  
Weng De-Wei
Keyword(s):  
Elastic Rod ◽  
Gauss Principle ◽  
Thin Elastic Rod

Equilibrium Shapes and Vibrations of Thin Elastic Rod

1987 ◽  
Vol 56 (7) ◽  
pp. 2309-2324 ◽  
Author(s):  
Hideo Tsuru
Keyword(s):  
Elastic Rod ◽  
Equilibrium Shapes ◽  
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.

scholarly journals Some Aspects of Research on Mechanics of Thin Elastic Rod

2013 ◽  
Vol 448 ◽  
pp. 012001
Author(s):  
Liu Yanzhu ◽  
Xue Yun
Keyword(s):  
Elastic Rod ◽  
Thin Elastic Rod

The response of a thin elastic rod to combined thermal and mechanical impulse

1968 ◽  
Vol 19 (1) ◽  
pp. 113-127 ◽  
Author(s):  
Philip H. Francis
Keyword(s):  
Elastic Rod ◽  
Mechanical Impulse ◽  
Thin Elastic Rod

PHYSICAL REALIZATION OF THE JIMBO-MIWA THEORY OF THE MODIFIED KORTEWEG-DE VRIES EQUATION ON A THIN ELASTIC ROD: FERMIONIC THEORY

1995 ◽  
Vol 10 (22) ◽  
pp. 3091-3107 ◽  
Author(s):  
SHIGEKI MATSUTANI
Keyword(s):  
Dimensional Space ◽  
Mkdv Equation ◽  
Dirac Field ◽  
Elastic Rod ◽  
Bilinear Method ◽  
Physical Relation ◽  
De Vries ◽  
Lax Operator ◽  
Thin Elastic Rod ◽  
Hirota Bilinear

Recently we found that the Dirac operator on a thin elastic rod is identical with the Lax operator of the modified Korteweg-de Vries (MKdV) equation while the thin elastic rod is governed by the MKdV equation. In this article, we will show the physical relation between the Hirota bilinear method and the Dirac field in a thin rod on two-dimensional space, along the lines of the Jimbo-Miwa construction of the MKdV soliton.

scholarly journals The method for analyzing mechanics of thin elastic rod systems using the differential approach

2016 ◽  
Vol 1 ◽  
pp. 69-88
Author(s):  
Dmitry Krasnorutskiy
Keyword(s):  
Elastic Rod ◽  
Differential Approach ◽  
Thin Elastic Rod

scholarly journals Dynamical model of Cosserat elastic rod based on Gauss principle

2015 ◽  
Vol 64 (4) ◽  
pp. 044601
Author(s):  
Liu Yan-Zhu ◽  
Xue Yun
Keyword(s):  
Dynamical Model ◽  
Elastic Rod ◽  
Gauss Principle
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