Equilibrium Shapes and Vibrations of Thin Elastic Rod

Hideo Tsuru

doi:10.1143/jpsj.56.2309

Equilibrium Shapes and Vibrations of Thin Elastic Rod

Journal of the Physical Society of Japan ◽

10.1143/jpsj.56.2309 ◽

1987 ◽

Vol 56 (7) ◽

pp. 2309-2324 ◽

Cited By ~ 22

Author(s):

Hideo Tsuru

Keyword(s):

Elastic Rod ◽

Equilibrium Shapes ◽

Thin Elastic Rod

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Cantilever Rod in Cross Wind

Journal of Applied Mechanics ◽

10.1115/1.3176140 ◽

1989 ◽

Vol 56 (3) ◽

pp. 639-643 ◽

Cited By ~ 1

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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Deformation of Thin Elastic Rod Under Large Deflections

Proceedings of the 4th International Conference on Industrial Engineering - Lecture Notes in Mechanical Engineering ◽

10.1007/978-3-319-95630-5_20 ◽

2018 ◽

pp. 185-196

Author(s):

V. S. Zhernakov ◽

V. P. Pavlov ◽

V. M. Kudoyarova

Keyword(s):

Large Deflections ◽

Elastic Rod ◽

Thin Elastic Rod

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Statics and Dynamics of the Thin Elastic Rod

Introduction to Soliton Theory: Applications to Mechanics ◽

10.1007/1-4020-2577-7_4 ◽

2005 ◽

pp. 121-148

Keyword(s):

Elastic Rod ◽

Statics And Dynamics ◽

Thin Elastic Rod

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Some Aspects of Research on Mechanics of Thin Elastic Rod

Journal of Physics Conference Series ◽

10.1088/1742-6596/448/1/012001 ◽

2013 ◽

Vol 448 ◽

pp. 012001

Author(s):

Liu Yanzhu ◽

Xue Yun

Keyword(s):

Elastic Rod ◽

Thin Elastic Rod

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

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf01603283 ◽

1968 ◽

Vol 19 (1) ◽

pp. 113-127 ◽

Cited By ~ 4

Author(s):

Philip H. Francis

Keyword(s):

Elastic Rod ◽

Mechanical Impulse ◽

Thin Elastic Rod

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The method of analyzing vibrations of air power transmission lines using reduced finite-element models ofpylons and differential model of thin elastic rod system

2016 11th International Forum on Strategic Technology (IFOST) ◽

10.1109/ifost.2016.7884227 ◽

2016 ◽

Author(s):

Aleksey N. Kozhevnikov ◽

Dmitry A. Krasnorutskiy ◽

Vladimir E. Levin ◽

Nikolay V. Pustovoy

Keyword(s):

Finite Element ◽

Transmission Lines ◽

Power Transmission ◽

Finite Element Models ◽

Power Transmission Lines ◽

Elastic Rod ◽

Air Power ◽

Differential Model ◽

Rod System ◽

Thin Elastic Rod

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

International Journal of Modern Physics A ◽

10.1142/s0217751x95001479 ◽

1995 ◽

Vol 10 (22) ◽

pp. 3091-3107 ◽

Cited By ~ 5

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.

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