SOLITARY WAVES IN FINITE DEFORMATION ELASTIC CIRCULAR ROD

A new nonlinear wave equation of a finite deformation elastic circular rod simultaneously introducing transverse inertia and shearing strain was derived by means of Hamilton principle. The nonlinear equation includes two nonlinear terms caused by finite deformation and double geometric dispersion ef...

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Bibliographic Details
Published inApplied mathematics and mechanics Vol. 27; no. 10; pp. 1431 - 1437
Main Author 刘志芳 张善元
Format Journal Article
LanguageEnglish
Published Institute of Applied Mechanics,Taiyuan University of Technology,Taiyuan 030024,P.R.China 01.10.2006
Subjects
Deformation
Elastic deformation
Inertia
Mathematical analysis
Nonlinear equations
Nonlinearity
Shearing
Wave equations
双曲线正切函数
有限形变
横向惯性
非线性波
finite deformation
transverse shearing strain
hyperbolic secant function
transverse inertia
nonlinear wave
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Summary:A new nonlinear wave equation of a finite deformation elastic circular rod simultaneously introducing transverse inertia and shearing strain was derived by means of Hamilton principle. The nonlinear equation includes two nonlinear terms caused by finite deformation and double geometric dispersion effects caused by transverse inertia and transverse shearing strain. Nonlinear wave equation and corresponding truncated nonlinear wave equation were solved by the hyperbolic secant function finite expansion method. The solitary wave solutions of these nonlinear equations were obtained. The necessary condition of these solutions existence was given also.
Bibliography:hyperbolic secant function
nonlinear wave; finite deformation; transverse inertia; transverse shearing strain; hyperbolic secant function
finite deformation
transverse shearing strain
O347.4
31-1650/O1
transverse inertia
nonlinear wave
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-006-1016-y