| SOLITARY WAVES IN FINITE DEFORMATION ELASTIC CIRCULAR ROD |
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| 作者姓名： | 刘志芳 张善元 |
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| 作者单位： | Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P. R. China |
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| 基金项目： | 国家自然科学基金;山西省自然科学基金 |
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| 摘 要： | 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.
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| 关 键 词： | 非线性波 有限形变 横向惯性 双曲线正切函数 |
| 收稿时间： | 2005-03-15 |
| 修稿时间： | 2006-05-01 |
Solitary waves in finite deformation elastic circular rod |
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| Zhi-fang Liu Doctor,Shan-yuan Zhang.SOLITARY WAVES IN FINITE DEFORMATION ELASTIC CIRCULAR ROD[J].Applied Mathematics and Mechanics(English Edition),2006,27(10):1431-1437. |
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| Authors: | Zhi-fang Liu Doctor Shan-yuan Zhang |
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| Institution: | Institute of Applied Mechanics,Taiyuan University of Technology,Taiyuan 030024,P.R.China |
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| Abstract: | 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. |
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| Keywords: | nonlinear wave finite deformation transverse inertia transverse shearing strain hyperbolic secant function |
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