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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| Published in | Applied mathematics and mechanics Vol. 27; no. 10; pp. 1431 - 1437 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Institute of Applied Mechanics,Taiyuan University of Technology,Taiyuan 030024,P.R.China
01.10.2006
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0253-4827 1573-2754 |
| DOI | 10.1007/s10483-006-1016-y |
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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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| AbstractList | 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. O3; 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. |
| Author | 刘志芳 张善元 |
| AuthorAffiliation | Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P. R. China |
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| Cites_doi | 10.1016/0375-9601(95)00092-H 10.1023/A:1026615919186 10.1023/A:1015514721870 10.1016/S0375-9601(96)00770-0 |
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| Keywords | finite deformation transverse shearing strain hyperbolic secant function transverse inertia nonlinear wave |
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| Notes | 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 |
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| References | X. Zheng (1016_CR7) 2002; 2 C. Yan (1016_CR6) 1996; 224 P. L. Bhatnager (1016_CR2) 1979 V. Porubov Alexei (1016_CR4) 2000; 328 G. Yang (1016_CR3) 1988 M. Wang (1016_CR5) 1995; 199 S. Liu (1016_CR8) 2001; 22 J. Zhang (1016_CR9) 1998; 37 G. B. Whitham (1016_CR1) 1974 |
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| SubjectTerms | 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 |
| Title | SOLITARY WAVES IN FINITE DEFORMATION ELASTIC CIRCULAR ROD |
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