Solitary Waves in Finite Deformation Elastic Circular Rod

LIU Zhi-fang; ZHANG Shan-yuan

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LIU Zhi-fang, ZHANG Shan-yuan. Solitary Waves in Finite Deformation Elastic Circular Rod[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1255-1260.

Citation:

LIU Zhi-fang, ZHANG Shan-yuan. Solitary Waves in Finite Deformation Elastic Circular Rod[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1255-1260.

Citation:

LIU Zhi-fang, ZHANG Shan-yuan. Solitary Waves in Finite Deformation Elastic Circular Rod[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1255-1260.

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Solitary Waves in Finite Deformation Elastic Circular Rod

Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P. R. China

Received Date: 2005-03-15
Rev Recd Date: 2006-05-01
Publish Date: 2006-10-15

Abstract

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 are obtained. The necessary condition of these solutions existence is given also.
- nonlinear wave,
- finite deformation,
- transverse inertia,
- transverse shearing strain,
- hyperbolic secant function

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References(9)

References

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