Wen-Pu Shi
School of Mechatronics and Automobile Engineering, Faculty of Electro-Mechanical Engineering, Yantai University, 264005, Yantai city, China
ABSTRACT
Non-destructive testing method can offer plenty of experimental data about defects probably existing in engineering materials which is often lack of correct interpretations, if it is used together with enough and necessary theoretical investigations, the above-mentioned short-comings can be avoided greatly. In the paper, multiple coordinate transformation, Graf addition formula and wave function expansion method were employed to investigate the Green function problem of the scattering of several circular cavities in circular domain to the out-of-plane steady loading. The scattering wave function of every circular cavity was given; the superposition principle was used to give the total wave function of displacement. The Fourier transformation method and the Graf addition formula were employed to give the infinite linear algebraic equations of unknown coefficients considering the boundary conditions of the problem which can be solved by limited truncation according to the computation precision needs. The results of the given example show the feasibility of the method here.
PDF References Citation
Received: August 31, 2013;
Accepted: November 06, 2013;
Published: November 13, 2013
How to cite this article
Wen-Pu Shi, 2013. Green Function Solution of Scattering Problem of Several Circular Cavities in Circular Area to SH-Waves. Journal of Applied Sciences, 13: 5150-5155.
DOI: 10.3923/jas.2013.5150.5155
URL: https://scialert.net/abstract/?doi=jas.2013.5150.5155
DOI: 10.3923/jas.2013.5150.5155
URL: https://scialert.net/abstract/?doi=jas.2013.5150.5155
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