各向异性介质中SH波对有衬砌的任意形半凹陷地形的散射

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Scattering of Plane SH-Waves on Semi-Canyon Topography of Arbitrary Shape with Linging in Anisotropic Media

1.
Department of Mechanics and Engineering, Beijing Institute of Technology, Beijing 100081, P. R. China;
2.
Departmet of Aerospace Engineering, Harbin Engineering University, Harbin 150001, P. R. China

摘要: 本文研究各向异性介质中具有衬砌的凹陷地形对SH波的散射.采用保角映射法^[1]求解了有衬砌的凹陷地形对SH波的散射和它的地面位移.利用富氏级数展开方法,将待解的问题归结为一组无穷代数方程组的求解问题.由算例知,在衬砌和凹陷地形附近的地表上.位移幅值的变化是激烈的.当入射波的频率增加时,尤为显著.
- 各向异性介质 /
- SH波 /
- 有衬砌的凹陷地形 /
- 位移幅值
Abstract: The purpose of this paper is to use the conforma mapping method^[1] to analyzeand evaluate the ground displacement and scattering of incident SH-waves, on thesurface of semi-canyon topography of arbitrary shape with lining in anisotropic media.The problem to be solved can be reduced to the solution of an infinite algebraicequation set by using the method of full-space expansion of Fourier progression Usingthe mapping function and scattering theory to solve problems due to semi-canyon topography with lining is just like mapping the semi-cylindrical canyon of arbitrary shape into a cylindrical canyon in full-space.Moreover,it is far practical in engineering practice.From the computational examples,it is obvious that the variation of displacement amplitudes on the surface near the canyon topography is rather sharp. especially when the freqencies of incident SH-waves increase.
- anisotropic media /
- SH-wave /
- displacement amplitude /
- canyon topography with lining

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