| Anti-plane （SH） waves diffraction by cavity： analytical an underground semi-circular solution |
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| 作者姓名： | Luo Hao Vincent W. Lee Liang Jianwen |
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| 作者单位： | Luo Hao(HNTB Corporation, Santa Ana, CA 92707-8797, USA);Vincent W. Lee(Sonny Astani Department of Civil and Environmental Engineering, University of Southern California, Los Angeles, CA 90089-2531, USA);Liang Jianwen(Department of Civil Engineering, Tianjin University, Tianjin 300072, China) |
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| 摘 要： |
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| 关 键 词： | 半圆形 反平面 衍射 地震波传播 上海 波函数展开法 线性方程 边界条件 |
Anti-plane (SH) waves diffraction by an underground semi-circular cavity: analytical solution |
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| Luo Hao,Vincent W. Lee,Liang Jianwen.Anti-plane (SH) waves diffraction by an underground semi-circular cavity: analytical solution[J].Earthquake Engineering and Engineering Vibration,2010,9(3):385-396. |
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| Authors: | Hao Luo Vincent W Lee Jianwen Liang |
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| Institution: | 1.HNTB Corporation,Santa Ana,USA;2.Sonny Astani Department of Civil and Environmental Engineering,University of Southern California,Los Angeles,USA;3.Department of Civil Engineering,Tianjin University,Tianjin,China |
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| Abstract: | Diffraction of a two-dimensional (2D) semi-circular cavity in a half-space under incident SH-waves is studied using the classic
wave function expansion method with a new de-coupling technique. This so-called “improved cosine halfrange expansion” algorithm
exhibits an excellent performance in reducing displacement residual errors at two rim points of concern. The governing equations
are developed in a manner that minimizes the residues of the boundary conditions. Detailed derivation and analysis procedures
as well as truncation of infinite linear governing equations are presented. The semi-circular cavity model presented in this
paper, due to its simple profile, is expected to be used in seismic wave propagation studies as a benchmark for examining
the accuracies of various analytical or numerical methods for mixed-boundary wave propagation problems. |
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| Keywords: | plane SH waves diffraction semi-circular cavity half-space improved cosine half-range expansion |
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