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半空间中圆柱形夹塞物对入射平面SV波的散射解析解
引用本文:李大广,张颖.半空间中圆柱形夹塞物对入射平面SV波的散射解析解[J].自然灾害学报,2011(4).
作者姓名:李大广  张颖
作者单位:天津大学建工学院;天津石油职业技术学院机械系;
摘    要:采用Fourier-Bessel波函数展开法,给出了半空间中地下夹塞物对平面SV波的散射解析解。借助大圆弧面近似模拟水平地表,由连续性边界条件和自由地表条件建立方程求解。通过参数分析,讨论了夹塞物本身及入射波特性对地表位移的影响规律。研究表明:夹塞物附近地表位移放大效应显著,地表位移对入射SV波频率和角度的变化比较敏感。当埋深较深时,夹塞物的散射效应可以忽略。

关 键 词:夹塞物  散射  解析解  平面SV波  Fourier-Bessel波函数展开  

An analytic solution to scattering of plane SV waves by a cylindrical inclusion in half space
LI Da-guang,ZHANG Ying.An analytic solution to scattering of plane SV waves by a cylindrical inclusion in half space[J].Journal of Natural Disasters,2011(4).
Authors:LI Da-guang  ZHANG Ying
Institution:LI Da-guang1,ZHANG Ying2(1.Tianjin University,Tianjin 300072,China,2.Department of Mechanical Engineering,Tianjin Petroleum Vocational and Technical College,Tianjin 301607,)
Abstract:The scattening of plane SV waves by a cylindrical inclusion in half space was calculated by Fourier-Bessel wave expansion method,in which the flat surface of half space was approached by a large cylindrical surface.The equation can be constructed and solved by the continue boundary and the free surface condition.Based on parameter analysis,the effect of the inclusion and the incident wave on surface displacement amplitude was discussed.It is shown that there is large amplification effect of surface displace...
Keywords:inclusion  scattering  analytic solution  plane SV waves  Fourier-Bessel wave function expansion  
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