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圆弧形沉积谷地对Rayleigh波三维散射解析解

Analytical Solution for 3D Scattering of Rayleigh Waves by a Circular-Arc Alluvial Valley

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【作者】 梁建文魏新磊LEE Vincent W

【Author】 LIANG Jian-wen1,WEI Xin-lei1,LEE Vincent W2(1.School of Civil Engineering,Tianjin University,Tianjin 300072,China;2.University of Southern California,Los Angeles,CA90089-2531,USA)

【机构】 天津大学建筑工程学院University of Southern California Los Angeles

【摘要】 采用假定的大圆弧面来模拟半空间,利用波函数展开法和有限项Fourier级数展开技术,在频域内给出圆弧形沉积谷地对Rayleigh波三维散射的一个解析解.以此解答为基础,进一步分析入射波的频率和入射角度以及谷地深度对圆弧形沉积谷地场地反应的影响.数值结果表明,入射频率和入射角度以及沉积谷地深度对沉积谷地地表位移有重要影响.

【Abstract】 An analytical solution for the 3D scattering of Rayleigh waves by circular-arc alluvial valleys in frequency do-main was provided in this paper by adopting the circular surface assumption to simulate half-space surface and by using the wave function expansion method and the finite Fourier series expansion technique as well.Based on the solutiont,he effects of the incident frequency and incident angle of Rayleigh waves,and the valley depth on the dynamic response of circular-arc alluvial valleys were discussed.The numerical results show that the surface displacement amplitudes significantly depend on incident angle and the incident frequency of the Rayleigh waves,and the arc depth.

【基金】 教育部新世纪优秀人才支持计划资助项目(NCET-05-0248)
  • 【文献出处】 天津大学学报 ,Journal of Tianjin University , 编辑部邮箱 ,2009年01期
  • 【分类号】TU435
  • 【被引频次】11
  • 【下载频次】142
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