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弹性层状半空间中凸起地形对入射平面SH波的放大作用
引用本文:梁建文,巴振宁.弹性层状半空间中凸起地形对入射平面SH波的放大作用[J].地震工程与工程振动,2008,28(1):1-10.
作者姓名:梁建文  巴振宁
作者单位:天津大学,土木工程系,天津,300072
基金项目:教育部新世纪优秀人才支持计划(NCET-05-0248),天津市应用基础研究重点项目(07JCZDJC10100)
摘    要:对Wolf理论进行拓展,使之可解决凸起地形对波的散射问题,进而利用间接边界元法,求解了弹性层状半空间中凸起地形对入射平面SH波的放大作用问题。本文模型的显著特点之一是考虑了层状半空间的动力特性以及层状半空间和凸起地形的阻尼;特点之二是计算精度高。文中以基岩上单一土层中半圆凸起地形对入射平面SH波的放大作用为例进行了数值计算分析。研究表明,基岩上单一土层中凸起地形对入射平面SH波放大作用和均匀半空间中凸起地形有着本质的差别;土层动力特性不仅影响凸起地形地表位移的幅值,还会影响地表位移的频谱;阻尼会显著降低凸起地形对高频波的放大作用。

关 键 词:层状半空间  凸起地形  平面SH波  放大作用  散射  基岩上单一土层
文章编号:1000-1301(2008)01-0001-10
收稿时间:2007-05-10
修稿时间:2007-06-25

Surface motion of a hill in layered half-space subjected to incident plane SH waves
LIANG Jianwen,BA Zhenning.Surface motion of a hill in layered half-space subjected to incident plane SH waves[J].Earthquake Engineering and Engineering Vibration,2008,28(1):1-10.
Authors:LIANG Jianwen  BA Zhenning
Abstract:Wolf's theory is extended to solve the problem of wave scattering by a hill.The indirect boundary element method(IBEM) is used to calculate the amplification of incident plane SH waves by a hill in layered half-space.One advantage of the model is that it includes the dynamic characteristics of the layered half-space and the damping of the layered half-space and the hill,and another is its high precision in the calculation.The numerical analyses are performed by taking the amplification of incident plane SH waves by a hill in one layer over half-space as an example.The results show that there exist distinct differences between the wave amplification by a hill in one layer over half-space and that in homogeneous half-space;the dynamic characteristics of the soil layer affect not only the surface displacement amplitudes of a hill but also their frequency spectra;the damping decreases the amplification of the incident waves of high frequencies.
Keywords:layered half-space  hill  plane SH wave  amplification  scattering  one layer over half-space
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