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斜入射平面SH波在层状半空间中沉积谷地周围的三维散射
梁建文1,2, 梅雄一1,2, 巴振宁1,2
1.天津大学土木工程系,天津市南开区卫津路92号300072;2.天津市土木工程结构及新材料重点实验室,天津300072
摘要:
采用直接刚度法计算自由场动力响应,以层状半空间中移动斜线均布荷载动力格林函数模拟散射波场,采用间接边界元方法求解了层状半空间中沉积谷地对斜入射平面sH波的三维散射问题。由于文中采用的层状场地三维动力刚度矩阵是精确的,且用于模拟散射波场的均布移动斜线荷载可以直接施加在沉积交界面处而不存在奇异性,所以本文方法具有很高精度。文中以均匀半空间和基岩上单一土层中沉积谷地对入射sH波的散射为例进行了数值计算,研究表明,沉积谷地对地震波的三维散射与二维散射之间存在本质差别;层状半空间中沉积谷地与均匀半空间中沉积谷地附近地表位移存在显著差异。
关键词:  三维散射 沉积谷地 平面SH波 层状半空间
DOI:
分类号:
基金项目:国家自然科学基金资助项目(50908156、50978183)、天津市应用基础及前沿技术研究计划(12JCQNJC04700)
Three-dimensional scattering by an alluvial valley in a layered halfspace for obliquely incident plane SH waves
Liang Jianwen1,2, Mei Xiongyi1,2, Ba Zhenning1,2
1.School of Civil Engineering, Tianjin University, Tianjin 300072, China;2.Tianjin key Laboratory of Civil Engineering Structures and New Materials, Tianjin 300072, China
Abstract:
The indirect boundary element method (IBME) is used to study three-dimensional scattering by an alluvial valley embedded in a layered half-space for obliquely incident plane SH waves; by using the direct stiffness method to calculate the free-field responses and dynamic Green's functions of moving distributed loads acting on inclined lines in a layered half-space to simulate the scatter wave filed responses. The presented, method yields very accurate results for the 3D dynamic stiffness matrixes and the fictitious uniform moving loads can be acted directly on the interface between the alluvial valley and the layered half-space without singularity. Numerical results and analyses are performed by taking the amplification of incident plane SH waves by an alluvial in a uniform half space and in one layer over half-space. The results show that the three-dimensional responses are distinctively different from the two-dimensional responses, and the displacement amplitudes around the valley in a uniform half-space are obviously different from those of in a layered half-space.[著者文摘]
Key words:  Three-dimensional scattering Alluvial valley Plane SH waves Layeredhalf-space