Soil–structure interaction for a SDOF oscillator supported by a flexible foundation embedded in a half-space: Closed-form solution for incident plane SH-waves     

《Soil Dynamics and Earthquake Engineering》2016

A closed-form analytical solution is presented for the dynamic response of a SDOF oscillator, supported by a flexible foundation embedded in an elastic half-space, and excited by plane SH waves. The solution is obtained by the wave function expansion method. The solution is verified for the special case of a rigid foundation by comparison with published results. The model is used to investigate the effect of the foundation flexibility on the system response. The results show that the effect is significant for both foundation response and structural relative response. For a system with more flexible foundation, the radiation damping is smaller, the foundation response is larger, especially for obliquely incident waves, while the structural relative response is smaller, and the system frequency shifts towards lower frequencies. This simple model may be helpful to obtain insight into the effects of soil–structure interaction for a slim structure on an extended flexible foundation.  相似文献   

3D Diffraction of obliquely incident SH waves by twin infinitely long cylindrical cavities in layered poroelastic half-space     

Jianwen Liang  Bing Han  Zhenning Ba 《地震科学（英文版）》2013,26(6):395-406

This paper studies three-dimensional diffraction of obliquely incident plane SH waves by twin infinitely long cylindrical cavities in layered poroelastic half-space using indirect boundary element method. The approach is validated by comparison with the literature, and the effects of cavity interval, incident frequency, and boundary drainage condition on the diffraction are studied through numerical examples. It is shown that, the interaction between two cavities is significant and surface displacement peaks become large when two cavities are close, and the surface displacement may be significantly amplified by twin cavities, and the influence range with large amplification can be as wide as 40 times of the cavity radius. Surface displacements in dry poroelastic case and saturated poroelastic cases with drained and undrained boundaries are evidently different under certain circumstances, and the differences may be much larger than those in the free-field response.  相似文献   

SH波作用下各向异性弹性半空间中浅埋圆孔附近的动应力集中研究     

陈志刚 《岩土力学》2012,33(3):899-905

研究了稳态水平剪切（SH）波作用下含有圆柱形孔洞的各向异性弹性半空间的动力响应问题,探讨介质的各向异性对孔附近动应力的影响规律。运用复变函数和多极坐标方法在变换空间中构造出各向异性弹性半空间中圆孔的散射波函数,所构造的散射波函数能够自动满足半空间水平表面上应力自由的边界条件和无穷远处的Sommerfeld辐射条件。根据圆孔表面应力自由的边界条件,采用最小二乘法求解所构造的散射波函数的系数。分析了SH波以不同角度自弹性半空间内入射时,不同介质特性、入射波数和埋深对圆孔附近动应力集中系数的影响。数值结果表明,各向异性弹性半空间中孔附近的动应力比各向同性情况有明显增高。  相似文献   

Out-of-plane (SH) soil-structure interaction: Semi-circular rigid foundation revisited     

《Soil Dynamics and Earthquake Engineering》2014

The model studied in this paper presents an extension of previous work for a shear wall on a semi-circular rigid foundation in an isotropic homogeneous and elastic half-space. The objective is to develop a soil-structure interaction model that can later be applied to the case of a flexible foundation. As shown in the Introduction below, Luco considered the case of a rigid foundation subjected to vertical incident plane SH waves, and Trifunac extended the solution for the same rigid foundation subjected to SH waves but for arbitrary angles of the incidence. In this paper, a new approach and model are presented for the same semi-circular rigid foundation with a tapered-shape (instead of rectangular) superstructure. The analytical expression for the deformation of the semi-circular rigid foundation below this tapered shear wall with soil-structure interaction in an isotropic homogeneous and elastic half-space is thus derived. Results are then compared with those of Trifunac discussed in the section below. This problem formulation can and will later be extended in the case of a flexible foundation that is semi-circular or arbitrarily shaped.  相似文献   

半空间异质隆起的出平面动力响应:闭合级数解答   总被引：1，自引：0，他引：1  

李雨润  袁晓铭  孙锐 《地震工程与工程振动》2005,25(3):1-5

采用分区思想和辅助函数方法,利用波函数展开技术,提出了水平地表圆形非匀质隆起出平面动力响应的闭合级数解答。将解答归结为一组无穷代数方程组的求解,解答的数值结果可由无穷方程的截断计算得出。计算结果表明,给出的闭合解答在宽频带内能很快收敛。  相似文献   

各向异性半空间中浅埋孔洞对地表 反平面运动的影响          下载免费PDF全文

陈志刚 《地震学报》2015,37(4):617-1244

本文采用复变函数方法研究了稳态水平剪切波(SH波)在各向异性弹性半空间中任意形状孔洞上的散射及其对地面运动的影响.在变换空间中构造出自动满足各向异性半空间水平表面上应力为零的散射波函数,并根据孔洞表面应力为零的边界条件,采用最小二乘法求解散射波函数的系数.用介质的各向异性性质来模拟地质条件,给出了SH波作用下含圆孔、椭圆孔和方孔的各向异性半空间表面位移幅值的数值结果,并分析了介质特性、孔洞的形状、埋深、入射波波数及入射角度等因素对地面运动的影响规律.数值结果表明:介质的各向异性对含有孔洞的半空间表面的地表位移具有显著的影响;沿一定角度的入射波在某一频段内所引起的地表位移幅值比各向同性介质的可能要大,且随着孔洞埋深的增加,地表位移的幅值逐渐减小.   相似文献   

直角域中凸起和孔洞对SH波的散射与地震动     

齐辉  蔡立明  潘向南  张德伟  张洋 《岩土力学》2015,36(2):347-353

按照波函数展开法和镜像方法,对直角域中半圆形凸起和圆形孔洞对SH波的散射进行了分析,得到其稳态解。对含孔洞和凸起的直角域做分区,等效为一个含孔洞与凹陷的直角域和一个圆域的契合,其在分界面上满足位移和应力的连续性条件,即契合条件,分别构造两个区域内的位移波函数,按照孔洞边界柱面上的应力自由和契合条件定解波函数展开式的系数。按Fourier级数展开法,得到定解条件的线性代数方程组,截断求解,进而得到问题的解析解。数值算例给出圆形孔洞边沿动应力和地表位移幅值的分布情况,得到直角域自由边界、凸起、孔洞对散射和地震动的影响。  相似文献   

利用SH横波反射资料中的勒夫面波反演浅部横波速度结构     

邓小娟  酆少英  左莹  何银娟  季通宇 《大地测量与地球动力学》2017,37(11):1126-1130

由于勒夫波速度与纵波速度无关,勒夫波多道分析方法具有频散曲线简单、能量清晰、反演过程中未知参数少、对初始模型依赖小、反演结果稳定、分辨率高等特点。实验结果表明,利用浅层SH横波反射地震数据中的勒夫面波信息,反演得到近地表横波速度结构,在浅层地质构造、断层位置、上断点埋深等方面与浅层SH横波反射地震剖面以及地质钻孔数据吻合较好。该方法可为地下构造解释提供更多依据,提高探测成果的可靠性。  相似文献   

浅层抗干扰高分辨率SH波地震资料处理方法研究     

李文林  胡奇谋 《物探化探计算技术》1997,19(3):233-237

针对常规地震资料处理系统不能处理高采样率（采样率＜１ｍｓ）和速度很低的ＳＨ波资料的难题，本文提出了运用等效处理方法处理浅层地震资料，同时在保证高信噪比情况下提高资料的分辨率。结果表明，该方法收到了满意的效果。  相似文献   

Love wave suppression without prior structural information     

L. F. van Zanen  C. P. A. Wapenaar  G. G. Drijkoningen  J. T. Fokkema 《Geophysical Journal International》2003,154(3):867-876

  相似文献