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Influence of free field variability on linear soil-structure interaction (SSI) by indirect integral representation

机译:间接积分表示的自由场变化对线性土壤-结构相互作用(SSI)的影响

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摘要

An integral equation for the representation of the response of a structure impinged by an incident wave field including soil-structure interaction is proposed. It requires the knowledge of the fundamental solution for the overall soil-structure domain when a unit load is applied to the structure. This fundamental solution is obtained by means of a substructuring technique and boundary integral equations using the Green tensors for homogeneous or horizontally stratified soil media. The effects of a non-stationary modulated random incident field are addressed in terms of the instantaneous power spectral density of the structural response of interest for a given coherency function of the free field. Several applications of the proposed procedure are presented. The first one considers kinematic interaction of a rigid circular foundation and is used to validate the numerical implementation. The second one considers a complex structure on a stiff stratified soil and the last one considers the pounding effect between two adjacent, identical structures resting on a thin soft soil layer.
机译:提出了一个表示包含土-结构相互作用的入射波场撞击结构响应的积分方程。当单位荷载施加到结构上时,需要了解整体土壤结构域的基本解决方案。基本解决方案是通过使用Green张量的子结构化技术和边界积分方程式获得的,用于均匀或水平分层的土壤介质。对于给定的自由场相干函数,通过关注结构响应的瞬时功率谱密度来解决非平稳调制随机入射场的影响。提出了该程序的几种应用。第一个考虑了刚性圆形基础的运动学相互作用,并用于验证数值实现。第二个考虑刚性坚硬分层土壤上的复杂结构,最后一个考虑搁置在薄薄软土层上的两个相邻相同结构之间的冲击作用。

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