Abstract Several simplified models have been developed to simulate unbound soil for dynamic soil-structure interaction analysis in time domain. However, the existing models may have critical limitations for general applications. This study presents an approach to systematically generate lumped-parameter models with frequency-independent coefficients to represent the dynamic stiffness of rigid foundations in layered soil undergoing horizontal and rotational vibration. The components of the proposed model are determined from modularized units using a computational procedure, which simulates the coupling between the horizontal and rotational motion. This study applies the proposed model to simulate a non-uniform layered half-space and a uniform stratum on rigid rock. For surface and embedded foundations, the dynamic responses calculated by the proposed model agree well with theoretical solutions and computer program results. For embedded cylindrical foundations, the proposed model performs better and uses fewer parameters than an existing lumped-parameter model to simulate a soil layer on rock. Thus, the proposed systematic modeling approach shows a higher degree of adaptivity than traditional methods to generate simplified models for the simulation of layered soil considering coupled horizontal and rotational motion.

中文翻译：

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一种考虑水平和旋转基础振动的层状土壤系统建模方法

摘要 已经开发了几种简化模型来模拟未结合土，用于时域动态土-结构相互作用分析。但是，现有模型对于一般应用可能具有严重的局限性。本研究提出了一种系统地生成具有频率无关系数的集中参数模型的方法，以表示层状土壤中承受水平和旋转振动的刚性地基的动态刚度。所提出模型的组件是使用计算程序从模块化单元确定的，该程序模拟水平和旋转运动之间的耦合。本研究应用所提出的模型来模拟刚性岩石上的非均匀分层半空间和均匀地层。对于表面和嵌入式基础，所提出的模型计算的动态响应与理论解决方案和计算机程序结果非常吻合。对于嵌入式圆柱地基，与现有的集总参数模型相比，所提出的模型性能更好，并且使用更少的参数来模拟岩石上的土层。因此，所提出的系统建模方法显示出比传统方法更高的适应性，可以生成简化模型以模拟考虑耦合的水平和旋转运动的分层土壤。