Seismic soil-structure interaction analysis of structure with shallow foundation using response spectrum method
Seismic soil-structure interaction analysis of structure with shallow foundation using response spectrum method
复制标题
浅基础结构地震土与结构相互作用响应谱法分析
DOI：
10.1007/s10518-020-00827-x
复制
发表时间：
2020
影响因子：
4.6
通讯作者：
Zhao Xu
中科院分区：
文献类型：
--
作者：
Gao Zhidong;Zhao Mi;Du Xiuli;Zhao Xu
采用反应谱方法研究了浅基础结构的地震土-结构相互作用。首先建立了考虑结构基础水平运动和摇摆运动耦合的SSI模型。在该模型中，结构采用有限元模型，土体采用基于有理逼近的精确集总参数模型。由于引入了LPM的阻尼力，SSI模型是一个非经典的阻尼系。在此基础上，采用复振型迭加响应法求解了非经典阻尼SSI系统在设计反应谱下的动力响应。最后，利用SSI模型和响应面模型计算了两类场地上3层和6层剪力结构的地震反应。数值试验表明，响应面法是分析浅基础结构地震动力反应的有效工具，并得出如下结论：(1)对于软土地基上较高的结构，应考虑地基的水平运动和摇摆运动的耦合作用；(2)基于有理近似的LPM方法比基于简单方法的LPM方法更精确；(3)在复振型叠加过程中，虽然过阻尼情况发生在基频，但可以忽略；(4)根据给定的绝对加速度设计反应谱，可以利用拟谱变换关系得到相对位移和相对速度反应谱。
Seismic soil–structure interaction (SSI) of structure with shallow foundation is studied using response spectrum method (RSM). A SSI model is first constructed with the consideration of the coupling of horizontal and rocking motions of structural foundation. In this model, the structure is modelled by finite elements and the soil by the accurate lumped parameter model (LPM) based on rational approximation. The SSI model is a non-classically damped system due to introducing damping of LPM. Complex mode superposition RSM is subsequently applied to solve the non-classically damped SSI system under design response spectrum. Seismic responses of 3-story and 6-story shear structures on two types of sites are finally calculated using the SSI model and RSM. The numerical experiments indicate that RSM can be an effective tool to analyze seismic SSI of structure with shallow foundation, and some conclusions are drawn: (1) the coupling of horizontal and rocking motions of foundation should be considered for relatively high structure on soft soil site, (2) the rational-approximation-based LPM is more accurate than the simple one, (3) the over-damped case can be neglected in the complex mode superposition process although it arises at fundamental frequency, and (4) the quasi spectrum transform relationship can be used to obtain the relative displacement and relative velocity response spectra from the given absolute acceleration design response spectrum.