地铁车站中柱减震效果的概率密度演化分析  

Probability Density Evolution Analysis of Seismic Mitigation Effect of Center Column in Subway Station

作　　者：刘逸坤 陈清军[1,2] LIU Yikun;CHEN Qingjun(State Key Laboratory of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China;Department of Disaster Mitigation for Structures,Tongji University,Shanghai 200092,China)

机构地区：[1]同济大学土木工程防灾国家重点实验室,上海200092 [2]同济大学结构防灾减灾工程系,上海200092

出　　处：《力学季刊》2023年第2期362-374,共13页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(51778489);科技部国家重点实验室基础研究(SLDRCE19A-02)。

摘　　要：本文旨在采用概率密度演化方法,对考虑土体随机性的地铁车站中柱减震效果进行概率密度演化分析.以一典型地铁车站地下工程为背景,基于土体剪切模量的对数正态分布模型,采用谱表现方法确定具有空间变异性的土体随机场分布,分别建立考虑土体随机性的土-地铁车站原型结构相互作用模型和土-地铁车站减震结构相互作用模型,进行地铁车站中柱减震效果的概率密度演化分析与对比研究.结果表明:地铁车站结构地震反应的概率密度演化过程是一种随时间变化的复杂随机过程;不同时刻下结构地震反应的概率密度函数形状有所不同,且某些时刻的概率密度函数具有双峰.在地铁车站中柱上端设置橡胶支座会降低结构中柱水平变形与截面内力的离散度,提高结构侧墙变形与内力的离散程度.同时,可以有效降低中柱水平变形与截面内力的地震反应值,降幅在25%~50%左右,而地铁车站的侧墙变形和内力有所提高.The purpose of this paper is to analyze seismic mitigation effect of center column in subway station considering the randomness of soil by using probability density evolution method.A typical subway station was considered as the background and the distribution of soil random field with spatial variability was determined by using spectral representation method based on the log-normal distribution of soil shear modulus.The models of interaction between the soil and the prototype structure as well as between the soil and the seismic reduction structure of the subway station were established considering the randomness of the soil.The probability density evolution analysis was carried out for comparing the seismic mitigation effect of center column in subway station.The results show that the probability density evolution of the structural seismic response is a complex stochastic process that keeps changing with time.The shape of the probability density function of the structural seismic response varies at different moments and the probability density function exhibits double peaks at some instants.Introducing rubber bearing at the top of the center column in subway station will reduce the dispersion of horizontal deformation and section internal force of the center column,while increase the dispersion of deformation and internal force of the wall.At the same time,it can effectively reduce the seismic responses of the horizontal deformation and the section internal force of the center column by 25%-50%,and increase the deformation and internal force of the wall.

关 键 词：随机场地 土-结构相互作用体系 中柱减震 减震效果 概率密度演化分析 

分 类 号：TU435[建筑科学—岩土工程]