多层隔震结构近似实空间解耦及地震作用取值  

Method of approximate decouping in real spaces and earthquake action calculation for multistory isolated structures

作　　者：李创第[1] 陈欧阳[2] 葛新广[1] 邹万杰[1] 

机构地区：[1]广西科技大学土木建筑工程学院,广西柳州545006 [2]广西大学土木建筑工程学院,广西南宁530004

出　　处：《广西大学学报（自然科学版）》2013年第4期785-794,共10页Journal of Guangxi University（Natural Science Edition）

基　　金：广西自然科学基金项目(2011GXNSFA018032);广西高校百名中青年学科带头人资助计划(RC20060814017);广西研究生教育创新计划资助项目(2012105940814M05)

摘　　要：为研究多层非经典阻尼隔震结构响应及其地震作用取值,首先建立了多层隔震结构响应近似实空间解耦分析法,并基于随机振动理论将结构位移随机响应方差解析分解为系列标准振子的位移与速度随机响应方差的线性组合;然后利用系列标准振子最大响应与反应谱的对应关系,建立了多层隔震结构基于抗震规范加速度反应谱的位移最大响应及其等效静态地震作用取值的近似解析分析法,并给出算例。采用本文方法计算的结构位移时程分析、位移响应方差和层间剪力设计值的最大误差分别仅为0.392 8%、0.020 6%和0.079 9%,结果表明该方法简便实用,精度较高,可用于工程实际。In order to study the seismic response of multistory isolated non-classical damping struc- tures, the response equations with damping and symmetric mass matrix were established by the method of approximate decouping in real spaces. Then, by the random vibration theory, the mean- square values of structural displacement random response are decomposed to a linear combination of mean-square values of displacement and velocity random response of serial standard oscillators. Last- ly, according to the relationship between the maximum displacement response of serial standard oscillators and response spectrum, the analytic solution of maximum displacement response and earthquake action of the isolated structures based on response spectrum are obtained. The proposed method was used to calculate the displacement time history, the mean-square value of displacement response and the design value of interlaminar shear force, the maximum errors of which are only 0. 392 8% , 0. 020 6% and 0. 079 9% , respectively. The result shows that this method is simple, practical, and accurate.

关 键 词：隔震结构 非经典阻尼 近似实空间解耦 反应谱 地震作用 

分 类 号：TU313.3[建筑科学—结构工程]