多层隔震结构地震作用取值的解析分析法  

Analytic method of earthquake action calculation for multistory isolated structure

作　　者：李创第[1] 陈欧阳[2] 葛新广[1] 李暾[1] 邹万杰[1] 

机构地区：[1]广西科技大学土建学院,柳州545006 [2]广西大学土建学院,南宁530004

出　　处：《应用力学学报》2014年第3期326-331,485,共6页Chinese Journal of Applied Mechanics

基　　金：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(2012105940814M05)

摘　　要：为建立多层隔震结构等效静态抗震设计法,对该结构基于规范反应谱的最大地震效应及其等效静态地震作用取值的解析分析法进行了系统研究。首先运用实振子解耦法,将非对称非经典隔震结构响应精确分解为系列标准振子位移与速度响应的线性组合;继而根据随机振动频域法和响应方差与最大响应平方成正比的性质,将结构位移的响应方差及最大响应平方精确分解为系列标准振子位移与速度响应方差及反应谱平方的线性组合,精确获得了隔震结构基于规范加速度谱的最大地震效应;最后基于静态效应与最大动态效应的等效准则,给出了基于最大位移响应的等效地震作用的新定义及其取值的解析计算法,使新定义的地震作用精确满足等效准则,并通过算例,验证了所提出方法的正确性。所建立的方法基于响应精确解耦和方差精确分解以及等效准则精确满足,属精确解析法,具有一般性,较基于响应近似解耦和方差近似分解以及等效准则近似满足的现有地震作用(即最大惯性力)计算方法更科学合理。In order to establish equivalent static seismic design method of multistory isolated structure, the analytic methods of maximum earthquake effects and their equivalent static earthquake action calculation based on standard oscillator response spectrum in code are studied systematically. The structural response equations with non-classical damping and asymmetric mass matrix are firstly decoupled exactly by decoupling method in second-order real oscillators, the structural displacement response is exactly decomposed into a linear combination of displacement and velocity response of serial standard oscillators; Then, by using the frequency-domain method of random vibration and the property that random response variance is proportional to square of maximum random response to scale, the structural displacement response variance or maximum value square are exactly decomposed into linear combination of displacement and velocity response variances or response spectrum square of serial standard oscillators, the structural maximum earthquake effects based on standard oscillator acceleration response spectrum in code are exactly obtained; Lastly, by the equivalent criterion of which the static and maximum dynamic effects are identical, a new definition and analytic method of equivalent earthquake action based on maximum displacement response are given, the proposed methods are verified by an illustrative example. Because the existed methods are based on that the response, variance and equivalent criterion are all approximate, however, the methods proposed in this paper are based on that the response, variance and equivalent criterion are all exact, so they are superior to existed methods.

关 键 词：隔震结构 非经典阻尼 实振子解耦 反应谱 地震作用取值 

分 类 号：TU313.3[建筑科学—结构工程]