高层隔震结构实空间解耦及地震作用取值分析  

Decoupling in a real space and earthquake action analysis for high-rise isolated structures

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

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

出　　处：《振动与冲击》2014年第15期119-125,共7页Journal of Vibration and Shock

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资助项目(2012105940814M05)

摘　　要：对高层隔震结构响应实空间解耦及地震作用取值进行了系统研究。首先运用复模态法和拉氏变换,建立非对称非经典结构响应的实空间精确解耦法,将高层隔震结构位移响应方差在实空间上精确分解为系列标准振子位移与速度响应方差的线性组合,获得结构相关组合系数的精确解;然后利用系列标准振子最大响应与反应谱的对应关系,给出了基于最大位移响应的地震作用新定义,建立了高层隔震结构基于反应谱的最大位移响应及其等效静态地震作用取值的完备解析解法,并给出了算例,验证了所提出方法的正确性,该方法适用于一般非对称非经典结构响应的实空间精确解耦及其基于反应谱的地震作用取值分析。The analysis methods of decoupling in a real space and earthquake action analysis for non-classically damped high-rise isolated structures were studied systematically. The exact decoupling method in a real space for an asymmetric and non-classical structure was firstly established by using the complex modes method and Laplace Transformation,the variances of a high-rise isolated structure＇s displacement random responses were exactly decomposed into a linear combination of displacements variances and velocity response variances of a series of standard oscillators,the exact solutions to the structural correlation combination coefficients were deduced. Then,according to the mutual relationships between the maximum response of a series of standard oscillators and seismic response spectra,the analytical solutions to the maximum displacement response and its value under the equivalent static earthquake action for high-rise isolated structures based on response spectra were derived. An example was given. It was verified that the proposed methods are correct,and the proposed methods are general methods,they are applicable to exact decoupling analysis in a real space and earthquake action analysis based on response spectra for general MDOF linear structures with non-classical damping and asymmetric mass and stiffness matrices.

关 键 词：高层隔震结构 非经典阻尼 非对称结构 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]