带支撑Maxwell阻尼器多层隔震结构的随机地震响应分析  

Random seismic responses of multi-layer vibration isolation structures mounted with supporter attached Maxwell dampers

作　　者：邹万杰[1] 马媛[1] 李创第[1] 葛新广[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

出　　处：《振动与冲击》2017年第21期213-219,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51468005);广西自然科学基金(2011GXNSFA018032;2014GXNSFAA118315);广西科技大学创新团队支持计划

摘　　要：对隔震层附设带支撑的五参数Maxwell阻尼器的多层基础隔震结构随机地震响应解析解法及平稳响应进行了研究。首先将上部结构用第一振型展开,采用带支撑的五参数Maxwell阻尼器的积分型分析模型,用微分积分方程组实现对该结构的时域非扩阶精确建模;然后采用传递矩阵法,直接在耗能隔震结构原空间获得结构在任意激励下的位移、速度和阻尼器的时域瞬态响应解析表达式;最后在Kanai-Tajimi平稳滤过白噪声激励下,基于该解析解,获得了结构的位移、速度和阻尼器受力的随机响应方差,并给出算例,从而建立了该多层隔震结构在Kanai-Tajimi滤过白噪声激励下的随机响应解析分析方法。The analytical solutions of stochastic seismic responses and steady state responses of a multi-storey base isolation structure whose isolation layers were mounted with five parameters Maxwell dampers attached with supporters were studied. The upper structure was expanded by thefirst vibration mode shape and then by using the integral type analysis model for the supporter attached five parameters Maxwell damper,a non-extended accurate model for the structure was realized in time domain by using the integral-differential equations. By using the transfer matrix method,the analytic expressions in original structural space for the displacement,velocity and damper transient responses of the multi-layer isolation structure in time domain under arbitrary excitations were obtained. Finally,based on the analytical solutions,the random response variances of the displacement,velocity and damper＇s force of the multi-layer isolation structure under Kanai-Tajimi stationary filtered white noise excitations were obtained. A complete analytical method for solving the stochastic responses of multi-layer isolation structures under Kanai-Tajimi filtered white noise excitations was thus established. A numerical example was given to verify its effectiveness.

关 键 词：五参数Maxwell阻尼器 支撑 多层隔震结构 传递矩阵法 阻尼器受力 

分 类 号：TU352.1[建筑科学—结构工程]