一般粘弹性阻尼减震结构的随机响应分析  

Random response analysis of general viscoelastic damping structures

作　　者：邹万杰[1] 马金凤[1] 李创第[1] 葛新广[1] ZOU Wan-jie;MA Jin-feng;LI Chuang-di;GE Xin-guang(College of Civil Engineering and Architecture,Guangxi University of Science and Technology,Liuzhou 545006,China)

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：《广西大学学报（自然科学版）》2018年第5期1885-1894,共10页Journal of Guangxi University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(51468005);广西自然科学基金资助项目(2011GXNSFA0180432;2014GXNSFAA118315);广西科技大学创新团队支持计划项目

摘　　要：为了分析设置粘弹性阻尼器减震结构的随机地震响应,首先采用一般积分型粘弹性阻尼器微积分方程组,建立了结构运动方程,应用模态应变能法将其解耦,并采用传递矩阵法进行求解,获得了结构响应解析表达式,推导出了设置粘弹性阻尼器耗能减震结构的位移与速度瞬态响应方差的一般解析解。算例分析表明了所采用方法的有效性和正确性,从而建立了设置粘弹性阻尼器耗能减震结构随机地震响应的完备解析分析方法。In order to analyze the random seismic response of the damping structure with viscoelastic damper,the motion equations are firstly established by using the differential equations for viscoelastic dampers of general integration type,and then the modal strain energy method and the transfer matrix method are used to decouple and solve them,respectively.The analytic expression of the structures response is obtained,and a general analytical solution of the displacement and velocity transient response of the energy dissipation structures with viscoelastic dampers are derived.The example analysis shows the validity and correctness of the proposed method.Thus,a complete analytical method for random seismic response of the energy dissipation structures with viscoelastic damper is developed.

关 键 词：粘弹性阻尼器 随机响应 模态应变能 传递矩阵法 

分 类 号：TU313.3[建筑科学—结构工程]