组合体结构基于胡聿贤谱下随机地震响应的简明封闭解  

Concise closed form solution of random seismic response of composite structure based on Hu Yuxian's spectrum

作　　者：李创第[1] 杨雪峰 李宇翔 葛新广[1] LI Chuangdi;YANG Xuefeng;LI Yuxiang;GE Xinguang(School 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：《广西科技大学学报》2022年第2期9-16,共8页Journal of Guangxi University of Science and Technology

基　　金：广西重点研发计划项目(桂科AB19259011);广西科技大学研究生教育创新计划项目(GKYC202133);广西科技大学创新团队项目(校发[2016]31号)资助。

摘　　要：胡聿贤谱是在Kainai-Tajimi谱的基础上引入了低频段的附加项,弥补了Kainai-Tajimi谱的不足,但表达式更加复杂,不易求解。两相邻建筑通过连接黏弹性阻尼器形成的组合体结构在地震作用下的减震效果显著,为此提出了一种获得组合体结构基于胡聿贤谱随机地震动响应的简明解法。首先,运用胡聿贤谱的滤波方程将地面运动转化为白噪声激励,然后通过复模态法将运动方程进行解耦,获得了组合体结构的复振动特征值及模态强度系数。其次,基于随机振动理论,得出了动态响应的协方差、方差和功率谱密度函数的简明表达式,获得了组合体结构0—2阶谱矩的封闭解。最后,与虚拟激励法进行了比较,对设置Maxwell黏弹性阻尼器的相邻建筑结构进行实例研究,分析结果包括组合体结构0—2阶谱矩以及连接黏弹性阻尼器在地震作用下的减震性能。验证了本文所提方法的精确性。Hu Yuxian's spectrum introduces an additional term of low frequency band based on Kainai-Tajimi spectrum,which makes up for the deficiency of Kainai-Tajimi spectrum.But the expression is insufficient and not easy to solve.The composite structure formed by two adjacent buildings connected with viscoelastic dampers has significant seismic mitigation effect.In this paper,a concise solution of random seismic response of composite structures based on Hu Yuxian's spectrum is presented.Firstly,the ground motion is transformed into white noise excitation by using the filtering equation of Hu Yuxian's spectrum,and the motion equation is decoupled by the complex mode method to obtain the complex vibration eigenvalues and modal intensity coefficients of the composite structure.Secondly,based on the random vibration theory,the concise expressions of covariance,variance and power spectral density function of dynamic response are obtained,and the closed form solution of 0-2 order spectral moment of composite structure is obtained.Finally,the proposed method is compared with the virtual excitation method,and a case study of an adjacent building structure with Maxwell viscoelastic dampers is carried out to verify the correctness of the proposed method.The analysis results include the 0-2 order spectral moment of the composite structure and the seismic performance of the connected viscoelastic dampers.

关 键 词：组合体结构 胡聿贤谱 黏弹性阻尼器 复模态法 谱矩 

分 类 号：TU318[建筑科学—结构工程]