相邻结构间设置黏弹性阻尼器的风荷载响应分析  

Wind load response analysis of viscoelastic dampers between adjacent structures

作　　者：杨雪峰 李创第[1] 李宇翔 葛新广 YANG Xuefeng;LI Chuangdi;LI Yuxiang;GE Xinguang(School of Civil Engineering and Architecture,Guangxi University of Science and Technology,Liuzhou 545006,China;School of Civil Engineering and Architecture,Liuzhou Institute of Technology,Liuzhou 545616,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 [2]柳州工学院土木建筑工程学院,广西柳州545616

出　　处：《广西科技大学学报》2023年第3期53-61,共9页Journal of Guangxi University of Science and Technology

基　　金：国家自然科学基金项目(51468005);广西研究生教育创新计划项目(YCSW2022450);广西科技大学研究生教育创新计划项目(GXYC202228)资助。

摘　　要：在两相邻结构间设置黏弹性阻尼器能够有效降低结构在风荷载下的动力响应。选取广义Maxwell模型为黏弹性阻尼器计算模型,提出了一种相邻结构间设置黏弹性阻尼器的耗能减振结构风振响应的解析解法。首先,根据广义Maxwell黏弹性阻尼器构造图推导出微分型本构关系,并将其与两相邻结构的运动方程组进行耦合;其次,运用复模态法将相邻结构的响应(位移、速度、层间位移和层间速度)表示为一阶线性方程组合,并基于虚拟激励法获得上述响应的统一形式的频域解;然后,基于频响函数二次分解法,获得了基于Davenport的风速谱,并考虑空间相关性结构响应方差的解析解;最后,通过算例与虚拟激励法计算结果对比验证了所提方法的正确性,并分析了阻尼器在相邻结构风振控制中的减振效果。Setting viscoelastic dampers between two adjacent structures can effectively reduce the dynamic response of the structures under wind load.Taking the generalized Maxwell model as the calculation model of viscoelastic dampers,an analytical solution of wind-induced vibration response of energy-dissipating structures with viscoelastic dampers between adjacent structures is proposed.Firstly,the differential constitutive relation is derived from the structure diagram of the generalized Maxwell viscoelastic damper,and it is coupled with the motion equations of two adjacent structures.Secondly,the response of adjacent structures(displacement,velocity,inter-story displacement and inter-story velocity)is expressed as a combination of first-order linear equations by using the complex mode method,and the unified frequency domain solution of the above response is obtained based on the virtual excitation method.Then,based on the frequency response function quadratic decomposition method,the analytical solution based on the Davenport wind speed spectrum and considering the spatial correlation structural response variance is obtained.Finally,the correctness of the proposed method is verified by comparing the results of a numerical example with the results of the virtual excitation method,and the damping effect of the damper in the wind-induced vibration control of adjacent structures is analyzed.

关 键 词：相邻结构 广义Maxwell黏弹性阻尼器 Davenport风速谱 频响函数二次分解法 减振效果 

分 类 号：TU311.3[建筑科学—结构工程] TU318