支撑刚度对黏弹性阻尼耗能结构的随机风振响应特性研究  

Effects of support stiffness on random wind-induced response characteristics of structures with viscoelastic damping energy dissipation

作　　者：李创第[1] 江丽富 葛新广 王瑞勃 李宇翔 LI Chuangdi;JIANG Lifu;GE Xinguang;WANG Ruibo;LI Yuxiang(School of Civil Engineering and Architecture,Guangxi University of Science and Technology,Liuzhou 545006,China;College of Civil and Architectural Engineering,Liuzhou Institute of Technology,Liuzhou 545616,China;Wuhan Bridge Special Technology Co.,Wuhan 430200,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 [3]中铁大桥局武汉桥梁特种技术有限公司,武汉430200

出　　处：《振动与冲击》2024年第21期211-221,共11页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(51468005)。

摘　　要：针对随机风振激励下实用黏弹性阻尼耗能系统的响应分析复杂且支撑刚度影响研究不足的问题,提出了考虑安装支撑的黏弹性阻尼耗能结构的随机风振响应谱矩及方差的计算方法,并分析了支撑刚度对结构的动力响应特性。首先,依据黏弹性阻尼器与安装支撑的串联关系,建立六参数实用黏弹性阻尼器等效微分型本构方程。其次,综合运用复模态法、虚拟激励法和功率谱二次分解法,推导出耗能结构响应量(位移、层间位移、阻尼力、支撑位移)0~2阶谱矩的解析解。最后,通过算例验证了所提方法的精确性,并研究了支撑刚度对黏弹性阻尼器减震性能与结构可靠度的影响。研究表明,阻尼器支撑刚度越大,阻尼器减震性能越能得到发挥,工程应用时有必要考虑支撑刚度的不利影响。Here,aiming at complex response analysis of practical viscoelastic damping energy dissipation system under random wind excitation and lack of study on effects of support stiffness,a calculation method for random wind response spectral moment and variance of viscoelastic damping energy dissipation structure considering installation of supports was proposed,and effects of support stiffness on structure dynamic response characteristics were analyzed.Firstly,based on the series connection relation between viscoelastic damper and installed support,an equivalent differential constitutive equation of a 6-parameter practical viscoelastic damper was established.Secondly,by comprehensively applying complex mode method,virtual excitation method and power spectrum quadratic decomposition method,analytical solutions to 0-2 order spectral moments of energy dissipation structure responses of displacement,inter-story displacement,damping force and support displacement were derived,respectively.Finally,the accuracy of the proposed method was verified with numerical examples,and effects of support stiffness on aseismic performance and structural reliability of viscoelastic dampers were studied.The study showed that the larger the stiffness of damper support,the better the damping performance of damper;it is necessary to consider the adverse effects of support stiffness in engineering applications.

关 键 词：二次分解法 黏弹性阻尼器 支撑刚度 谱矩 巴斯金风速谱 

分 类 号：TU311.3[建筑科学—结构工程] O324[理学—一般力学与力学基础]