随机风作用下层间隔震混合耗能结构系列响应的简明封闭解  

Concise closed-form solutions of series random response of hybrid story-isolated structure subjected to wind load

作　　者：赵立菊[1] 葛新广[2] 王善库 Zhao Liju;Ge Xinguang;Wang Shanku(College of Architectural Engineering,Xinyang Vocational and Technical College,464000,Xinyang,China;School of Civil Engineering&Architecture,Guangxi University of Science and Technology,545006,Liuzhou,China)

机构地区：[1]信阳职业技术学院建筑工程学院,信阳464000 [2]广西科技大学土木建筑学院,柳州545006

出　　处：《应用力学学报》2021年第5期2182-2187,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(51468005);广西重点研发计划(桂科AB19259011)。

摘　　要：为了获取随机风载荷下结构的响应,给出了层间隔震混合耗能结构基于Davenport风速谱横向脉动风作用下的简明封闭解。首先,建立了层间隔震和粘弹性阻尼器组成的混合耗能结构的横风向振动方程;其次,综合运用复模态法和虚拟激励法提出了结构频率响应特征值函数的二次正交化,获得了结构系列响应的0阶和2阶谱矩以及绝对加速度方差的简明封闭解;最后,以8层层间隔震混合耗能结构为例,利用该方法对其结构系列响应方差和谱矩进行了分析,验证了该方法的正确性和有效性。A concise closed-form solution of the structural series responses of hybrid energy dissipating isolated structure under lateral fluctuating wind modeled by Davenport spectrum is studied.Firstly,the cross wind vibration equation of hybrid energy dissipating structure consisting of an inter-story isolation and a viscoelastic damper is established.After that,the quadratic orthogonalization of the eigenvalue function of the structural frequency response is proposed by using the complex mode method and the pseudo excitation method,and then the spectra moments of the 0 th-order and 2 nd-order,as well as the absolute acceleration variance are obtained.Finally,an 8-story structure of hybrid energy dissipation is utilized as the numerical simulation,which proves the correctness of this mothed proposed in this paper.

关 键 词：层间隔震 混合耗能结构 频率响应特征值函数 二次正交化 DAVENPORT谱 

分 类 号：TU318[建筑科学—结构工程]