设置侧向限位阻尼器的层间隔震结构减震性能研究  

Research on Anti⁃Seismic Performances of Interlayer Isolation Structures With Lateral Stopping Viscoelastic Dampers

作　　者：赵立菊[1] 王善库[1] 王晓琳 葛新广 ZHAO Liju;WANG Shanku;WANG Xiaolin;GE Xinguang(College of Architectural Engineering,Xinyang Vocational and Technical College,Xinyang,Henan 464000,P.R.China;School of Civil Engineering and Architecture,Liuzhou Institute of Technology,Liuzhou,Guangxi 545004,P.R.China)

机构地区：[1]信阳职业技术学院建筑工程学院,河南信阳464000 [2]柳州工学院土木建筑学院,广西柳州545004

出　　处：《应用数学和力学》2024年第5期582-593,共12页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(51468005)。

摘　　要：对在隔震层设置侧向限位黏弹性阻尼器组成混合耗能结构随机激励下的减震性能进行了系统研究.首先,建立混合耗能结构的地震动方程,利用双过滤白噪声激励地震动的滤波方程,将该类激励下混合耗能结构的动力学问题精确转化为基于易于获得简明封闭解的白噪声激励问题.其次,基于复模态法和白噪声激励的Dirac函数性质推导了混合耗能结构系列响应(结构位移、层间位移和阻尼器阻尼力)的方差和0~2阶谱矩的简明封闭解.最后,通过算例在验证所提封闭解正确的基础上研究了混合耗能结构减震性能的影响因素.研究表明:层间隔震层以上楼层的结构响应量随着隔震层刚度的增大而增大;黏弹性阻尼器阻尼参数对隔震层以上楼层的影响特征为,结构位移在一定阻尼参数下可达到最小,而层间位移则随着阻尼参数的增大而增大.该研究可为层间隔震混合耗能结构的设计提供参考.Anti-seismic performances of the hybrid energy dissipation structure(HEDS)composed of an isola-tion interlayer with lateral stopping viscoelastic dampers(VEDs)under random excitation were systematically investigated.Firstly,the seismic motion equations for the HEDS subjected to the double-filtered white noise ex-citation(DFWNE)were established,and the filtering equation of the DFWNE was used to accurately transform the dynamic calculation of the HEDS based on the DFWNE into white noise excitation problems to be easily tackled with concise closed-form solutions.Secondly,based on the complex mode method and the properties of the Dirac function for white noise excitation,a concise closed-form solution of the variance and 0th-to 2nd-or-der spectral moments of the series of responses(structural displacements,interlayer displacements,and damp-er damping forces)of the HEDS,was derived.Finally,based on the verification of the correctness of the pro-posed closed solution through numerical examples,the influencing factors on the seismic performances of the HEDS were studied.The results show that,the structural responses of floors above the isolation layer increase with the stiffness of the isolation layer;while the damping parameter of the VED have different effects on the interlayer displacement and structural displacements of floors above the isolation layer,i.e.,the structural dis-placement can reach the minimum under certain damping parameter of the VED,but the interlayer displacement increases with the damping parameter of the VED.This study can provide reference for the design of HEDSs.

关 键 词：层间隔震 侧向限位阻尼器 滤波方程 简明封闭解 减震性能 

分 类 号：O324[理学—一般力学与力学基础]