串联型惯容系统多自由度结构地震响应分析  

Seismic response of MDOF structures with series inerter dampers

作　　者：管涛[1] 王善库[1] 葛新广 王昌盛 GUAN Tao;WANG Shan-ku;GE Xin-guang;WANG Chang-sheng(College of Architectural Engineering,Xinyang Vocational and Technical College,Xinyang 464000,China;School of Civil Engineering and Architecture,Liuzhou Institute of Technology,Liuzhou 545004,China;School of Architectural Engineering,Huanghuai University,Zhumadian 463000,China)

机构地区：[1]信阳职业技术学院建筑工程学院,信阳464000 [2]柳州工学院土木建筑学院,柳州545004 [3]黄淮学院建筑工程学院,驻马店463000

出　　处：《计算力学学报》2025年第1期130-138,共9页Chinese Journal of Computational Mechanics

基　　金：河南省高等学校重点科研项目(22B560008)资助。

摘　　要：研究串联型惯容系统多自由度结构随机地震响应的简明封闭解,分析了惯容系统参数及设置位置对结构减震性能的影响。首先,根据串联型惯容系统力学构造图,建立多自由度结构-惯容系统耦合地震动方程。其次,运用二次式分解法推导出建筑结构节点相对于地面的绝对位移、层间节点位移及串联型惯容系统阻尼力等系列响应的0~2阶谱矩的简明封闭解。最后,通过算例,验证所提方法的正确性并研究了惯容系统参数及设置位置对结构减震性能的影响。研究表明,串联型惯容系统对结构层间位移和顶层绝对位移的减震性能具有非一致性特点;在层间位移较大的楼层设置惯容系统的布置策略是经济可行的。本文可为惯容系统实际工程应用提供参考。Concise closed-form solutions for random seismic responses of MDOF structures with Series Inerter Dampers(SID) were studied,and the effects of parameters and setting floor positions of SIDs on the seismic performance of building structures were analyzed.Firstly,the coupled seismic dynamic equations of a MDOF structure and a SID are established.Secondly,the quadratic decomposition method is used to derive a concise closed-form solution for the 0~2 order spectral moments of the absolute displacement of the structural nodes relative to the ground,interlayer displacement,and force of the SID.Finally,through an example,the correctness of the proposed solution was verified and the characteristics of the parameters of SID and the setting positions on the seismic performance of structures were studied.The result has shown that the influence of the SID on the interlayer displacement and absolute displacement of the top floor of structures is non-consistent;and the damper-setting strategy is economically feasible to set up a SID on floors with significant inter story displacement.The paper can provide a reference for the practical engineering application of inerter dampers.

关 键 词：串联惯容系统 简明封闭解 二次式分解法 参数分析 阻尼器布置策略 

分 类 号：TU311.3[建筑科学—结构工程] O302[理学—力学]