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Characteristic Analysis of Random Response of MDOF Structures with Series Inerter Dampers

DOI：

 作者 单位 邮编 管涛0 信阳职业技术学院建筑工程学院 464000 王善库0 信阳职业技术学院建筑工程学院 葛新广* 柳州工学院土木建筑学院 545004 王昌盛0 黄淮学院建筑工程学院黄淮学院建筑工程学院

研究了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楼层位置对建筑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、楼层间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,通过一算例,验证了封闭解的正确性并研究了惯容系统参数及设置楼层位置对建筑结构减震性能的影响特性。研究表明,串联型惯容系统对建筑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 response of MDOF structure with Series Inerter Dampers(SID) was studied, and the effects of parameters and setting floor positions of SIDs on the seismic performance of building structures were analyzed. Firstly, based on the mechanical construction diagram of SID, the coupled seismic dynamic equations of the MDOF structure and 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 building structural nodes relative to the ground, interlayer displacement, and force of 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. Result has shown that the influence of SID on the interlayer displacement and absolute displacement of the top floor of structures is non-consistent; and damper setting strategy is economically feasible to set up SID on floors with significant inter story displacement. The paper can provide reference for the practical engineering application of inerter.
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