Recently, many kinds of tuned inerter-based dampers (TIDs) have been developed due to the mass amplification property of inerters. These devices normally present better control performances compared with the conventional tuned mass damper (TMD). For a single TID installed on a main structure, similar to the single TMD system, its control behavior is sensitive to the changes in the parameters of the main structure, and mistuning may occur. The control effectiveness can then be significantly reduced. To solve this problem, multiple TMD (MTMD) system has been developed. Similar to the MTMD system, this paper proposes a multiple TID (MTID) system for seismic induced vibration control of engineering structures. Four types of MTIDs, depending on the connection configuration of the dashpot, spring, and inerter elements, are considered. The optimum design parameters of the MTID systems are firstly obtained with the assumption of a white-noise excitation. The distribution of the optimum design parameters, the control performance, the stroke of each TID, and the robustness of the control system are then systematically investigated. Moreover, the control effectiveness of the optimized MTIDs is also examined under natural ground motions, and comparisons among the four types of MTIDs as well as the conventional MTMD are conducted. The analytical results show that among these control schemes, two types of MTIDs, that is, (a) the parallel connection of the spring and dashpot with the series connection of the inerter and (b) the parallel connection of the inerter and dashpot with the series connection of the spring, have pronounced control performances to suppress the displacement and absolute acceleration responses of the main structure.

中文翻译：

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用于地震诱发结构振动控制的多调谐惯性阻尼器的性能评估

最近，由于惰性材料的质量放大特性，已经开发了多种基于惰性材料的调谐阻尼器 (TID)。与传统的调谐质量阻尼器 (TMD) 相比，这些装置通常具有更好的控制性能。对于安装在主体结构上的单一TID，类似于单一的TMD系统，其控制行为对主体结构参数的变化很敏感，可能会出现失谐。这样一来，控制效果就会显着降低。为了解决这个问题，已经开发了多TMD（MTMD）系统。与MTMD系统类似，本文提出了一种用于工程结构地震激振控制的多TID（MTID）系统。根据缓冲器、弹簧和惰性元件的连接配置，考虑了四种类型的 MTID。MTID 系统的最佳设计参数首先在白噪声激励的假设下获得。然后系统地研究了最佳设计参数的分布、控制性能、每个 TID 的行程以及控制系统的鲁棒性。此外，优化后的 MTID 的控制效果也在自然地震动下进行了检验，并对四种类型的 MTID 与传统 MTMD 进行了比较。分析结果表明，在这些控制方案中，有两种类型的MTID，即（a）弹簧和缓冲器并联与惰轮串联和（b）惰轮和缓冲器并联与弹簧串联，