Abstract This paper investigates the design and performance of three configurations of inerter–based tuned mass dampers (TMDs) for the control of undamped single-degree-of-freedom structures subjected to ground acceleration. Inerter-based TMDs utilize the mass effects provided by an inerter in combination with spring and damping elements in otherwise conventional TMDs. The three configurations of inerter-based TMDs investigated have been developed by replacing the dashpot in traditional TMDs with different configurations connecting together a spring, a damper and an inerter. H2 and H-infinity optimum design values are presented through an exact optimization and a numerical optimization, respectively. Each device is also optimally designed considering 44 individual earthquake records. Utilizing individual, average, H2, and H-infinity designs, the performance evaluation of the devices is presented. Similar performance for the three inerter-based TMDs is observed. Compared to the TMD, the inerter-based TMDs can provide a 7% reduction in RMS response to a white noise ground motion, a 25% reduction in the maximum dynamic magnification factor, and an average 7% reduction in the RMS of the primary structure's displacement subjected to earthquake records.

中文翻译：

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用于地面加速度激励结构的基于惯性的调谐质量阻尼器的设计和性能评估

摘要 本文研究了三种基于惯性的调谐质量阻尼器 (TMD) 的设计和性能，用于控制承受地面加速度的无阻尼单自由度结构。基于惰性材料的 TMD 利用惰性材料提供的质量效应，并结合传统 TMD 中的弹簧和阻尼元件。通过用将弹簧、阻尼器和惰性件连接在一起的不同配置代替传统 TMD 中的缓冲器，开发了三种基于惰性的 TMD 配置。H2 和 H-infinity 最佳设计值分别通过精确优化和数值优化呈现。每个设备还考虑了 44 个单独的地震记录进行了优化设计。利用个体、平均、H2 和 H 无穷大设计，介绍了设备的性能评估。观察到三种基于惰性物质的 TMD 具有相似的性能。与 TMD 相比，基于惰性的 TMD 可以对白噪声地面运动的 RMS 响应降低 7%，最大动态放大系数降低 25%，主要结构的 RMS 平均降低 7%。受地震记录影响的位移。