Tuned mass damper inerter (TMDI) is commonly reported to be a lightweight tunable device that can significantly reduce buildings' seismic response. However, the backward action produced by the inerter and returned to the building in conventional TMDIs may either reduce the device performance or limit the inerter potential. This study proposes and investigates a novel control scheme using large physical mass ratios generated by lightweight inerters. Hence, a double mass tuned damper inerter (DMTDI) is formulated. The proposed control scheme consists of two TMDs placed at the roof of the building and connected via an inerter. Thus, the inerter backward action is transmitted to the secondary mass instead of the building. Both TMDI and DMTDI parameters are optimized using a genetic algorithm (GA). The top floor displacement transfer function's $H_2$- norm is considered as the objective function for minimization. The optimally tuned devices are then tested under one hundred (100) near and far-field ground motions. The results obtained show a significant response improvement in peak displacement, acceleration, and base shear. The structure energy is also investigated; the lowest energy response in the studied structure is observed while using the proposed DMTDI scheme.

调谐质量阻尼器惰化器 (TMDI) 通常被认为是一种轻型可调装置，可以显着降低建筑物的地震响应。然而，惰性剂产生的反向作用并返回到传统 TMDI 中的建筑物可能会降低设备性能或限制惰性剂的潜力。本研究提出并研究了一种新的控制方案，该方案使用轻质惰化器产生的大物理质量比。因此，制定了双质量调谐阻尼器惰性器 (DMTDI)。建议的控制方案包括放置在建筑物屋顶的两个 TMD，并通过一个惰性装置连接。因此，惰性向后作用传递到次要质量而不是建筑物。TMDI 和 DMTDI 参数均使用遗传算法 (GA) 进行优化。顶层位移传递函数$H_2$- 范数被认为是最小化的目标函数。然后在一百 (100) 次近场和远场地面运动下测试经过优化调整的设备。获得的结果显示峰值位移、加速度和基础剪切的响应显着改善。还研究了结构能；在使用所提出的 DMTDI 方案时，观察到所研究结构中的最低能量响应。