Abstract
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 H2- 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.
Highlights
Frahm [1] first discovered the idea of TMD in 1909
Detailed investigation of response time histories of roof displacement, roof acceleration, and base shear demands caused by three ground motions show that both tuned mass damper inerter (TMDI)
This is expected for devices that are optimized by minimizing H2-norm of the displacement transfer function
Summary
Frahm [1] first discovered the idea of TMD in 1909. He introduced a secondary mass attached to a single degree of freedom (SDOF) system via a tuned linear spring. De Domenico and Ricciardi [39] improved the seismic performance of a base-isolated structure by installing a tuned mass damper inerter (TMDI) between the isolated floor and the ground. A similar idea of MTMD is extended by [6]; who proposed to control the vibration of base-excited SDOF primary system by using double-tuned mass damper with inerters (SDTMDI) In this scheme, the optimal parameters were found according to the extended fixed-point approach for SDOF primary system. Kaveh et al [52] investigated the earlier configurations (TMDI-DI/TMD-SI) applied for SDOF and MODF systems by considering three main objective functions to be minimized They used both H2 and H∞-norms along with the CBO algorithm for a range of mass and inertance ratios. The purpose of using a large number of ground motions is better to understand the studied device’s sensitivity and effectiveness (see, for example [50,55,56,68])
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