Document Type : Original Article
Authors
1
Physics and Engineering Mathematics Department, Faculty of Engineering‑Mataria, Helwan University, Cairo, Egypt.
2
Department of Civil and Construction Engineering, College of Engineering, Imam Abdulrahman Bin Faisal University, Dammam,
3
Civil Engineering Department, Faculty of Engineering-Mataria, Helwan University, Cairo, Egypt
4
Civil Engineering Department, Faculty of Engineering-Mataria, Helwan University, Cairo, Egypt. Faculty of Engineering, King Salman International University, South Sinai, El‑Tur, Egypt.
Abstract
This research investigates the effect of structural rigidity on the mitigation of seismic-induced vibrations in Multi-Degree-of-Freedom (MDOF) structures through the optimal design of a passive control device, the Tuned Mass Damper Inerter (TMDI). Two MDOF models, representing flexible and rigid building structures, were examined to evaluate how their differing structural characteristics influence the performance of the TMDI. A numerical algorithm based on a state-space approach is developed for conducting numerical simulations of building models subjected to low-, medium-, and high-frequency excitations. Critical response parameters, which include displacement, base shear, and story drift, are the main focus of the research, which aims to evaluate the building's performance. The results demonstrate the critical influence of structural rigidity and seismic frequency content on the effectiveness of both TMDs and TMDIs in mitigating seismic responses. The results reveal that both TMD and TMDI systems significantly enhance structural performance by reducing peak displacement, story drift, and base shear across varying structural stiffness and excitation frequencies. TMDs showed slightly higher displacement control, while TMDIs consistently achieved lower drift at upper stories and greater base shear reduction, particularly in flexible structures under medium-frequency ground motions. Additionally, TMDIs are generally more successful at mitigating the response of flexible structures; however, their efficacy in rigid structures may be compromised due to heightened inertial forces and modified dynamic properties. The study's findings unequivocally demonstrate that records with low-frequency content necessitate considerably greater seismic demands than other records for all the models examined.
Keywords
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