Performance Assessment of a Benchmark Tall Building Using a Tuned Mass Damper Inerter

Tuned Mass Damper Inerters (TMDIs) are recognized for their effectiveness in mitigating undesirable structural vibrations caused by unpredictable environmental loads. This study aims to derive closed-form expressions for the optimal parameters of a TMDI system using the principles of equal modal frequency and equal modal damping. The objective is to minimize the peak displacement and acceleration responses of a structure subjected to dynamic excitations. Four distinct strategies for controlling structural responses are presented. The resulting closed-form formulas are independent of the excitation frequency and depend solely on the structural damping and the mass ratio of the installed device. The proposed method is applied to a benchmark tall building subjected to wind excitation, demonstrating the robustness and effectiveness of the TMDI in enhancing structural performance. A key contribution of this study is the demonstration that significant reductions in structural displacement and acceleration responses can be achieved using a TMDI with a relatively low physical mass ratio. This finding highlights the efficiency and practicality of the proposed approach, especially for applications where adding large supplemental mass is impractical.