Optimal passive structural control under extreme earthquake excitations using a combined pendulum tuned mass damper

Many engineering applications utilize passive Tuned Mass Dampers (TMDs) in several engineering applications because of their simplicity, readiness, and their ability in attenuating structural vibrations exposed to mild or extreme earthquake excitations. The main aim of this work is to find the optimum values of the system parameters after attaching a three degree of freedom Combined Pendulum Tuned Mass Damper (3-DOF CPTMD) to the main structure to investigate if the proposed solution will assist in reducing the amplitudę of the vibration. Three optimization search techniques are utilized, and the best optimum method is determined. Moreover, the structural system was modelled mathematically to get the governing motion equations, and the system was put into state-space format before being simulated using a homemade MATLAB© code. Additionally, it is found that the proposed 3-DOF CPTMD is very effective in dampening the structural vibrations under various earthquake excitations (including extreme conditions)