Dynamic analysis of a building equipped with a Tuned Mass Damper subjected to artificial seismic excitations considering uncertainties in the parameters of the structure and of the excitation

The present work aims to analyze the effectiveness of a passive vibration control device in a structure subjected to random vibrations. The structure is a ten-story building equipped with a Tuned Mass Damper (TMD) at the top and it is subjected to artificial seismic excitations generated by the Kanai-Tajimi spectrum. The uncertainties present in both the systems and excitation parameters are taken into account. Thus, mass, stiffness and damping of the structure and the TMD, as well as peak ground acceleration (PGA), ground frequency and ground damping ratio are assumed as random variables, and the problem is solved via Monte Carlo Simulation. The study uses Newmark's numerical integration method to obtain the results of displacement, velocity, acceleration and maximum interstory drift values of the structure. The results obtained during the study demonstrate that the variance decreased and the dynamic response of the structure in terms of interstory drift is considerably reduced by about 55% after installing the TMD at the top of the building.