Optimum passive tuned mass damper systems for main structures under harmonic excitation

To increase the effectiveness and robustness of a single Tuned mass damper (TMD), TMDs are connected in series or parallel to the main system. Unlike parallel TMDs (PTMD), series TMDs (STMD) consist of only two different TMD units, each of which is connected to the main structure in series. The optimum parameters of series and parallel TMDs are obtained by using the simulated annealing (SA) algorithm in this study. It is aimed to minimize the displacement in the main system in obtaining the optimum parameters. Also, the explicit formulas that can be easily used for the optimum design of both TMD devices are derived using the curve-fitting technique. The control performance of the optimum STMD device is confirmed through numerical analyses and compared with classical TMD and PTMD.