Tranfer function amplitude minimization for structures with tuned mass dampers considering soil-structure interaction

The optimum tuned mass damper (TMD) parameters rely on the superstructure's natural frequency, which, in turn, depends on the soil condition under the structure. Thus, the consideration of soil conditions in determination of the optimum TMD parameters is necessary. In this study, a methodology is proposed for the determination of TMD parameters considering soil-structure interaction. The objective function in the study is the acceleration transfer function. For the stochastic optimization problem, several metaheuristic algorithms, namely harmony search, flower pollination algorithm, teaching, learning based optimization, Jaya algorithm and two new versions of it are employed. Numerical experiments on methodology are presented for a 40-story structure considering soil-structure interaction. It is shown through applications that, especially for soft soils, the use of TMDs is an effective way to damp structural vibrations resulting from seismic sources and consideration of the base stiffness is effective on the optimum TMD parameters. Comparisons among the results obtained through different metaheuristic algorithms are also given.