Optimal design of multi-storey buildings with tuned mass dampers using genetic algorithms and grey wolf optimization

Abstract

Two 10-storey benchmark buildings exposed to different earthquakes are considered in the study in order to analyse the performance and capability of the design of the Tuned Mass Damper (TMD) with the optimal properties. Two optimisation algorithms, i.e. the Modified Genetic Algorithm (MGA) and the Grey Wolves Optimization (GWO) method, are used in the investigation. Firstly, the effectiveness of MGA and GWO, under optimally designed TMD system is verified by comparing the results with the ones obtained by other methods. In a second part, the optimum design of TMD system is determined by including mass of TMD as a design variable so as to assess the feasibility of MGA and GWO. The MGA and GWO methods hold the better responses based on the reduction in the displacement, drift and acceleration of all stories subjected to different seismic excitations. The smaller properties of the TMD are attained using the methods of MGA and GWO as compared to the ones obtained by the Den Hartog and Warburton methods based on the objective function. Therefore, the MGA and GWO approaches lead to more practical and efficient solutions, which allows us to design economically the TMD systems rather than that of the other methods based on the reduction of structural responses. The results show that the efficiency of the parameters and modifications can be enhanced by selecting the proper access in the regulation output with requirements to be diminished.