Multi-Objective Optimization of TMD for Frame Structure Based on Response Surface Methodology and Weighted Desirability Function

Abstract

Multi-objective optimization approach has been applied to find an optimum Tuned Mass Damper (TMD) to attenuate the earthquake induced vibrations of a ten-stored frame structure. In the optimization process, the Response Surface Methodology (RSM) with the experimental design of central Composite Design (CCD) and weighted desirability function (WDF) have been utilized for getting an optimum TMD. The properties of TMD such as frequency ratio and damping ratio have been considered as design variables where the top floor root mean square displacement and frequency responses were considered as objective functions. The optimization has been executed under the El Centro earthquake loads. To evaluate the efficiency of RSM and WDF based optimum TMD, the structure has been analyzed with the Den Hartog’s, Sadek et al.’s and Warburton’s designed TMD respectively for the El Centro, California and Northridge earthquakes load. The evaluated results have been found more satisfactory with the RSM and WDF based optimum TMD than with the others TMD.