Comparison of two optimization functionals for the control of monosymmetric structures subject to broad bandwidth earthquakes by means of two tuned liquid column dampers

Abstract

This work focuses on the study of two tuned liquid column dampers (TLCD) for the torsional control of an asymmetric structure with linear behaviour, subjected to a seismic excitation of high frequency content. The model under study is a X-direction monosymmetric structure with two Y-direction TLCD  to control the movement of the structure with lateraltorsional coupling. Two optimization criteria are considered, each one representing an alternative way of defining the deformation demand of the plant edges. The first criterion consists of equalizing the deformation variances of the plant edges. The second criterion involves matching the standard deviations of deformation of the edges of the plant. The final objective is to torsionally balance the structure. The results show a practically identical torsional balance for the two used criteria, except in the case of a flexible torsional frequency ratio and a low mass ratio. Furthermore, it is found that the optimal position of the TLCD for eccentricities greater than 0.12 follows the same behavior rule of the optimal position of the tuned mass dampers.