Two-stage optimum design of tuned mass dampers with consideration of stroke

This paper presents a two-stage optimum design procedure for passive tuned mass dampers (PTMDs) to reduce structural dynamic responses with the limitation of PTMD stroke. A new performance index, with the linear combination of structural response ratio and PTMD stroke ratio by a weighting factor alpha, is proposed. alpha ranges from 0 to 1.0. The larger the alpha, the more important the consideration of the stroke. When alpha equals 1.0, the PTMD is locked. The analytical results show that with little sacrifice Of Structural control effectiveness, the PTMD stroke can be significantly suppressed when an appropriate alpha is selected. The numerical simulation of a three-story building under earthquake excitations demonstrated that the proposed optimum PTMD performs as well as the conventional PTMD and its stroke is 30% reduced. Based on the analysis results, it is proved that the new optimum design concept is more flexible and useful in practical application. Copyright (c) 2009 John Wiley & Sons, Ltd.