Optimal performance design of bi-Tuned Mass Damper systems using multi-objective optimization

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Optimal performance design of bi-Tuned Mass Damper systems using multi-objective optimization

Ok, Seung-Yong / Song, Junho / Park, Kwan-Soon

Abstract This paper proposes a multi-objective optimization based design methodology of bi-Tuned Mass Damper (TMD) systems to guarantee robust seismic performance of building structures against off-tunings between norminal and actual conditions of the structure. The proposed approach first introduces two performance measures for bi-TMD systems, i.e., “nominal” and “robust“ performance indices, which are defined in terms of the maximum frequency responses of the damped structure in its original design condition and those in perturbed conditions, respectively. These performance measures are incorporated into a vector form of objective functions for a multi-objective optimization of bi-TMD designs. This approach systematically finds a set of Pareto optimal solutions which are mutually conflicting in terms of the two objective functions. A reasonable design is then selected from the Paretooptimal surface. Illustrative examples are presented for optimlal design problems of TMD and bi-TMD. The nominal and robust performances of the optimal designs are examined through a parametric study on uncertain characteristics of ground motions. The comparative results demonstrate that the proposed optimal design approach guarantees effective and robust performance of bi-TMD systems in controlling the responses of the building structures under seismic excitations.