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Shock and Vibration
Volume 2019, Article ID 9273714, 9 pages
Research Article

Robust Optimum Design of Multiple Tuned Mass Dampers for Vibration Control in Buildings Subjected to Seismic Excitation

1Department of Mechanical Engineering, Federal University of Rio Grande do Sul, Porto Alegre, Brazil
2Department of Civil Engineering, Federal University of Santa Catarina, Florianópolis, Brazil

Correspondence should be addressed to Sergio Pastor Ontiveros-Pérez; rb.sgrfu@sorevitno.oigres

Received 31 August 2018; Revised 5 December 2018; Accepted 30 December 2018; Published 29 January 2019

Academic Editor: Gabriele Cazzulani

Copyright © 2019 Luciara Silva Vellar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Passive energy devices are well known due to their performance for vibration control in buildings subjected to dynamic excitations. Tuned mass damper (TMD) is one of the oldest passive devices, and it has been very much used for vibration control in buildings around the world. However, the best parameters in terms of stiffness and damping and the best position of the TMD to be installed in the structure are an area that has been studied in recent years, seeking optimal designs of such device for attenuation of structural dynamic response. Thus, in this work, a new methodology for simultaneous optimization of parameters and positions of multiple tuned mass dampers (MTMDs) in buildings subjected to earthquakes is proposed. It is important to highlight that the proposed optimization methodology considers uncertainties present in the structural parameters, in the dynamic load, and also in the MTMD design with the aim of obtaining a robust design; that is, a MTMD design that is not sensitive to the variations of the parameters involved in the dynamic behavior of the structure. For illustration purposes, the proposed methodology is applied in a 10-story building, confirming its effectiveness. Thus, it is believed that the proposed methodology can be used as a promising tool for MTMD design.