Optimum Design of Tuned Mass Dampers Using Colliding Bodies Optimization in Frequency Domain

Abstract

Optimum design parameters of tuned mass dampers are calculated as a function of damper to structure mass ratio and inherent damping ratio of the main structure in frequency domain. A robust control algorithm is adopted in order to assure response reduction in controlled structure subjected to different earthquakes, and an equivalent single degree-of-freedom structure is introduced to reduce the computation cost of optimum design. H norm minimization of this equivalent structure is considered as the objective function. Considering inherent structural damping for main structure, the recently developed metaheuristic algorithm known as CBO is used to find the optimum values of the design parameters. Using the proposed procedure, design charts are prepared for a 10-story shear building.

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Correspondence to Ali Kaveh.

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Fahimi Farzam, M., Kaveh, A. Optimum Design of Tuned Mass Dampers Using Colliding Bodies Optimization in Frequency Domain. Iran J Sci Technol Trans Civ Eng 44, 787–802 (2020). https://doi.org/10.1007/s40996-019-00296-6

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Keywords

  • Tuned mass dampers
  • Earthquake excitation
  • Metaheuristic algorithm
  • H norm
  • Robust control