Structural Engineering and Mechanics

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Robust optimum design of MTMD for control of footbridges subjected to human-induced vibrations via the CIOA

  • Leticia Fleck Fadel Miguel (Department of Mechanical Engineering (DEMEC), Federal University of Rio Grande do Sul (UFRGS), Graduate Program in Mechanical Engineering (PROMEC), Graduate Program in Civil Engineering (PPGEC)) ;
  • Otavio Augusto Peter de Souza (Graduate Program in Civil Engineering (PPGEC), Federal University of Rio Grande do Sul (UFRGS))
  • Received : 2021.09.08
  • Accepted : 2023.04.20
  • Published : 2023.06.10
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Abstract

It is recognized that the installation of energy dissipation devices, such as the tuned mass damper (TMD), decreases the dynamic response of structures, however, the best parameters of each device persist hard to determine. Unlike many works that perform only a deterministic optimization, this work proposes a complete methodology to minimize the dynamic response of footbridges by optimizing the parameters of multiple tuned mass dampers (MTMD) taking into account uncertainties present in the parameters of the structure and also of the human excitation. For application purposes, a steel footbridge, based on a real structure, is studied. Three different scenarios for the MTMD are simulated. The proposed robust optimization problem is solved via the Circle-Inspired Optimization Algorithm (CIOA), a novel and efficient metaheuristic algorithm recently developed by the authors. The objective function is to minimize the mean maximum vertical displacement of the footbridge, whereas the design variables are the stiffness and damping constants of the MTMD. The results showed the excellent capacity of the proposed methodology, reducing the mean maximum vertical displacement by more than 36% and in a computational time about 9% less than using a classical genetic algorithm. The results obtained by the proposed methodology are also compared with results obtained through traditional TMD design methods, showing again the best performance of the proposed optimization method. Finally, an analysis of the maximum vertical acceleration showed a reduction of more than 91% for the three scenarios, leading the footbridge to acceleration values below the recommended comfort limits. Hence, the proposed methodology could be employed to optimize MTMD, improving the design of footbridges.

Keywords

Acknowledgement

The authors acknowledge the financial support of Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq) and Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES).

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