Advances in Computational Design

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Multi-objective structural optimization of spatial steel frames with column orientation and bracing system as design variables

  • Claudio H. B. de Resende (Postgraduate Program of Civil and Environmental Engineering, Pontifical Catholic University of Rio de Janeiro) ;
  • Luiz F. Martha (Department of Civil and Environmental Engineering, Pontifical Catholic University of Rio de Janeiro) ;
  • Afonso C. C. Lemonge (Department of Applied and Computational Mechanics - Federal University of Juiz de Fora) ;
  • Patricia H. Hallak (Department of Applied and Computational Mechanics - Federal University of Juiz de Fora) ;
  • Jose P. G. Carvalho (Postgraduate Program of Civil Engineering - Federal University of Rio de Janeiro) ;
  • Julia C. Motta (Postgraduate Program of Civil Engineering - Federal University of Juiz de Fora)
  • Received : 2023.08.16
  • Accepted : 2023.11.23
  • Published : 2023.10.25
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Abstract

This article explores how multi-objective optimization techniques can be used to design cost-effective and structurally optimal spatial steel structures, highlighting that optimizing performance can be as important as minimizing costs in real-world engineering problems. The study includes the minimization of maximum horizontal displacement, the maximization of the first natural frequency of vibration, the maximization of the critical load factor concerning the first global buckling mode of the structure, and weight minimization as the objectives. Additionally, it outlines a systematic approach to selecting the best design by employing four different evolutionary algorithms based on differential evolution and a multi-criteria decision-making methodology. The paper's contribution lies in its comprehensive consideration of multiple conflicting objectives and its novel approach to simultaneous consideration of bracing system, column orientation, and commercial profiles as design variables.

Keywords

Acknowledgement

This study was financed in part by the Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior - Brazil (CAPES) - Finance Code 001, and Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (Grants 308105/2021-4 and 303221/2022-4), and FAPEMIG (Grants TEC PPM-00174-18 and APQ-00869-22).

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