Structural Engineering and Mechanics

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A new hybrid method for reliability-based optimal structural design with discrete and continuous variables

  • Ali, Khodam (Department of Civil and Geomechanics Engineering, Arak University of Technology) ;
  • Mohammad Saeid, Farajzadeh (School of Civil Engineering, Iran University of Science and Technology) ;
  • Mohsenali, Shayanfar (School of Civil Engineering, Iran University of Science and Technology)
  • Received : 2022.02.08
  • Accepted : 2022.12.30
  • Published : 2023.02.10
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Abstract

Reliability-Based Design Optimization (RBDO) is an appropriate framework for obtaining optimal designs by taking uncertainties into account. Large-scale problems with implicit limit state functions and problems with discrete design variables are two significant challenges to traditional RBDO methods. To overcome these challenges, this paper proposes a hybrid method to perform RBDO of structures that links Firefly Algorithm (FA) as an optimization tool to advanced (finite element) reliability methods. Furthermore, the Genetic Algorithm (GA) and the FA are compared based on the design cost (objective function) they achieve. In the proposed method, Weighted Simulation Method (WSM) is utilized to assess reliability constraints in the RBDO problems with explicit limit state functions. WSM is selected to reduce computational costs. To performing RBDO of structures with finite element modeling and implicit limit state functions, a First-Order Reliability Method (FORM) based on the Direct Differentiation Method (DDM) is utilized. Four numerical examples are considered to assess the effectiveness of the proposed method. The findings illustrate that the proposed RBDO method is applicable and efficient for RBDO problems with discrete and continuous design variables and finite element modeling.

Keywords

References

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