Abstract
In this paper, an approach for conducting a Reliability-Based Design Optimization (RBDO) of truss structures with linked-discrete design variables is proposed. The sections of the truss members are selected from the AISC standard tables and thus the design variables that represent the properties of each section are linked. Latin hypercube sampling is used in the evaluation of the structural reliability. The improved firefly algorithm is used for the optimization solution process. It was found that in order to use the improved firefly algorithm for efficiently solving problems of reliability-based design optimization with linked-discrete design variables; it needs to be modified as proposed in this paper to accelerate its convergence.
Highlights
When design variables of an optimization problem can assume only some predetermined values, these variables are discrete
The examples of this paper show that this modification improves the performance of the Improved Firefly Algorithm (IFA) and accelerates its convergence when used in probabilistic and Reliability-Based Design Optimization (RBDO) problems
The sections were selected from the American Institute of Steel Construction (AISC) standard tables and the design variables that represent the properties of the section were linked-discrete
Summary
When design variables of an optimization problem can assume only some predetermined values, these variables are discrete. The interest in optimization problems with discrete design variables in structural engineering applications dates back to the 1960s. In the case of trusses, only one section property is typically treated in the literature as a design variable for each structural member, namely the cross sectional area. Okasha: Reliability-Based Design Optimization of Trusses with Linked-Discrete Design Variables. An approach for conducting a reliability-based design optimization of truss structures with linked-discrete design variables is proposed. The sections are selected from the AISC standard tables and the design variables that represent the properties of the section are linked and discrete.
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