Structure Optimization with Metaheuristic Algorithms and Analysis by Finite Element Method

In engineering, design is made by considering functionality, reliability, manufacturability, usability, and total cost. There are a wide variety of methods for design optimization. Metaheuristic methods inspired by nature are one of them. In this study, the Refinement firefly algorithm is proposed as a new method. Grey Wolf, Particle Swarm, and Firefly algorithms are compared with the proposed Refinement Firefly Algorithm. Mathematical benchmark problems are used to examine the performance of algorithms. Also, welded beam, cellular beam, and frame system designs are considered sample problems. These design examples are solved by algorithms and the sections are determined. The sections determined by optimization were analyzed using the ABAQUS CAE program and its reliability was examined. Numerical analysis with the finite element method is very useful as it provides realistic solutions. ABAQUS CAE is used to detect and show deformations in the structure. Finite element solution with ABAQUS solves the problems analytically and it is seen that the sections determined by the optimum design algorithm remain within the limits. The proposed Refinement Firefly algorithm demonstrates superior performance compared to the Firefly algorithm. However, it yields inferior results when compared to the Grey Wolf and Particle Swarm algorithms.