This paper presents an intuitive procedure for the shape and sizing optimizations of open and closed thin-walled steel sections using the graph theory. The goal is to find shapes of optimum mass and strength (bi-objectives). The shape optimization of open sections is treated as a multi-objective all-pairs shortest path problem, while that of closed sections is treated as a multi-objective minimum mean cycle problem. The sizing optimization of a predetermined shape is treated as a multi-objective single-pair shortest path problem. Multi-colony ant algorithms are formulated for solving the optimization problems. The verification and numerical examples involving the shape optimizations of open and closed thin-walled steel sections and the sizing optimization of trapezoidal roof sheeting are presented.
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Citation
Sharafi, P., Teh, L. H. & Hadi, M. N. S. (2014). Shape optimization of thin-walled steel sections using graph theory and ACO algorithm. Journal of Constructional Steel Research, 101 331-341.