Gaspar, Joana S. D.Loja, AméliaBarbosa, Joaquim2026-05-112026-05-112025-06-20Gaspar, J. S. D., Loja, M. A. R., Barbosa, J. I. (2025). Plane frame structures: optimization and design solutions clustering. Algorithms, 18(7), 1-20. https://doi.org/10.3390/a18070375http://hdl.handle.net/10400.21/22868This work aims to constitute a framework dataflow based on the prediction, optimization, and characterization of optimal solutions. To this purpose, a metaheuristic optimization method is used to obtain the optimal design solutions for discrete plane frame structures considering as objective function the minimization of their maximum resultant displacement, subjected to side and behavioral constraints. The design variables that lead to the optimal solutions are constituted into datasets which are subsequently submitted to a clustering analysis. The results obtained provide pertinent insights about the optimal solutions clusters’ ranges, giving effective support to a specific solution selection.engRed fox optimizationFinite element methodK-means methodClusteringSteel structuresFrame-type structuresresearch article10.3390/a180703751999-4893