20.500.12556/DKUM-92020 The MINLP approach to topology, shape and discrete sizing optimization of trusses The paper presents the Mixed-Integer Non-linear Programming (MINLP) approach to the synthesis of trusses. The solution of continuous/discrete non-convex and non-linear optimization problems is discussed with respect to the simultaneous topology, shape and discrete sizing optimization of trusses. A truss MINLP superstructure of different topology and design alternatives has been generated, and a special MINLP model formulation for trusses has been developed. In the optimization model, a mass objective function of the structure has been defined and subjected to design, load and dimensioning constraints. The MINLP problems are solved using the Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm. Multi-level MINLP strategies are introduced to accelerate the convergence of the algorithm. The Modified Two-Phase and the Sequential Two-Phase MINLP strategies are proposed in order to solve highly combinatorial topology, shape and discrete sizing optimization problems. The importance of local buckling constraints on topology optimization is also discussed. Some simple numerical examples are shown at the end of the paper to demonstrate the suitability and efficiency of the proposed method. structural synthesis topology optimization discrete sizing optimization mixed-integer non-linear programming MINLP modified OA/ER algorithm multi-level MINLP strategies steel structures trusses sinteza konstrukcij optimizacija topologije diskretna optimizacija velikosti mešano celoštevilsko nelinearno programiranje modificirani algoritem OA/ER strategija MINLP jeklene konstrukcije paličja true false true MDPI Angleški jezik Slovenski jezik https://www.mdpi.com/journal/applsci © 2022 by the authors Članek v reviji 2025-03-11 15:08:31 2025-03-11 15:08:31 2025-03-12 03:12:43 0000-00-00 00:00:00 2022 0 0 36 str. iss. 3 Vol. 12 29 Jan. 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2021-12-20 2022-01-26 2022-01-29 624.014.27:519.85 96336899 10.3390/app12031459 2076-3417 applsci-12-01459-v2.pdf applsci-12-01459-v2.pdf 1 B2F1F6818EBF041177448B82862869DC d1fbf1e6572f1516fb0ca093bda5ec17b426a1ce0370bedd591a8de8a9dfa87c a6a16126-fe82-11ef-b15e-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=189175 https://www.mdpi.com/2076-3417/12/3/1459 1 54a7e0b6-fe82-11ef-b15e-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=189174 Fakulteta za kemijo in kemijsko tehnologijo Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo 0 0 0