Discrete optimization of steel frame structures

Authors:
Stojan Kravanja;Tomaž Žula;Uroš Klanšek
Affiliations:
Faculty of Civil Engineering, University of Maribor, Maribor, Slovenia;Faculty of Civil Engineering, University of Maribor, Maribor, Slovenia;Faculty of Civil Engineering, University of Maribor, Maribor, Slovenia
Venue:
CEA'08 Proceedings of the 2nd WSEAS International Conference on Computer Engineering and Applications
Year:
2008

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The multilevel MINLP optimization approach to structural synthesis: the simultaneous topology, material, standard and rounded dimension optimization

Advances in Engineering Software - Special issue on design optimization

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Abstract

The paper presents the discrete optimization of steel frame structures. The optimization is performed by the Mixed-Integer Non-linear Programming optimization approach (MINLP). The MINLP is a combined continuous and discrete optimization technique, where a structural topology and standard sizes are optimized simultaneously with the continuous parameters (e.g. costs, mass). The MINLP optimization is performed through three steps: i.e. the generation of a mechanical superstructure, the modeling of an MINLP model formulation and the solution of the defined MINLP problem. The Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm and a two-phase MINLP strategy are applied. The optimization is performed by a user-friendly version of the MINLP computer package MIPSYN. Two examples are presented at the end of the paper.