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MINLP optimization of the single-storey industrial building steel structure
Žula, Tomaž ; Klanšek, Uroš
In this paper the optimization of the single-storey industrial building steel structure is presented. The structure consists of the main portal frames, which are mutually connected with the purlins. ...All structural elements are proposed to be built up of standard hot rolled I sections. The structural optimization is performed by the Mixed-Integer Non-linear programming approach, MINLP. The MINLP performs a discrete topology and standard dimension optimization, while continuous parameters are simultaneously calculated inside the continuous space. Since the discrete/continuous optimization problem of steel frames is non-convex and highly non-linear, the Modified Outer-Approximation/Equality- Relaxation (OA/ER) algorithm has been used for the optimization. Alongside the optimal structure mass, the optimal topology (an optimal number of main portal frames and purlins) as well as all standard cross-section sizes have been obtained. The paper includes the theoretical basis and a practical example with the results of the optimization.
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