The Two-phase MINLP Optimization Of A
Single-storey Industrial Steel Building
Author(s)
T. Žula & S. Kravanja
Abstract
The paper presents the two-phase MINLP topology and standard sizes
optimization of a single-storey industrial steel building. The structure consists of
main portal frames, connected with purlins. It is made from standard hot rolled I
sections. The Mixed-Integer Non-Linear Programming (MINLP) optimization of
the structure is applied. The MINLP performs a discrete topology and standard
dimension optimization, while continuous parameters (stresses, deflections,
mass, costs, etc.) are calculated simultaneously inside the continuous space.
Since the discrete/continuous optimization problem of this type of structures is
non-convex and highly non-linear, the Modified Outer-Approximation/Equality-
Relaxation (OA/ER) algorithm is used for the optimization. The defined mass
objective function is subjected to the set of equality and inequality constraints
known from the structural analysis and dimensioning. The dimensioning of steel
members is performed in accordance with Eurocode 3.
The MINLP optimization is performed in two phases. In the first phase, the
topology optimization of the structure at the relaxed dimensions is performed
only. This phase gives a good linear global approximation to the structure for the
next phase. When the optimal topology is reached, the optimization is continued
at the second phase for the overall topology and standard section discrete
optimization. Alongside the optimal structure mass, the optimal topology with
the optimal number of portal frames and purlins as well as all standard crosssections
are obtained. The paper includes the theoretical basis and a practical
example with the results of the optimization.
Keywords: optimization, topology optimization, discrete sizes optimization,
mixed-integer non-linear programming, MINLP, industrial steel building.
Keywords
optimization, topology optimization, discrete sizes optimization,
mixed-integer non-linear programming, MINLP, industrial steel building.
Related Book
Other papers in this volume
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