MINLP Optimization Of The Single-storey
Industrial Building Steel Structure
Author(s)
T. Žula, U. Klanšek & S. Kravanja
Abstract
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.
1 Introduction
Single-storey frame structures are extensively used for industrial, leisure and
commercial buildings. In order to obtain efficient frame designs, researchers
have introduced various optimization techniques, appropriate either for the
continuous or the discrete optimization. O’Brien and Dixon [1] have proposed a
linear programming approach for the optimal design of pitched roof frames.
Guerlement et al. [2] have introduced a practical method for single-storey steel
structures, based on a discrete minimum weight design and Eurocode 3 [3]
design constraints. Recently, Saka [4] has considered an optimum design of
pitched roof steel frames with haunched rafters by using a genetic algorithm.
Keywords
Related Book
Other papers in this volume
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