“…O'Brien and Dixon [6] have proposed a linear programming approach for the optimal design of pitched roof frames. Guerlement et al [7] have introduced a practical method for single-storey steel structures, based on a discrete minimum weight design and Eurocode 3 design constraints. Recently, Saka [8] has considered an optimum design of pitched roof steel frames with haunched rafters by using a genetic algorithm.…”
This paper presents the cost optimization of a single-storey industrial steel building structure. The optimization is performed by the Mixed-Integer Non-linear programming approach, MINLP. 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 MINLP performs the simultaneous cost, topology and discrete sizes optimization of the building structure. Since the discrete/continuous optimization problem is non-convex and highly non-linear, the Modified Outer-Approximation/EqualityRelaxation (OA/ER) algorithm has been used for the optimization. Alongside the optimal structure's costs, the optimal number of main portal frames and purlins as well as all standard cross-section sizes have been obtained.
“…O'Brien and Dixon [6] have proposed a linear programming approach for the optimal design of pitched roof frames. Guerlement et al [7] have introduced a practical method for single-storey steel structures, based on a discrete minimum weight design and Eurocode 3 design constraints. Recently, Saka [8] has considered an optimum design of pitched roof steel frames with haunched rafters by using a genetic algorithm.…”
This paper presents the cost optimization of a single-storey industrial steel building structure. The optimization is performed by the Mixed-Integer Non-linear programming approach, MINLP. 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 MINLP performs the simultaneous cost, topology and discrete sizes optimization of the building structure. Since the discrete/continuous optimization problem is non-convex and highly non-linear, the Modified Outer-Approximation/EqualityRelaxation (OA/ER) algorithm has been used for the optimization. Alongside the optimal structure's costs, the optimal number of main portal frames and purlins as well as all standard cross-section sizes have been obtained.
“…O'Brien and Dixon [2] have proposed a linear programming approach for the optimal design of pitched roof frames. Gurlement et al [3] have introduced a practical method for single-storey steel structures, based on a discrete minimum weight design and Eurocode design constraints. Saka [4] has considered an optimum design of pitched roof steel frames with haunched rafters by using a genetic algorithm.…”
“…Stresses were controlled using an algorithm in which redundant material was removed in elements with these least stresses. Guerlement et al (2001) applied this approach to DSO, taking into account Eurocodes.…”
A very simple method for finding the minimum weight of a structure designed from a list of available parameters is presented. The structure can be subjected to multiple loading conditions with constraints imposed on displacements, stresses and eigenfrequency. The method consists of a recursive removal of redundant material, starting from the heaviest structure. The number of analyses required is a factor of 10 2 less than for most stochastic methods. The knowledge needed for application of the method is limited to the finite-element method.
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