Heuristic Approach to Steel Frame Structural Optimisation

Krajnc, Andrej; Beg, D.

doi:10.4203/ccp.70.5.4

Cited by 1 publication

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“…Further, Jármai et al [24] have presented the optimum seismic design of a three-storey steel frame, obtained by the particle swarm optimization algorithm. Krajnc and Beg [25] have performed the weight optimization of welded frame structures, where the optimization was carried out by the genetic algorithm combined with elastic second-order structural analysis. The elastic second-order structural analysis was based on the approximate stiffness equation, which is the most commonly used method in the engineering practice.…”

Section: Introductionmentioning

confidence: 99%

Minlp Optimization of Steel Frames

Klanšek¹,

Žula²,

Kravanja³

et al. 2007

Volume 3 Number 3

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ABSTRACT:The paper presents the discrete dimension optimization of unbraced rigid steel plane frames. The optimization of steel frames was carried out by the Mixed-Integer Non-linear Programming (MINLP) approach. The MINLP is a combined discrete-continuous optimization technique. It performs the discrete optimization of discrete decisions simultaneously with the continuous optimization of continuous parameters. The task of the optimization is to minimize the mass of the frame structure and to find the optimal discrete sizes of standard steel sections for frame members. The finite element equations are defined as the equality constraints for the second-order elastic structural analysis. The design constraints for the steel members were formulated according to Eurocode 3. The Modified Outer-Approximation/ Equality-Relaxation algorithm and a two-phase MINLP optimization approach were applied for the optimization. The latter starts with the continuous optimization of the frame, while the standard dimensions are temporarily relaxed into continuous parameters. When the optimal continuous solution is found, standard sizes of cross-sections are re-established and the simultaneous continuous and discrete dimension optimization by MINLP is then continued until the optimal solution is found. A numerical example of the optimization of a steel frame is presented at the end of the paper to show the suitability of the proposed approach.

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Section: Introductionmentioning

confidence: 99%