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Optimum Design of Steel Space Frames by Hybrid Teaching-Learning Based Optimization and Harmony Search Algorithms

Authors: Alper Akın, İbrahim Aydoğdu


This study presents a hybrid metaheuristic algorithm to obtain optimum designs for steel space buildings. The optimum design problem of three-dimensional steel frames is mathematically formulated according to provisions of LRFD-AISC (Load and Resistance factor design of American Institute of Steel Construction). Design constraints such as the strength requirements of structural members, the displacement limitations, the inter-story drift and the other structural constraints are derived from LRFD-AISC specification. In this study, a hybrid algorithm by using teachinglearning based optimization (TLBO) and harmony search (HS) algorithms is employed to solve the stated optimum design problem. These algorithms are two of the recent additions to metaheuristic techniques of numerical optimization and have been an efficient tool for solving discrete programming problems. Using these two algorithms in collaboration creates a more powerful tool and mitigates each other’s weaknesses. To demonstrate the powerful performance of presented hybrid algorithm, the optimum design of a large scale steel building is presented and the results are compared to the previously obtained results available in the literature.

Keywords: harmony search algorithm, optimum structural design, hybrid techniques, teaching-learning based optimization, minimum weight, steel space frame

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[1] S. K. Azad, O. Hasancebi and M. P. Saka, "Guided stochastic search technique for discrete sizing optimization of steel trusses: A designdriven heuristic approach," Computers & Structures, vol.134, no. pp. 62- 74, Apr 1 2014.
[2] O. Hasancebi and S. K. Azad, "Discrete size optimization of steel trusses using a refined big bang-big crunch algorithm," Engineering Optimization, vol.46, no. 1, pp. 61-83, Jan 2 2014.
[3] O. Hasancebi, T. Teke and O. Pekcan, "A bat-inspired algorithm for structural optimization," Computers & Structures, vol.128, no. pp. 77- 90, Nov 2013.
[4] A. Kaveh and S. Talatahari, "Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures," Computers & Structures, vol.87, no. 5-6, pp. 267-283, Mar 2009.
[5] A. Kaveh and S. Talatahari, "Charged system search for optimum grillage system design using the LRFD-AISC code," Journal of Constructional Steel Research, vol.66, no. 6, pp. 767-771, Jun 2010.
[6] M. P. Saka and Z. W. Geem, "Mathematical and Metaheuristic Applications in Design Optimization of Steel Frame Structures: An Extensive Review," Mathematical Problems in Engineering, no. pp. 2013.
[7] C. V. Camp and M. Farshchin, "Design of space trusses using modified teaching-learning based optimization," Engineering Structures, vol.62- 63, no. pp. 87-97, Mar 15 2014.
[8] C. V. Camp and F. Huq, "CO2 and cost optimization of reinforced concrete frames using a big bang-big crunch algorithm," Engineering Structures, vol.48, no. pp. 363-372, Mar 2013.
[9] C. V. Camp and A. Akin, "Design of Retaining Walls Using Big Bang- Big Crunch Optimization," Journal of Structural Engineering-Asce, vol.138, no. 3, pp. 438-448, Mar 2012.
[10] "Load and Resistance Factor Design, Volume 1, Structural Members Specifications Codes," American Institute of Steel Construction 2001., pp. 2001.
[11] R. V. Rao, V. J. Savsani and D. P. Vakharia, "Teaching-Learning-Based Optimization: An optimization method for continuous non-linear large scale problems," Information Sciences, vol.183, no. 1, pp. 1-15, Jan 15 2012.
[12] R. V. Rao, V. J. Savsani and J. Balic, "Teaching-learning-based optimization algorithm for unconstrained and constrained real-parameter optimization problems," Engineering Optimization, vol.44, no. 12, pp. 1447-1462, 2012.
[13] R. V. Rao, V. J. Savsani and D. P. Vakharia, "Teaching-learning-based optimization: A novel method for constrained mechanical design optimization problems," Computer-Aided Design, vol.43, no. 3, pp. 303- 315, Mar 2011.
[14] Z. W. Geem, "Optimal design of water distribution networks using harmony search. ," Korea University vol.PhD, pp. 2000.
[15] Z. W. Geem, J. H. Kim and G. V. Loganathan, "A new heuristic optimization algorithm: Harmony search," Simulation, vol.76, no. 2, pp. 60-68, Feb 2001.
[16] A. Akin and M. P. Saka, "Harmony search algorithm based optimum detailed design of reinforced concrete plane frames subject to ACI 318- 05 provisions," Computers & Structures, vol.147, no. pp. 79-95, Jan 15 2015.
[17] G. Bekdas and S. M. Nigdeli, "Estimating optimum parameters of tuned mass dampers using harmony search," Engineering Structures, vol.33, no. 9, pp. 2716-2723, Sep 2011.
[18] S. O. Degertekin, "Optimum design of steel frames using harmony search algorithm," Structural and Multidisciplinary Optimization, vol.36, no. 4, pp. 393-401, Oct 2008.
[19] O. Hasancebi, F. Erdal and M. P. Saka, "Adaptive Harmony Search Method for Structural Optimization," Journal of Structural Engineering- Asce, vol.136, no. 4, pp. 419-431, Apr 2010.
[20] A. Kaveh and A. S. M. Abadi, "Cost optimization of a composite floor system using an improved harmony search algorithm," Journal of Constructional Steel Research, vol.66, no. 5, pp. 664-669, May 2010.