OPTIMUM DESIGN OF SKELETAL STRUCTURES USING METAHEURISTICS: A SURVEY OF THE STATE-OF-THE-ART
Year 2014,
Volume: 6 Issue: 3, 1 - 11, 01.09.2014
S. Kazemzadeh Azad
O. Hasançebi
Abstract
During the past decades, inherent complexity of practical structural optimization problems motivated the researchers to develop efficient and robust optimization techniques. Undoubtedly, most of the recently developed optimization algorithms for optimum design of skeletal structures belong to the class of stochastic search algorithms or metaheuristics. This study is an attempt to outline the state-of-the-art in optimum design of skeletal structures as well as today’s main concerns in this field. Some of the most recent applications of metaheuristics are summarized, and a brief conclusion of today’s trend towards the computationally enhanced techniques is provided
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Year 2014,
Volume: 6 Issue: 3, 1 - 11, 01.09.2014
S. Kazemzadeh Azad
O. Hasançebi
References
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- [3] Hall, S.K., Cameron, G.E., and Grierson, D.E., Least-weight design of steel frameworks accounting for P-Δ effects, J Struct Eng, ASCE, 115(6), 1463–1475, 1989.
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- [10] Saka, M. P., Optimum design of space trusses with buckling constraints, Proceedings of 3rd International Conference on Space Structures, University of Surrey, Guildford, U.K., September, 1984.
- [11] Tabak, E. I., and Wright, P. M., Optimality criteria method for building frames, J Struct Division, 107, 1327–1342, 1981.
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- [23] Saka, M.P., and Geem, Z.W., Mathematical and Metaheuristic Applications in Design Optimization of Steel Frame Structures: An Extensive Review, Mathematical Problems in Engineering, Article ID 271031, 2013. doi:10.1155/2013/271031.
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- [30] Hayalioglu, M. S., and Degertekin, S. O., Minimum cost design of steel frames with semi-rigid connections and column bases via genetic optimization, Comput Struct, 83(21–22), 1849–1863, 2005.
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- [33] Kazemzadeh Azad, S., Kazemzadeh Azad, S., and Kulkarni A.J., Structural optimization using a mutation based genetic algorithm, Int J Optim Civil Eng, 2 (1), 81-101, 2012.
- [34] Fourie, P.C., Groenwold, A.A., The particle swarm optimization algorithm in size and shape optimization, Struct Multidiscip Optim, 23, 259–267, 2002.
- [35] Perez, R.E., Behdinan, K., Particle swarm approach for structural design optimization, Comput Struct, 85, 1579–1588, 2007.
- [36] Li, L.J., Huang, Z.B., Liu, F., Wu, Q.H., A heuristic particle swarm optimizer for optimization of pin connected structures, Comput Struct, 85, 340–349, 2007.
- [37] Li, L.J., Huang, Z.B., Liu, F., A heuristic particle swarm optimization method for truss structures with discrete variables, Comput Struct, 87, 435–443, 2009.
- [38] Kaveh, A., Talatahari, S., A particle swarm ant colony optimization for truss structures with discrete variables, J Construct Steel Res, 65, 1558–1568, 2009.
- [39] Luh, G.C., Lin, C.Y., Optimal design of truss-structures using particle swarm optimization, Comput Struct, 89, 2221–2232, 2011.
- [40] Gomes, H.M., Truss optimization with dynamic constraints using a particle swarm algorithm, Expert Syst Appl, 38, 957–968, 2011.
- [41] Geem, Z. W., Kim, J. H., and Loganathan, G. V., A new heuristic optimization algorithm: harmony search, Simulation, 76(2), 60–68, 2001.
- [42] Lee, K. S., and Geem, Z. W., A new structural optimization method based on the harmony search algorithm, Comput Struct, 82, 781–98, 2004.
- [43] Saka, M. P., Optimum geometry design of geodesic domes using harmony search algorithm, Adv Struct Eng, 10, 595–606, 2007.
- [44] Carbas, S., and Saka, M. P., Optimum design of single layer network domes using harmony search method, Asian J Civ Eng, 10(1), 97–112, 2009.
- [45] Saka, M. P., Optimum design of steel sway frames to BS5950 using harmony search algorithm, J Construct Steel Res, 65(1), 36–43, 2009.
- [46] Hasançebi, O., Erdal, F., and Saka, M. P., Adaptive harmony search method for structural optimization. J Struct Eng, ASCE, 136(4), 419–431, 2010.
- [47] Karaboga, D., An idea based on honey bee swarm for numerical optimization, Technical Report TR06, Computer Engineering Department, Erciyes University, Turkey, 2005.
- [48] Hadidi, A., Kazemzadeh Azad, S., Kazemzadeh Azad, S., Structural optimization using artificial bee colony algorithm, The 2nd International Conference on Engineering Optimization (Eng Opt), Lisbon, Portugal, 2010.
- [49] Sonmez, M., Discrete optimum design of truss structures using artificial bee colony algorithm, Struct Multidisc Optim, 43, 85–97, 2011.
- [50] Sonmez, M., Artificial bee colony algorithm for optimization of truss structures, Appl Soft Comp, 11, 2406–2418, 2011.
- [51] Erol, O. K., and Eksin, I., A New optimization method: Big Bang–Big Crunch, Adv Eng Software, 37, 106–11, 2006.
- [52] Camp, C.V., Design of space trusses using Big Bang–Big Crunch optimization, J Struct Eng, ASCE, 133, 999–1008, 2007.
- [53] Kaveh, A., and Abbasgholiha, H., Optimum design of steel sway frames using big bang– big crunch algorithm, Asian J Civ Eng, 12, 293–317, 2011.
- [54] Lamberti, L., and Pappalettere, C., A fast big bang-big crunch optimization algorithm for weight minimization of truss structures. In: Tsompanakis Y, Topping BHV, editors. Proceedings of the Second International Conference on Soft Computing Technology in Civil, Structural and Environmental Engineering, Stirlingshire, UK, Civil-Comp Press, 2011.
- [55] Kaveh, A., and Talatahari, S., Size optimization of space trusses using big bang-big crunch algorithm, Comput Struct, 87, 1129–1140, 2009.
- [56] Kaveh, A., and Talatahari, S., Optimal design of Schwedler and ribbed domes via hybrid big bang-big crunch algorithm, J Construct Steel Res, 66, 412–419, 2009.
- [57] Kaveh, A., and Talatahari, S., A discrete big bang-big crunch algorithm for optimal design of skeletal structures, Asian J Civ Eng, 11, 103–123, 2010.
- [58] Kazemzadeh Azad, S., Hasançebi, O., and Erol, O.K., Evaluating efficiency of big bangbig crunch algorithm in benchmark engineering optimization problems, Int J Optim Civ Eng, 1, 495–505, 2011.
- [59] Kaveh, A., Talatahari, S., A novel heuristic optimization method: charged system search, Acta Mech, 213, 267–289, 2010
- [60] Kaveh, A., Talatahari, S., Optimal design of skeletal structures via the charged system search algorithm, Struct Multidisc Optim, 41, 893–911, 2010.
- [61] Kaveh, A., Talatahari, S., A charged system search with a fly to boundary method for discrete optimum design of truss structures, Asian J Civ Eng, 11(3), 277–293, 2010.
- [62] Kaveh, A., and Talatahari, S., An enhanced charged system search for configuration optimization using the concept of fields of forces, Struct Multidisc Opt, 43(3), 339–51, 2011.
- [63] Kaveh, A., and Talatahari, S., Charged system search for optimal design of frame structures, Appl Soft Comp, 12(1), 382–393, 2012.
- [64] Yang, X-S., A new metaheuristic bat-Inspired algorithm, In: J. R. Gonzalez et al. (Eds.), Nature Inspired Cooperative Strategies for Optimization (NISCO 2010), Studies in Computational Intelligence, Springer Berlin, Springer, pp. 65–74, 2010.
- [65] Kaveh, A., Khayatazad, M., A new meta-heuristic method: Ray Optimization, Comput Struct, 112–113, 283–294, 2012.
- [66] Hasançebi, O., Çarbas, S., Dogan, E., Erdal, F., and Saka, M.P., Performance evaluation of metaheuristic search techniques in the optimum design of real size pin jointed structures, Comput Struct, 87, 284–302, 2009.
- [67] Kirkpatrick, S., Gerlatt, C.D., Vecchi, M.P., Optimization by Simulated Annealing, Science, 220, 671–680, 1983.
- [68] Rechenberg, I., Cybernetic Solution Path of An Experimental Problem, Royal Aircraft Establishment, Library translation No. 1122, Farnborough, Hants., UK, 1965.
- [69] Glover, F., Tabu Search-Part I, ORSA Journal on Computing, 1,190–206, 1989.
- [70] AISC-ASD, Manual of steel construction-allowable stress design, ninth ed., Chicago, Illinois, USA, 1989.
- [71] Hasançebi, O., Çarbas, S., Dogan, E., Erdal, F., Saka, M.P., Comparison of nondeterministic search techniques in the optimum design of real size steel frames, Comput Struct, 88, 1033–1048, 2010.
- [72] Hasançebi, O., Bahçecioğlu, T., Kurç, Ö., and Saka, M.P. Optimum design of high-rise steel buildings using an evolution strategy integrated parallel algorithm, Comput Struct, 89, 2037–2051, 2011.
- [73] Kazemzadeh Azad, S., Hasançebi, O., and Kazemzadeh Azad, S., Upper Bound Strategy for Metaheuristic Based Design Optimization of Steel Frames, Adv Eng Software, 57, 19–32, 2013.