References
- Altifillisch, M.D., Cooke, B.R. and Toprac, A.A. (1957), "An investigation of open web-expanded beams", Weld. Res. Council Bul., 47, 77-88.
- Atiqullah, M.M. and Rao, S.S. (2001), "Tuned annealing for optimization", Comput. Sci., ICCS, 2074, 669-679.
- Bazile, A. and Texier, J. (1968), "Tests on castellated beams", Constr. Metallique, 3, 12-25.
- Coello, C.A.C. (2000), "Use of a self-adaptive penalty approach for engineering optimization problems", Comput. Indus., 41(2), 113-27. https://doi.org/10.1016/S0166-3615(99)00046-9
- British Standards, BS 5950 (2000), Structural Use of Steelworks in Building, Part 1 and 3 Code of Practice for Design in Simple and Continuous construction, hot rolled sections, British Standard Institution, London, U.K.
- Carbas, S. and Saka, M.P. (2012), "Optimum topology design of various geometrically nonlinear latticed domes using improved harmony search method", Struct. Multidis. Optim., 45(3), 377-399. https://doi.org/10.1007/s00158-011-0675-2
- Carbas, S. and Saka, M.P. (2013), "Efficiency of improved harmony search algorithm for solving engineering optimization problems", Int. J. Optim. Civil Eng., 3(1), 99-114.
- Coelho, L.S. and Bernert, D.L.A. (2009), "An improved harmony search algorithm for synchronization of discrete-time chaotic systems", Chaos, Solit. Fract., 41(5), 2526-2532. https://doi.org/10.1016/j.chaos.2008.09.028
- Deb, K. (1991), "Optimal design of a welded beam via genetic algorithms", AIAA J., 29, 2013-5. https://doi.org/10.2514/3.10834
- Degertekin, S.O. (2009), "Optimum design of steel frames using HS algorithm", Comput. Struct., 82, 718-798.
- Dorigo, M. and Stutzle, T. (2004), Ant Colony Optimization, A Bradford Book, Massachusetts Institute of Technology, U.S.A.
- Dougherty, B.K. (1993), "Castellated beams: a state of the art report", Technical Report, J. SA Inst. Civ. Eng., 35, No 2.
- Erdal, F. and Saka, M.P. (2008), "Effect of beam spacing in the harmony search based optimum design of grillages", Asian J. Civil Eng., 9(3), 215-228.
- Erdal, F. and Saka, M.P. (2009), "Optimum design of grillage systems using harmony search algorithm", J. Struct. Multidis. Optim., 38(1), 25-41. https://doi.org/10.1007/s00158-008-0263-2
- Erdal, F. (2011), "Ultimate load carrying capacity of optimally designed cellular beams", Ph.D. Dissertation, Middle East Technical University, Ankara, Turkey.
- Erdal, F., Dogan, E. and Saka, M.P. (2011), "Optimum design of cellular beams using harmony search and particle swarm optimizers", J. Construct. Steel Res., 67(2), 237-247. https://doi.org/10.1016/j.jcsr.2010.07.014
- Erdal, F., Dogan, E. and Saka, M.P. (2013), "An improved particle swarm optimizer for steel grillage systems", Struct. Eng. Mech., 47(4), 513-530. https://doi.org/10.12989/sem.2013.47.4.513
- Fesanghary, M., Mahdavi, M., Minary-Jolandan, M. and Alizadeh, Y. (2008), "Hybridizing harmony search algorithm with sequential quadratic programming for engineering optimization problems", Comput. Meth. Appl. Mech. Eng., 197, 3080-3091. https://doi.org/10.1016/j.cma.2008.02.006
- Gandomi, A.H., Yang, X.S. and Alavi, A.H. (2011), "Mixed variable structural optimization using firefly algorithm", Comput. Struct., 89(23-24), 2325-36. https://doi.org/10.1016/j.compstruc.2011.08.002
- Geem, Z.W. and Kim, J.H. (2001), "A new heuristic optimization algorithm: harmony search", Simulation, 76, 60-68. https://doi.org/10.1177/003754970107600201
- Goldberg, D.E. (1989), Genetic algorithms in search, Optimization and Machine Learning, Addison Wesley.
- Hasancebi, O., Carbas, S., Dogan, E., Erdal, F. and Saka, M.P. (2009), "Performance evaluation of metaheuristic search techniquesin the optimum design of real size pin jointed structures", Comput. Struct., 87, 284-302. https://doi.org/10.1016/j.compstruc.2009.01.002
- Hasancebi, O., Carbas, S., Dogan, E., Erdal, F. and Saka, M.P. (2010), "Comparison of non-deterministic search techniques in the optimum design of real size steel frames", Comput. Struct., 88(17-18), 1033-1048. https://doi.org/10.1016/j.compstruc.2010.06.006
- Hasancebi, O., Erdal, F. and Saka, M.P. (2010), "Practical optimum design of pin-jointed steel domes using stochastic search techniques", Int. J. Eng. Appl. Sci. (IJEAS), 2(2), 88-103.
- Hasancebi, O., Erdal, F. and Saka, M.P. (2010), "An adaptive harmony search method for structural optimization", J. Struct. Eng., ASCE, 136(4), 419-431. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000128
- He, S., Prempain, E. and Wu, Q.H. (2007), "An improved particle swarm optimizer for mechanical design optimization problems", Eng. Optim., 36(5), 585-605. https://doi.org/10.1080/03052150410001704854
- Husain, M.U. and Speirs, W.G. (1973), "Experiments on castellated steel beams", J. Am. Weld. Soc., Weld. Res. Suppl., 52(8), 329-342.
- Kaveh, A. and Talatahari, S. (2010), "Charged system search for optimum grillage system design using the LRFD-AISC Code", J. Construct. Steel Res., 66, 767-771. https://doi.org/10.1016/j.jcsr.2010.01.007
- Kirkpatrick, S., Gerlatt, C.D. and Vecchi, M.P. (1983), "Optimization by simulated annealing", Science, 220, 671-680. https://doi.org/10.1126/science.220.4598.671
- Knowles, P.R. (1980), Design of castellated beams for use with BS 5950 and BS 449, Weldable Structures steel produced to BS: Part 1.
- Lawson, R.M. (1988), Design for Openings in the Webs of Composite Beams, Steel Construction Institute.
- Lee, K.S. and Geem, Z.W. (2004), "A new structural optimization method based on the harmony search algorithm", Comput. Struct., 82,781-798. https://doi.org/10.1016/j.compstruc.2004.01.002
- Lee, K.S. and Geem, Z.W. (2005), "A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice", Comput. Meth. Appl. Mech. Eng., 194, 3902-3933. https://doi.org/10.1016/j.cma.2004.09.007
- Kennedy, J., Eberhart, R. and Shi, Y. (2001), Swarm Intelligence, Morgan Kaufmann Publishers.
- Kerdal, D. and Nethercot, D.A. (1984), "Failure modes for castellated beams", J. Construct. Steel Res., 4, 295-315. https://doi.org/10.1016/0143-974X(84)90004-X
- Mahdavi, M., Fesanghary, M. and Damangir, E. (2007), "An improved harmony search algorithm for solving optimization problems", Appl. Math. Comput., 188(2), 1567-1579. https://doi.org/10.1016/j.amc.2006.11.033
- Manual of Steel Construction (1989), Allowable Stress Design, 9th Edition, AISC, American Institutes of Steel Construction, Inc, Chicago, Illinois, USA.
- Oftadeh, R., Mahjoob, M.J. and Shariatpanahi, M. (2010), "A novel meta-heuristic optimization algorithm inspired by group hunting of animals: Hunting search", Comput. Math. Appl., 60, 2087-2098. https://doi.org/10.1016/j.camwa.2010.07.049
- Omran, M.G.H. and Mahdavi, M. (2008), "Global-best harmony search", Appl. Math. Comput., 198(2), 643-656. https://doi.org/10.1016/j.amc.2007.09.004
- Parsopoulos, K.E. and Vrahatis, M.N. (2005), "Unified particle swarm optimization for solving constrained engineering optimization problems", Lecture Notes in Computer Science 3612 (LNFA), 582-591.
- Redwood, R. and Cho, S.H. (1993), "Design of steel and composite beams with web openings", J. Construct. Steel Res., 25, 23-41. https://doi.org/10.1016/0143-974X(93)90050-3
- Saka, M.P. (2009), "Optimum design of steel frames to BS5950 using harmony search algorithm", J. Construct. Steel Res., 65, 36-43. https://doi.org/10.1016/j.jcsr.2008.02.005
- Taherinejad, N. (2009), "Highly reliable harmony search algorithm", European conference on circuit theory and design (ECCTD'09), Antalya, Turkey, August.
- Toprac, A.A and Cooke, B.R. (1959), An Experimental Investigation of Open-web Beams, Welding Research Council Bulletin, New York, 47, 1-10.
- Ward, J.K. (1990), Design of Composite and Non-composite Cellular Beams, The Steel Construction Institute Publication.
- Zaarour, W. and Redwood, R.G. (1996), "Web buckling in thin webbed castellated beams", J. Struct. Eng., ASCE, 122(8), 860-866. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:8(860)
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