Browse > Article
http://dx.doi.org/10.12989/sem.2008.29.4.391

Harmony search algorithm for optimum design of steel frame structures: A comparative study with other optimization methods  

Degertekin, S.O. (Department of Civil Engineering, Dicle University)
Publication Information
Structural Engineering and Mechanics / v.29, no.4, 2008 , pp. 391-410 More about this Journal
Abstract
In this article, a harmony search algorithm is presented for optimum design of steel frame structures. Harmony search is a meta-heuristic search method which has been developed recently. It is based on the analogy between the performance process of natural music and searching for solutions of optimization problems. The design algorithms obtain minimum weight frames by selecting suitable sections from a standard set of steel sections such as American Institute of Steel Construction (AISC) wide-flange (W) shapes. Stress constraints of AISC Load and Resistance Factor Design (LRFD) and AISC Allowable Stress Design (ASD) specifications, maximum (lateral displacement) and interstorey drift constraints, and also size constraint for columns were imposed on frames. The results of harmony search algorithm were compared to those of the other optimization algorithms such as genetic algorithm, optimality criterion and simulated annealing for two planar and two space frame structures taken from the literature. The comparisons showed that the harmony search algorithm yielded lighter designs for the design examples presented.
Keywords
optimum design; harmony search; steel frame structures;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 11  (Related Records In Web of Science)
Times Cited By SCOPUS : 10
연도 인용수 순위
1 Chan, C.M. (1992), "An optimality criteria algorithm for tall steel building design using commercial standard sections", Struct Optimiz., 5, 26-29   DOI
2 Degertekin, S.O. (2007), "A comparison of simulated annealing and genetic algorithm for optimum design of non-linear steel space frames", Struct. Multidiscip. O., 34, 347-359   DOI
3 Dhingra, A.K. and Bennage, W.A. (1995), "Topological optimization truss structures using simulated annealing", Eng. Optimiz., 24, 239-259   DOI   ScienceOn
4 Dumonteil, P. (1992), "Simple equations for effective length factors", Eng. J., AISC, 3, 111-115
5 Geem, Z.W, Kim, J.H. and Loganathan, G.V. (2001), "A new heuristic optimization algorithm: harmony search", Simulation, 76, 60-68   DOI   ScienceOn
6 Geem, Z.W. (2006), "Optimal cost design of water distribution networks using harmony search", Eng. Optimiz., 38, 259-280   DOI   ScienceOn
7 Goldberg, D.E. (1989), Genetic Algorithms in Search, Optimization and Machine Learning, Reading MA: Addisson-Wesley
8 Kincaid, R.K. (1993), "Minimizing distortion in truss structures: A comparison of simulated annealing and tabu search", Struct. Optimiz., 5, 217-224   DOI   ScienceOn
9 Kirkpatrick, S., Gelatt, C.D. and Vecchi, M.P. (1983), "Optimization by simulated annealing", Science, 220, 671-680   DOI   ScienceOn
10 Lee, K.S. and Geem, Z.W. (2004), "A new structural optimization method based on the harmony search algorithm", Comput. Struct., 82, 781-798   DOI   ScienceOn
11 Lee, K.S., Geem, Z.W., Lee, S.H. and Bae, K.W. (2005), "The harmony search heuristic algorithm for discrete structural optimization", Eng. Optimiz., 37, 663-684   DOI   ScienceOn
12 Lin, C.C. and Liu, I.W. (1989), "Optimal design based on optimality criterion for frame structures including buckling constraints", Comput. Struct., 31, 535-544   DOI   ScienceOn
13 Manoharan, S. and Shanmuganathan, S. (1999), "A comparison of search mechanisms for structural optimization", Comput. Struct., 73, 363-372   DOI   ScienceOn
14 Park, H.S. and Sung, C.W. (2002), "Optimization of steel structures using distributed simulated annealing algorithm on a cluster of personal computers", Comput. Struct., 80, 1305-1316   DOI   ScienceOn
15 Pezeshk, S., Camp, C.V. and Chen D. (2000), "Design of nonlinear framed structures using genetic optimization", J. Struct. Eng., ASCE, 126, 382-388   DOI   ScienceOn
16 Rajeev, S. and Krishnamoorthy, C.S. (1992), "Discrete optimization of structures using genetic algorithms", J. Struct. Eng., ASCE, 118, 1233-1250   DOI
17 Rao, A.R.M. and Arvind, N. (2007), "Optimal stacking sequence design of laminate composite structures using tabu search embedded simulated annealing", Struct. Eng. Mech., 25(2), 239-268   DOI   ScienceOn
18 Rozvany, G.I.N. and Zhou, M. (1991), "A note on truss design for stress and displacement constraints by optimality criteria methods", Struct. Optimiz., 3, 45-50   DOI
19 Saka, M.P. and Hayalioglu, M.S. (1991), "Optimum design of geometrically nonlinear elastic-plastic steel frames", Comput. Struct., 38, 329-344   DOI   ScienceOn
20 Tabak, E.I. and Wright, P.M. (1981), "Optimality criteria method for building frames", J. Struct. Div., ASCE, 107, 1327-1342
21 Topping, B.H.V., Khan. A.I. and de Barros Leite, J.P. (1993), "Topological design of truss structures using simulated annealing", Neural Networks and Combinatorial Optimization in Civil and Structural Engineering, Edinburgh, U.K., 151-165
22 Uniform Building Code (1997), International Conference of Building Officials. Whittier, California
23 van Laarhoven, P.J.M. and Aarts, E.H.L. (1987), Simulated Annealing: Theory and Applications. D. Riedel Publishing Company: Dordrecht
24 Barski, M. (2006), "Optimal design of shells against buckling subjected to combined loadings", Struct. Multidiscip. O., 31, 211-222   DOI
25 American Institute of Steel Construction (1995), Manual of steel construction: Load and Resistance Factor Design. Chicago, Illionis
26 American Institute of Steel Construction (1989), Manual of steel construction: Allowable Stress Design, Chicago, IIIionis
27 Arora, J.S. (1980), "Analysis of optimality criteria and gradient projection methods for optimal structural design", Comp. Meth. Appl. Mech. Eng., 23, 185-213   DOI   ScienceOn
28 Bennage, W.A. and Dhingra, A.K. (1995), "Single and multiobjective structural optimization in discretecontinuous variables using simulated annealing", Int. J. Numer. Meth. Eng., 38, 2753-2773   DOI   ScienceOn
29 Ad Hoc Committee on Serviceability Research (1986), "Structural serviceability: A critical appraisal and research needs", J. Struct. Eng., ASCE, 112(12), 2646-2664   DOI   ScienceOn
30 Balling, R.J. (1991), "Optimal steel frame design by simulated annealing", J. Struct. Eng., ASCE, 117, 1780- 1795   DOI
31 Ceranic, B., Fryer, C. and Baines, R.W. (2001), "An application of simulated annealing to the optimum design of concrete retaining structures", Comput. Struct., 79, 1569-1581   DOI   ScienceOn
32 Kameshki, E.S. and Saka, M.P. (2001), "Optimum design of nonlinear steel frames with semi rigid connections using a genetic algorithms", Comput. Struct., 79, 1593-1604   DOI   ScienceOn
33 Chen, T.Y., Su, J.J. (2002), "Efficiency improvement of simulated annealing in optimal structural designs", Adv. Eng. Softw., 33, 675-680   DOI   ScienceOn
34 Elperin, T. (1988), "Monte carlo structural optimization in discrete variables with annealing algorithm", Int. J. Numer. Meth. Eng., 26, 815-821   DOI   ScienceOn
35 Hayalioglu, M.S. and Degertekin, S.O. (2004), "Design of non-linear steel frames for stress and displacement constraints with semi-rigid connections via genetic optimization", Struct. Multidiscip. O., 27, 259-271   DOI
36 Kaveh, A. and Kalatraji V. (2004), "Size/geometry optimization of trusses by the force method and genetic algorithm", Z. Angew. Math. Mech., 84, 347-357   DOI   ScienceOn
37 Khot, N.S., Venkayya, V.B. and Berke, L. (1976), "Optimum structural design with stability constraints", Int. J. Numer. Meth. Eng., 10, 1097-1114   DOI   ScienceOn
38 Kim, J.H., Geem, Z.W. and Kim, E.S. (2001), "Parameter estimation of the nonlinear muskingum model using harmony search", J. Am. Water. Resour. As., 37, 1131-1138   DOI   ScienceOn
39 Kincaid, R.K. (1992), "Minimizing distortion and internal forces in truss structures via simulated annealing", Struct. Optimiz., 4, 55-61   DOI
40 Lee, K.S. and Geem, Z.W. (2005), "A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice", Comp. Meth. Appl. Mech. Eng., 194, 3902-3933   DOI   ScienceOn
41 Soegiarso, R. and Adeli, H. (1997), "Optimum load and resistance factor design of steel space-frame structures", J Struct Eng., ASCE, 123, 185-192
42 Paik, K., Jeong, J.H. and Kim, J.H. (2001), "Use of a harmony search for optimal design of coffer dam drainage pipes", J. Korean Soc. Civ. Eng., 21, 119-128
43 Pantelidis, C.P. and Tzan, S.R. (2000), "Modified iterated annealing algorithm for structural synthesis", Adv. Eng. Softw., 31, 391-400   DOI   ScienceOn
44 Shrestha, S.M. and Ghaboussi, J. (1998), "Evolution of optimum structural shapes using genetic algorithm", J. Struct. Eng., ASCE, 124, 1331-1338   DOI   ScienceOn
45 Hayalioglu, M.S. and Degertekin, S.O. (2005), "Minimum cost design of steel frames with semi-rigid connections and column bases via genetic optimization", Comput. Struct., 83, 849-1863
46 Hasancebi, O. and Erbatur, F. (2002), "Layout optimisation of trusses using simulated annealing", Adv. Eng. Softw., 33, 681-696   DOI   ScienceOn
47 Hayalioglu, M.S. (2000), "Optimum design of geometrically non-linear elastic-plastic steel frames via genetic algorithm", Comp. Struct., 77, 527-538   DOI   ScienceOn
48 Hayalioglu, M.S. (2001), "Optimum load and resistance factor design of steel space frames using genetic algorithm", Struct. Multidiscip. O., 21, 292-299   DOI
49 Huang, M.W. and Arora, J.S. (1997), "Optimal design steel structures using standard sections", Struct. Optimiz., 14, 24-35   DOI   ScienceOn
50 Kameski, E.S. and Saka, M.P. (2003), "Genetic algorithm based optimum design of nonlinear planar steel frames with various semirigid connections", J. Constr. Steel Res., 59, 109-134   DOI   ScienceOn
51 Kaveh, A. and Kalatraji, V. (2002), "Genetic algorithm for discrete-sizing optimal design of trusses using the force method", Int. J. Numer. Meth. Eng., 55, 55-72   DOI   ScienceOn
52 Kaveh, A. and Rahami, H. (2006), "Nonlinear analysis and optimal design of structures via force method and genetic algorithm", Comput. Struct., 84, 770-778   DOI   ScienceOn
53 Camp, C., Pezeshk, S. and Cao, G. (1998), "Optimized design of two-dimensional structures using a genetic algorithm", J. Struct. Eng., ASCE, 124, 551-559   DOI   ScienceOn