Steel and Composite Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Optimum design of geometrically non-linear steel frames using artificial bee colony algorithm

  • Degertekin, S.O. (Department of Civil Engineering, Dicle University)
  • Received : 2011.09.06
  • Accepted : 2012.03.30
  • Published : 2012.06.25
⟨ Previous Next ⟩

Abstract

An artificial bee colony (ABC) algorithm is developed for the optimum design of geometrically non-linear steel frames. The ABC is a new swarm intelligence method which simulates the intelligent foraging behaviour of honeybee swarm for solving the optimization problems. Minimum weight design of steel frames is aimed under the strength, displacement and size constraints. The geometric non-linearity of the frame members is taken into account in the optimum design algorithm. The performance of the ABC algorithm is tested on three steel frames taken from literature. The results obtained from the design examples demonstrate that the ABC algorithm could find better designs than other meta-heuristic optimization algorithms in shorter time.

Keywords

References

  1. AISC-LRFD (2001), "Manual of steel construction-Load and resistance factor design," American Institute of Steel Construction, Chicago.
  2. Camp, C.V., Pezeshk, S. and Cao, G. (1998), "Optimized design of two-dimensional structures using a genetic algorithm," J. Struct. Eng.-ASCE, 124(5), 551-559. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:5(551)
  3. Camp, C.V., Bichon, B.J. and Stovall, P.S. (2005), "Design of steel frames using ant colony optimization," J. Struct. Eng.- ASCE, 131(3), 369-379. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:3(369)
  4. Deb, K. (2000), "An efficient constraint handling method for genetic algorithms," Comput. Method Appl. M., 186(2-4), 311-338. https://doi.org/10.1016/S0045-7825(99)00389-8
  5. Degertekin, S.O. (2008a), "Harmony search algorithm for optimum design of steel frame structures: a comparative study with other optimization methods," Struct. Eng. Mech., 29(4), 391-410. https://doi.org/10.12989/sem.2008.29.4.391
  6. Degertekin, S.O. (2008b), "Optimum design of steel frames using harmony search algorithm," Struct. Multidiscip. O., 36(4), 393-401. https://doi.org/10.1007/s00158-007-0177-4
  7. Degertekin, S.O., Saka, M.P. and Hayalioglu, M.S. (2008a), "Optimal load and resistance factor design of geometrically nonlinear steel space frames via tabu search and genetic algorithm," Eng. Struct., 30(1), 197- 205. https://doi.org/10.1016/j.engstruct.2007.03.014
  8. Degertekin, S.O., Hayalioglu, M.S. and Ulker, M. (2008b), "A hybrid tabu-simulated annealing heuristic algorithm for optimum design of steel frames," Steel Compos. Struct., 8(6), 475-490. https://doi.org/10.12989/scs.2008.8.6.475
  9. Degertekin, S.O. and Hayalioglu, M.S. (2010), "Harmony search algorithm for minimum cost design of steel frames with semi-rigid connections and column bases," Struct. Multidiscip. O., 42(5), 755-768. https://doi.org/10.1007/s00158-010-0533-7
  10. Dorigo, M., Maniezzo, V. and Colorni, A. (1992), "An investigation of some properties of an ant algorithm," Proc. 1992 Parallel Problem Solving from Nature Conf., Elsevier, Amsterdam.
  11. Dumonteil, P., (1992), "Simple equations for effective length factors," Eng. J. AISC, 29(3), 111-115.
  12. Geem, Z.W., Kim, J.H. and Loganathan, G.V. (2001), "A new heuristic optimization algorithm: harmony search," Simulation, 76(2), 60-68. https://doi.org/10.1177/003754970107600201
  13. Hasancebi, O., Carbas, S., Dogan, E., Erdal, F. and Saka, M.P. (2009), "Performance evaluation of metaheuristic search techniques in the optimum design of real size pin jointed structures," Comput. Struct., 87(5-6), 284-302. https://doi.org/10.1016/j.compstruc.2009.01.002
  14. 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
  15. 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(21-22), 1849-1863. https://doi.org/10.1016/j.compstruc.2005.02.009
  16. Hemamalini, S. and Simon, S.P. (2010), "Artificial bee colony algorithm for economic load dispatch problem with non-smooth cost functions," Electr. Pow. Compo. Sys., 38(7), 786-803. https://doi.org/10.1080/15325000903489710
  17. Holland, J.H. (1975), Adaptation in Natural and Artificial Systems, University of Michigan Press, Ann Arbor, MI, 1975.
  18. Karaboga, D. (2005), "An idea based on honey bee swarm for numerical optimization," Technical report-TR06, Erciyes University, Engineering Faculty, Computer Engineering Department.
  19. Karaboga, D. and Basturk, B. (2007), "A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm," J. Global Optim., 39(3), 459-471. https://doi.org/10.1007/s10898-007-9149-x
  20. Karaboga, D. and Basturk, B. (2008), "On the performance of artificial bee colony (ABC) algorithm," Appl. Soft Comput. 8(1), 687-697. https://doi.org/10.1016/j.asoc.2007.05.007
  21. Karaboga, N. (2009), "A new design method based on artificial bee colony algorithm for digital IIR filters," J. Frankl. Inst., 346(4), 328-348. https://doi.org/10.1016/j.jfranklin.2008.11.003
  22. Karaboga, D. and Akay, B. (2009), "A comparative study of artificial bee colony algorithm," Appl. Math. Comput., 214(1), 108-132. https://doi.org/10.1016/j.amc.2009.03.090
  23. Karaboga, D. and Akay, B. (2011), "A modified artificial bee colony (ABC) algorithm for constrained optimization problems," Appl. Soft Comput .11(3), 3021-3031. https://doi.org/10.1016/j.asoc.2010.12.001
  24. Kaveh, A. and Shojaee, S. (2007), "Optimal design of skeletal structures using ant colony optimization", Int. J. Numer. Meth. Eng., 70(5), 563-581. https://doi.org/10.1002/nme.1898
  25. Kennedy, J. and Eberhart, R.C. (1995), "Particle Swarm Optimization", IEEE International Conference on Neural Networks, 1942-1948.
  26. Lamberti, L. and Pappalettere, C. (2009), "An improved harmony-search algorithm for truss structure optimization," Proceedings of the Twelfth International Conference Civil, Structural and Environmental Engineering Computing, Eds. Topping BHV, Neves LFC, Barros, RC Civil-Comp Press, Stirlingshire, Scotland.
  27. Liu, M., Burns, S.A. and Wen, Y.K. (2006), "Genetic algorithm based construction-conscious minimum weight design of seismic steel moment-resisting frames," J. Struct. Eng.- ASCE, 132(1), 50-58. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:1(50)
  28. Omkar, S.N., Senthilnath, J., Khandelwal, R., Nail, G.N. and Gopalakrishnan, S. (2011), "Artificial bee colony (ABC) for multi-objective design optimization," Appl. Soft Comput., 11(1), 489-499. https://doi.org/10.1016/j.asoc.2009.12.008
  29. Pezeshk, S., Camp, C.V. and Chen, D. (2000), "Design of nonlinear framed structures using genetic optimization," J. Struct. Eng.- ASCE, 126(3), 382-388. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:3(382)
  30. Saka, M.P. (2009). "Optimum design of steel sway frames to BS 5950 using harmony search algorithm," J. Constr. Steel Res., 65(1), 36-43. https://doi.org/10.1016/j.jcsr.2008.02.005
  31. Singh, A. (2009), "An artificial bee colony algorithm for the leaf-constrained minimum spanning tree problem," Appl. Soft Comput., 9(2), 625-631. https://doi.org/10.1016/j.asoc.2008.09.001
  32. Sonmez, M. (2011a), "Discrete optimum design of truss structures using artificial bee colony algorithm," Struct. Multidiscip. O., 43(1), 85-97. https://doi.org/10.1007/s00158-010-0551-5
  33. Sonmez, M. (2011b), "Artificial bee colony algorithm for optimization of truss optimization," Appl. Soft Comput., 11(2), 2406-2418. https://doi.org/10.1016/j.asoc.2010.09.003
  34. Toropov, V.V. and Mahfouz, S.Y. (2001), "Design optimization of structural steelwork using a genetic algorithm, FEM and a system of design rules," Eng. Comput., 18(3-4), 437-459. https://doi.org/10.1108/02644400110387118

Cited by

  1. Optimum design of braced steel frames via teaching learning based optimization vol.22, pp.4, 2016, https://doi.org/10.12989/scs.2016.22.4.733
  2. Optimum design of steel space frames with composite beams using genetic algorithm vol.19, pp.2, 2015, https://doi.org/10.12989/scs.2015.19.2.503
  3. An Enhanced Imperialist Competitive Algorithm for optimum design of skeletal structures 2018, https://doi.org/10.1016/j.swevo.2017.12.001
  4. Design optimization of real world steel space frames using artificial bee colony algorithm with Levy flight distribution vol.92, 2016, https://doi.org/10.1016/j.advengsoft.2015.10.013
  5. An improved fireworks algorithm for discrete sizing optimization of steel skeletal structures 2018, https://doi.org/10.1080/0305215X.2017.1417402
  6. Artificial bee colony algorithm with variable search strategy for continuous optimization vol.300, 2015, https://doi.org/10.1016/j.ins.2014.12.043
  7. A Comparison between different techniques for optimum design of steel frames subjected to blast vol.15, pp.9, 2018, https://doi.org/10.1590/1679-78254952
  8. Efficient gravitational search algorithm for optimum design of retaining walls vol.45, pp.1, 2012, https://doi.org/10.12989/sem.2013.45.1.111
  9. Optimum cost design of RC columns using artificial bee colony algorithm vol.45, pp.5, 2013, https://doi.org/10.12989/sem.2013.45.5.643
  10. Optimum design of steel space structures using social spider optimization algorithm with spider jump technique vol.62, pp.3, 2012, https://doi.org/10.12989/sem.2017.62.3.259
  11. Effect of Levy Flight on the discrete optimum design of steel skeletal structures using metaheuristics vol.24, pp.1, 2012, https://doi.org/10.12989/scs.2017.24.1.093
  12. Optimum design of steel bridges including corrosion effect using TLBO vol.63, pp.5, 2012, https://doi.org/10.12989/sem.2017.63.5.607
  13. Optimum design of tied-arch bridges under code requirements using enhanced artificial bee colony algorithm vol.135, pp.None, 2012, https://doi.org/10.1016/j.advengsoft.2019.102685
  14. Performance evaluation of artificial bee colony algorithm and its variants in the optimum design of steel skeletal structures vol.22, pp.1, 2012, https://doi.org/10.1007/s42107-020-00299-z
  15. Performance of Jaya algorithm in optimum design of cold-formed steel frames vol.40, pp.6, 2021, https://doi.org/10.12989/scs.2021.40.6.795