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Performance of Jaya algorithm in optimum design of cold-formed steel frames

  • Artar, Musa (Department of Civil Engineering, Bayburt University)
  • Received : 2020.09.04
  • Accepted : 2021.08.11
  • Published : 2021.09.25

Abstract

This paper presents a research on optimum design of cold-formed steel space frames using a new algorithm method named Jaya, which has been developed in recent years. The most obvious difference of Jaya algorithm from other algorithms is that it does not need any control parameters for updating. However, Jaya algorithm is able to successfully reach the optimum solutions without any delay. In this study, in order to test the robustness and practicality of this novel algorithm technique, different steel space frame problems that have been studied with other algorithms in literature are examined. The minimum weight designs of the problems are carried out by selecting suitable C-section from a prepared list including 85 C-sections with lips taken from American Iron and Steel Institute (AISI 2008). A program is coded in MATLAB interacting with SAP2000 OAPI (Open Application Programming Interface) in order to obtain optimum solutions. The strength constraints according to AISI-LRFD (Load and Resistance Factor Design), lateral displacement constraints, inter-story drift constraints and geometrical constraints are taken into account in the analyses. Two different cold-formed steel space frames are taken from literature to research optimum solutions by using Jaya algorithm. The first steel space frame is 379-member and the second steel space frame is 1211-member. The results obtained using Jaya algorithm are compared with those in reference studies. The results prove that Jaya algorithm technique is quite successful and practical optimum design of cold-formed steel space frames.

Keywords

References

  1. Abbasi, M., Khezri, M., Rasmussen, K.J.R. and Schafer, B.W. (2018), "Elastic buckling analysis of cold-formed steel built-up sections with discrete fasteners using the compound strip method", Thin-Wall. Struct., 124, 58-71. https://doi.org/10.1016/j.tws.2017.11.046.
  2. AISI (American Iron and Steel Institute) D100-08 (2008), Excerpts-gross section property tables, cold-formed steel design manual. Part I: Dimensions and properties.
  3. AISI (American Iron and Steel Institute) (2001), North American specification for the design of cold-formed steel structural members.
  4. AISC (American Institute of Steel Construction) (1991), LRFD, Volume 1, Structural members, specifications and code, Manual of Steel Construction.
  5. Artar, M. and Daloglu, A.T. (2015), "Optimum design of steel space frames with composite beams using genetic algorithm", Steel Compos. Struct., 19(2), 503-519. https://doi.org/10.12989/scs.2015.19.2.503.
  6. Artar, M. and Daloglu, A.T. (2019), "Optimum design of steel space truss towers under seismic effect using Jaya algorithm", Struct. Eng. Mech., 71(1),1-12. https://doi.org/10.12989/sem.2019.71.1.001.
  7. Artar M. and Daloglu A.T. (2020), "A research on optimum designs of steel frames including soil effects or semi rigid supports using Jaya algorithm", Struct. Eng. Mech., 73(2), 153-165. https://doi.org/10.12989/sem.2020.73.2.153.
  8. ASCE (2005), Minimum design loads for building and other structures, ASCE7-05, USA.
  9. Aydogdu, I, Carbas, S. and Akin., A. (2017), "Effect of Levy Flight on the discrete optimum design of steel skeletal structures using metaheuristics", Steel Compos. Struct., 24(1), 93-112. https://doi.org/10.12989/scs.2017.24.1.093.
  10. Atmaca, B., Dede, T. and Grzywinski, M. (2020), "Optimization of cables size and prestressing force for a single pylon cable-stayed bridge with Jaya algorithm", Steel Compos. Struct., 34(6), 853-862. https://doi.org/10.12989/scs.2020.34.6.853.
  11. Carbas, S. and Aydogdu, I. (2017), "Utilization of harmony search algorithm in optimal structural design of cold-formed steel structures" , Adv. Intel. Syst. Comput., 514, 240-251. https://doi.org/10.1007/978-981-10-3728-3_24.
  12. Carbas, S., Aydogdu, I., Tokdemir, T. and Saka, M.P. (2014), " Design optimization of low-rise cold-formed steel frames with thin-walled sections using the artificial bee colony algorithm", Civil-Comp Proceedings, 106.
  13. Carbas, S. and Artar, M. (2021) "Optimum design of cold-formed steel frames via five novel nature-inspired metaheuristic algorithms under consideration of seismic loading", Structures, 33, 4011-4030. https://doi.org/10.1016/j.istruc.2021.06.096.
  14. Dede, T. (2018), "Jaya algorithm to solve single objective size optimization problem for steel grillage structures", Steel Compos. Struct., 26(2), 163-170. https://doi.org/10.12989/scs.2018.25.2.163.
  15. Degertekin, S.O., Hayalioglu, M.S. and Ulker, M. (2008), "A hybrid-tabu simulated annealing heuristic algirthm for optimum design of steel frames", Steel Compos. Struct., 8(6), 475-490. https://doi.org/10.12989/scs.2008.8.6.475.
  16. Dede, T., Grzywinski, M. and Selejdak, J. (2020), "Continuous size optimization of large-scale dome structures with dynamic constraints", Struct. Eng. Mech., 73(4), 397-405. https://doi.org/10.12989/sem.2020.73.4.397.
  17. Degertekin, S.O. (2012), "Optimum design of geometrically nonlinear steel frames using artificial bee colony algorithm", Steel Compos. Struct., 12(6), 505-522. https://doi.org/10.12989/scs.2012.12.6.505.
  18. Degertekin, S.O., Lamberti, L. and Ugur, I.B. (2018), "Sizing, layout and topology design optimization of truss structures using the Jaya algorithm", Appl. Soft Comput., 70, 903-928. https://doi.org/10.1016/j.asoc.2017.10.001.
  19. Grzywinski, M., Dede, T. and Ozdemir, Y.I. (2019), "Optimization of the braced dome structures by using Jaya algorithm with frequency constraints", Steel Compos. Struct., 30(1), 47-55. https://doi.org/10.12989/scs.2019.30.1.047.
  20. Hadidi, A. and Rafiee, A. (2014), "Harmony search based, improved Particle Swarm Optimizer for minimum cost design of semi-rigid steel frames", Struct. Eng. Mech., 50(3), 323-347. https://doi.org/10.12989/sem.2014.50.3.323.
  21. 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.
  22. Kaveh, A. and Talatahari, S. (2012), "A hybrid CSS and PSO algorithm for optimal design of structures", Struct. Eng. Mech., 42(6), 783-797. https://doi.org/10.12989/sem.2012.42.6.783.
  23. Kaveh A., Dadras, A. and Geran Malek, N. (2019), "Optimum stacking sequence design of composite laminates for maximum buckling load capacity using parameter-less optimization algorithms", Eng. with Comput., 35, 813-832. https://doi.org/10.1007/s00366-018-0634-2.
  24. 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.
  25. MATLAB (2009), "The Language of Technical Computing" The Mathworks, Natick, MA, USA.
  26. Meza, F.J., Becque, J. and Hajirasouliha, I. (2020), "Experimental study of cold-formed steel built-up beams", J. Struct. Eng., 146(7), 04020126. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002677.
  27. Rafiee, A., Talatahari, S. and Hadidi, A. (2013), "Optimum design of steel frames with semi-rigid connections using Big Bang-Big Crunch method", Steel Compos. Struct., 14(5), 431-451. https://doi.org/10.12989/scs.2013.14.5.431.
  28. Rajeev, S. and Krishnamoorthy, C.S. (1992), "Discrete optimization of structures using genetic algorithms", J. Struct. Eng. ASCE, 118(5), 1233-1250. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:5(1233)
  29. Rao, R.V. (2016), "Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems", Int. J. Ind. Eng. Comput., 7(1), 19-34. https://doi.org/10.5267/j.ijiec.2015.8.004.
  30. Rao, R.V., Rai, D.P. and Balic, J. (2016), "Surface grinding process optimization using Jaya Algorithm", Comput. Intelligence in Data Mining, 411, 487-495. https://doi.org/10.1007/978-81-322-2731-1_46.
  31. Saka, M.P., Carbas, S. Aydogdu, I., Akin, A. and Geem, Z.W. (2015), "Comparative study on recent metaheuristic algorithms in design optimization of cold-formed steel structures", Comput. Method. Appl. Sci., 38, 145-173. https://doi.org/10.1007/978-3-319-18320-6_9.
  32. SAP2000 (2008), "Integrated Finite Elements Analysis and Design of Structures", Computers and Structures, Inc., Berkeley, CA, USA.
  33. Selvaraj, S. and Madhavan, M. (2019) "Structural design of coldformed steel face-to-face connected built-up beams using direct strength method", J. Constr. Steel Res., 160, 613-628. https://doi.org/10.1016/j.jcsr.2019.05.053.
  34. Selvaraj, S. and Madhavan, M. (2021a) "Design of cold-formed steel back-to-back connected built-up beams", J. Constr. Steel Res., 181, 106623. https://doi.org/10.1016/j.jcsr.2021.106623.
  35. Selvaraj, S. and Madhavan, M. (2021b) "Design of cold-formed steel built-up columns subjected to local-global interactive buckling using direct strength method", Thin-Wall. Struct., 159, 107305. https://doi.org/10.1016/j.tws.2020.107305.
  36. Shallan, O., Maaly, HM., Sagiroglu, M. and Hamdy, O. (2019), "Design optimization of semi-rigid space steel frames with semi-rigid bases using biogeography-based optimization and genetic algorithms", Struct. Eng. Mech., 70(2), 221-231. https://doi.org/10.12989/sem.2019.70.2.221.
  37. Shallan, O., Maaly, H.M. and Hamdy, O. (2018), "A developed design optimization model for semi-rigid steel frames using teaching-learning-based optimization and genetic algorithms", Struct. Eng. Mech., 66(2), 173-183. https://doi.org/10.12989/sem.2018.66.2.173.
  38. Topal, U., Trung, V.D., Dede, T. and Nazarimofrad, E. (2018), "Buckling load optimization of laminated plates resting on Pasternak foundation using TLBO", Struct. Eng. Mech., 67(6), 617-628. https://doi.org/10.12989/sem.2018.67.6.617.
  39. Wang, L. and Young, B. (2016), "Behavior of cold-formed steel built-up sections with intermediate stiffeners under bending. I: Tests and numerical validation", J. Struct. Eng., 142(3), 04015150. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001428.
  40. Wang, L. and Young, B. (2018), "Behaviour and design of cold-formed steel built-up section beams with different screw arrangements", Thin-Wall. Struct., 131,16-32. https://doi.org/10.1016/j.tws.2018.06.022.