DOI QR코드

DOI QR Code

Triangular units based method for simultaneous optimizations of planar trusses

  • Mortazavi, Ali (Department of Civil Engineering Ege University) ;
  • Togan, Vedat (Department of Civil Engineering, Karadeniz Technical University)
  • Received : 2017.03.09
  • Accepted : 2017.05.13
  • Published : 2017.07.25

Abstract

Simultaneous optimization of trusses which concurrently takes into account design variables related to the size, shape and topology of the structure is recognized as highly complex optimization problems. In this class of optimization problems, it is possible to encounter several unstable mechanisms throughout the solution process. However, to obtain a feasible solution, these unstable mechanisms somehow should be rejected from the set of candidate solutions. This study proposes triangular unit based method (TUBM) instead of ground structure method, which is conventionally used in the topology optimization, to decrease the complexity of search space of simultaneous optimization of the planar truss structures. TUBM considers stability of the triangular units for 2 dimensional truss systems. In addition, integrated particle swarm optimizer (iPSO) strengthened with robust technique so called improved fly-back mechanism is employed as the optimizer tool to obtain the solution for these class of problems. The results obtained in this study show the applicability and efficiency of the TUBM combined with iPSO for the simultaneous optimization of planar truss structures.

Keywords

References

  1. Abedinpourshotorban, H., Hasan, S., Shamsuddin, S.M. and As'Sahra, N.F. (2016), "A differential-based harmony search algorithm for the optimization of continuous problems", Exp. Syst. Appl., 62, 317-332. https://doi.org/10.1016/j.eswa.2016.05.013
  2. Achtziger, W. (2007), "On simultaneous optimization of truss geometry and topology", Struct. Multidiscipl. Optim., 33(4), 285-305. https://doi.org/10.1007/s00158-006-0092-0
  3. Camp, C.V. and Bichon, B.J. (2004), "Design of space trusses using ant colony optimization", J. Struct. Eng., 130(5), 741-751. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:5(741)
  4. Deb, K. and Gulati, S. (2001), "Design of truss-structures for minimum weight using genetic algorithms", Fin. Elem. Anal. Des., 37(5), 447-465 https://doi.org/10.1016/S0168-874X(00)00057-3
  5. Fan, Q. and Yan, X. (2014), "Self-adaptive particle swarm optimization with multiple velocity strategies and its application for p-Xylene oxidation reaction process optimization", Chemometr. Intell. Lab. Syst., 139, 15-25. https://doi.org/10.1016/j.chemolab.2014.09.002
  6. Hasancebi, O., Teke, T. and Pekcan, O. (2013), "A bat-inspired algorithm for structural optimization", Comput. Struct., 128, 77-90. https://doi.org/10.1016/j.compstruc.2013.07.006
  7. He, S., Prempain, E. and Wu, Q.H. (2004), "An improved particle swarm optimizer for mechanical design optimization problems", Eng. Optim. 36, 585-605. https://doi.org/10.1080/03052150410001704854
  8. Kennedy, J. and Eberhart, R.C. (2001), Swarm Intelligence, Morgan Kaufmann Publishers.
  9. Lee, K.S., Geem, Z.W., Lee, S.H. and Bae, K.W. (2005), "The harmony search heuristic algorithm for discrete structural optimization", Eng. Optim., 37(7), 663-684. https://doi.org/10.1080/03052150500211895
  10. Li, J.P. (2015), "Truss topology optimization using an improved species-conserving genetic algorithm", Eng. Opt., 47(1), 107-128. https://doi.org/10.1080/0305215X.2013.875165
  11. Li, L.J., Huang, Z.B. and Liu, F. (2009), "A heuristic particle swarm optimization method for truss structures with discrete variables", Comput. Struct., 87(7), 435-443. https://doi.org/10.1016/j.compstruc.2009.01.004
  12. Li, N., Wang, W., Hsu, C., Chang, W., Chou, H. and Chang, J. (2014), "Enhanced particle swarm optimizer incorporating a weighted particle", Neurocomput., 124, 218-227. https://doi.org/10.1016/j.neucom.2013.07.005
  13. Luh, G.C. (2008), "Optimal design of truss strucutres using ant algorithm", Struct. Multidispl. Opt., 36(4), 365-379. https://doi.org/10.1007/s00158-007-0175-6
  14. Miguel, L.F.F. and Miguel, L.F.F. (2012), "Shape and size optimization of truss structures considering dynamic constraints through modern metaheuristic algorithms", Exp. Syst. Appl., 39(10), 9458-9467. https://doi.org/10.1016/j.eswa.2012.02.113
  15. Miguel, L.F.F., Rafael, H.L. and Letícia, F.F.M. (2013), "Multimodal size, shape, and topology optimization of truss structures using the firefly algorithm", Adv. Eng. Softw., 56, 23-37. https://doi.org/10.1016/j.advengsoft.2012.11.006
  16. Mortazavi, A. and Togan, V. (2016), "Simultaneous size, shape, and topology optimization of truss structures using integrated particle swarm optimizer", Struct. Multidiscipl. Optim., 54(4), 715-736. https://doi.org/10.1007/s00158-016-1449-7
  17. Nabil, E. (2016), "A modified flower pollination algorithm for global optimization", Exp. Syst. Appl., 57, 192-203. https://doi.org/10.1016/j.eswa.2016.03.047
  18. Ohsaki, M. (1995), "Genetic algorithm for topology optimization of trusses", Comput. Struct., 57(2), 219-225. https://doi.org/10.1016/0045-7949(94)00617-C
  19. Ohsaki, M. (1998), "Simultaneous optimization of topology and geometry of a regular plane truss", Comput. Struct., 66(1), 69-77. https://doi.org/10.1016/S0045-7949(97)00050-3
  20. Sadollah, A., Bahreininejad, A., Eskandar, H. and Hamdi, M. (2012), "Mine blast algorithm for optimization of truss structures with discrete variables", Comput. Struct., 102, 49-63.
  21. Silih, S., Kravanja, S. and Premrov, M. (2010), "Shape and discrete sizing optimization of timber trusses by considering of joint flexibility", Adv. Eng. Softw., 41(2), 286-294. https://doi.org/10.1016/j.advengsoft.2009.07.002
  22. Sonmez, M. (2011), "Artificial bee colony algorithm for optimization of truss structures", Appl. Soft Comput., 11(2), 2406-2418. https://doi.org/10.1016/j.asoc.2010.09.003
  23. Tang, W., Tong, L. and Gu, Y. (2005), "Improved genetic algorithm for design optimization of truss structures with sizing, shape and topology variables", J. Numer. Meth. Eng., 62(13), 1737-1762. https://doi.org/10.1002/nme.1244
  24. Togan, V. (2012), "Design of planar steel frames using teaching-learning based optimization", Eng. Struct., 34, 225-232. https://doi.org/10.1016/j.engstruct.2011.08.035
  25. Togan, V. (2013), "Design of pin jointed structures using teaching-learning based optimization", Struct. Eng. Mech., 47(2), 209-225. https://doi.org/10.12989/sem.2013.47.2.209
  26. Torii, A.J., Lopez, R.H. and Luersen, M. (2011), "A local-restart coupled strategy for simultaneous sizing and geometry truss optimization", Lat. Am. J. Sol. Struct., 8(3), 335-349. https://doi.org/10.1590/S1679-78252011000300008
  27. Van Den Bergh, F. and Engelbrecht, A. (2003), "Using neighborhood with the guaranteed convergence PSO", Proceeding of the IEEE Swarm Intelligence Symposium, U.S.A.
  28. Zheng, Y.J. (2015), "Water wave optimization: A new nature-inspired metaheuristic", Comput. Oper. Res., 55, 1-11. https://doi.org/10.1016/j.cor.2014.10.008