DOI QR코드

DOI QR Code

Continuous size optimization of large-scale dome structures with dynamic constraints

  • Dede, Tayfun (Karadeniz Technical University, Department of Civil Engineering) ;
  • Grzywinski, Maksym (Czestochowa University of Technology, Faculty of Civil Engineering) ;
  • Selejdak, Jacek (Czestochowa University of Technology, Faculty of Civil Engineering)
  • 투고 : 2018.06.12
  • 심사 : 2019.08.27
  • 발행 : 2020.02.25

초록

In this study size optimization of large-scale dome structures with dynamic constraints is presented. In the optimal design of these structure, the Jaya algorithm is used to find minimal size of design variables. The design variables are the cross-sectional areas of the steel truss bar elements. To take into account the constraints which are the first five natural frequencies of the structures, the finite element analysis is coded in Matlab programs using eigen values of the stiffness matrix of the dome structures. The Jaya algorithm and the finite elements codes are combined by the help of the Matlab - GUI (Graphical User Interface) programming to carry out the optimization process for the dome structures. To show the efficiency and the advances of the Jaya algorithm, 1180 bar dome structure and the 1410 bar dome structure were tested by taking into the frequency constraints. The optimal results obtained by the proposed algorithm are compared with those given in the literature to demonstrate the performance of the Jaya algorithm. At the end of the study, it is concluded that the proposed algorithm can be effectively used in the optimal design of large-scale dome structures.

키워드

참고문헌

  1. Artar, M. (2016), "Optimum design of steel space frames under earthquake effect using harmony search", Struct. Eng. Mech., 58(3), 597-612. https://doi.org/10.12989/sem.2016.58.3.597.
  2. Artar, M. and Daloglu, (2015), Optimum design of steel frames with semi rigid connections and composite beams", Struct. Eng. Mech., 55(2), 299-313. https://doi.org/10.12989/sem.2015.55.2.299.
  3. Artar, M., Catar, R. and Daloglu, A. (2017), "Optimum design of steel bridges including corrosion effect using TLBO", Struct. Eng. Mech., 63(5), 607-615. https://doi.org/10.12989/sem.2017.63.5.607.
  4. Artar, M. and Daloglu, (2019), Optimum design of steel space truss tower under seismic effect using Jaya algorithm", Struct. Eng. Mech., 71(1), 1-12. https://doi.org/10.12989/sem.2019.71.1.001.
  5. Baghlani, A. and Makiabadi, M.H. (2013), "Teaching-learning-based optimization algorithm for shape and size optimization of truss structures with dynamic frequency constraints", Iran J. Sci., 37, 409-421. https://doi.org/10.22099/IJSTC.2013.1796.
  6. Bellagamba, L. and Yang, T. (1981), "Minimum-mass truss structures with constraints on fundamental natural frequency", AIAA J., 19(11), 1452-1458. https://doi.org/10.2514/3.7875.
  7. 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.2018.26.2.163.
  8. Dede, T. and Togan, V. (2015), "A teaching learning based optimization for truss structures with frequency constraints", Struct. Eng. Mech., 53(4), 833-845. https://doi.org/10.12989/sem.2015.53.4.833.
  9. Eirgash, M. A., Togan, V. and Dede, T. (2019), "A multi-objective decision making model based on TLBO for the time - cost trade-off problems", Struct. Eng. Mech. 71(2), 139-151. https://doi.org/10.12989/sem.2019.71.2.139.
  10. Gomes, H.M. (2011), "Truss optimization with dynamic constraints using a particle swam algorithm", Expert Syst. Appl., 38, 957-968. https://doi.org/10.1016/j.eswa.2010.07.086.
  11. 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.
  12. Kaveh, A., Bakhshpoori, T. and Barkhori, M. (2014), "Optimum design of multi-span composite box girder bridges using Cuckoo Search algorithm", Steel Compos. Struct., 17(5),705-719. https://doi.org/10.12989/scs.2014.17.5.705
  13. Kaveh, A. and Shokohi, F. (2015), "Optimum design of laterally-supported castellated beams using CBO algorithm", Steel Compos. Struct., 18(2), 305-324. https://doi.org/10.12989/scs.2015.18.2.305.
  14. Kaveh, A. and Ghazaan, M.I. (2016), "Optimal design of dome truss structures with dynamic frequency constraints", Struct. Multidisc. Optim., 53(3), 605-621. https://doi.org/10.1007/s00158-015-1357-2.
  15. Kaveh, A. and Ghazaan, M.I. (2017), "Vibrating particles system algorithm for truss optimization with multiple natural frequency constraints", Acta Mechanica, 228, 307-322. https://doi.org/10.1007/s00707-016-1725-z.
  16. Kaveh, A. and Ghazaan, M.I. (2018), "A new hybrid meta-heuristic algorithm for optimal design of large-scale dome structures", Eng. Optimization, 50(2), 235-252. https://doi.org/10.1080/0305215X.2017.1313250.
  17. Kaveh, A. and Javadi, S.M. (2014), "Shape and size optimization of trusses with multiple frequency constraints using harmony earch and ray optimizer for enhancing the particle swarm optimization algorithm", Acta Mech., 225(6), 1595-1605. https://doi.org/10.1007/s00707-013-1006-z
  18. Kaveh, A. and Rezaie, M. (2015), "Topology and geometry optimization of different types of domes using ECBO", Adv. Comput. Design, 1(1), 1-25. https://doi.org/10.12989/acd.2016.1.1.001
  19. Kaveh, A. and Zolghadr, A. (2018), "Meta-heuristic methods for optimization of truss structures with vibration frequency constraints, A review", Rev. Prespect. Mech., Acta Mech., 229(10), 3971-3992. https://doi.org/10.1007/s00707-018-2234-z.
  20. Kaveh, A. and Talatahari, S. (2011), "Geometry and topology optimization of geodesic domes using charged system search", Structural Multidisplinary Optimization, 2(43), 215-229. https://doi.org/10.1007/s00158-010-0566-y
  21. Lin, J.H., Chen, W.Y. and Yu, Y.S. (1982), "Structural optimization on geometrical and element sizing with static and dynamic constraints", Comp. Struct., 15, 507-515. https://doi.org/10.1016/0045-7949(82)90002-5.
  22. Miguel, L.F.F. and Miguel, L.F.F. (2012), "Shape and size optimization of truss structures considering dynamic constraints through modern metaheuristic algorithms", Expert Syst. Appl., 39(10), 9458-9467. https://doi.org/10.1016/j.eswa.2012.02.113
  23. Phan, D.T., Lim, J.B.P., Tanyimboh, T.T. and Sha, W. (2013), "An efficient genetic algorithm for the design optimization of cold-formed steel portal frame buildings", Steel Compos. Struct., 15(3), 519-538. https://doi.org/10.12989/scs.2013.15.5.519.
  24. 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
  25. Rao, R.V. (2018), Jaya: An Advanced Optimization Algorithm and its Engineering Applications, Springer, Germany. https://doi.org/10.1007/978-3-319-78922-4

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