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Optimum topology design of geometrically nonlinear suspended domes using ECBO

  • Kaveh, A. (Centre of Excellence for Fundamental Studies in Structural Engineering, Iran University of Science and Technology) ;
  • Rezaei, M. (Road, Building and Housing Research Center)
  • Received : 2015.09.20
  • Accepted : 2015.11.06
  • Published : 2015.11.25

Abstract

The suspended dome system is a new structural form that has become popular in the construction of long-span roof structures. Suspended dome is a kind of new pre-stressed space grid structure that has complex mechanical characteristics. In this paper, an optimum topology design algorithm is performed using the enhanced colliding bodies optimization (ECBO) method. The length of the strut, the cable initial strain, the cross-sectional area of the cables and the cross-sectional size of steel elements are adopted as design variables and the minimum volume of each dome is taken as the objective function. The topology optimization on lamella dome is performed by considering the type of the joint connections to determine the optimum number of rings, the optimum number of joints in each ring, the optimum height of crown and tubular sections of these domes. A simple procedure is provided to determine the configuration of the dome. This procedure includes calculating the joint coordinates and steel elements and cables constructions. The design constraints are implemented according to the provision of LRFD-AISC (Load and Resistance Factor Design-American Institute of Steel Constitution). This paper explores the efficiency of lamella dome with pin-joint and rigid-joint connections and compares them to investigate the performance of these domes under wind (according to the ASCE 7-05), dead and snow loading conditions. Then, a suspended dome with pin-joint single-layer reticulated shell and a suspended dome with rigid-joint single-layer reticulated shell are discussed. Optimization is performed via ECBO algorithm to demonstrate the effectiveness and robustness of the ECBO in creating optimal design for suspended domes.

Keywords

Acknowledgement

Supported by : Iran National Science Foundation

References

  1. American Institute of Steel Construction (AISC) (1989), Manual of steel construction allowable stress design, 9th Edition, AISC, Chicago.
  2. American National Standards Institute (ANSI) (1980), Minimum design loads for buildings and other structures (ANSI A58.1).
  3. American Society of Civil Engineers (ASCE) (2006), Minimum design loads for buildings and other structures (ASCE-SEI 7-05).
  4. Chen, Z., He, Y., Wang, Z., Liu, H. and Wang, X. (2015), "Integral analysis of shallow ellipsoidal suspenddome with elastic restraint", Int. J. Space Struct., 30(1), 37-52. https://doi.org/10.1260/0266-3511.30.1.37
  5. Dorigo, M., Maniezzo, V. and Colorni, A. (1996), "The ant system: optimization by a colony of cooperating agents", IEEE Tran. Syst. Man. Cyber. B, 26(1), 29-41. https://doi.org/10.1109/3477.484436
  6. Eberhart, R.C. and Kennedy, J. (1995), "A new optimizer using particle swarm theory", Proceedings of the Sixth International Symposium on Micro Machine and Human Science, Nagoya, Japan.
  7. Erol, O.K. and Eksin, I. (2006), "New optimization method: Big Bang-Big Crunch", Adv. Eng. Softw., 37, 106-11. https://doi.org/10.1016/j.advengsoft.2005.04.005
  8. Fogel, L.J., Owens A.J. and Walsh, M.J. (1996), Artificial intelligence through simulated evolution, Wiley, Chichester.
  9. Goncalves, M.S., Lopez, R.H. and Miguel, L.F.F. (2015), "Search group algorithm: a new metaheuristic method for the optimization of truss structures", Comput. Struct., 153, 165-184. https://doi.org/10.1016/j.compstruc.2015.03.003
  10. Holland, J.H. (1975), Adaptation in natural and artificial systems, University of Michigan Press, Ann Arbor, USA.
  11. Kamyab, R. and Salajegheh, E. (2013), "Size optimization of nonlinear scallop domes by an enhanced particle swarm algorithm)", Int. J. Civil Eng., 11(2), 77-89.
  12. Kaveh, A. (2014), Advances in metaheuristic algorithms for optimal design of structures, Springer Verlag, Switzerland.
  13. Kaveh, A. and Forhoudi, N. (2013), "A new optimization method: dolphin echolocation)", Adv. Eng. Softw., 59, 53-70. https://doi.org/10.1016/j.advengsoft.2013.03.004
  14. Kaveh, A. and Ilchi Ghazaan, M. (2014), "Enhanced colliding bodies optimization for design problems with continuous and discrete variables", Adv. Eng. Softw., 77, 66-75. https://doi.org/10.1016/j.advengsoft.2014.08.003
  15. Kaveh, A. and Khayatazad, M. (2012), "A novel meta-heuristic method: ray optimization", Comput. Struct., 112-113, 283-294. https://doi.org/10.1016/j.compstruc.2012.09.003
  16. Kaveh, A. and Mahdavai, V.R. (2014), "Colliding bodies optimization: a novel meta-heuristic method", Comput. Struct., 39, 18-27.
  17. Kaveh, A. and Mahdavai, V.R. (2015a), Colliding bodies optimization; extensions and applications, Springer Verlag, Switzerland.
  18. Kaveh, A. and Mahdavi, V.R. (2015b), "Colliding bodies optimization for size and topology optimization of truss structures", Struct. Eng. Mech., 53(5), 847-865. https://doi.org/10.12989/sem.2015.53.5.847
  19. Kaveh, A. and Rezaei, M. (2015), "Topology and geometry optimization of different types of domes using ECBO", Adv. Comput. Des. (in Press)
  20. Kaveh, A. and Talatahari, S. (2010a), "A novel heuristic optimization method: charged system search", Acta Mech., 213, 267-89. https://doi.org/10.1007/s00707-009-0270-4
  21. Kaveh, A. and Talatahari, S. (2010b), "Optimal design of Schwedler and ribbed domes via hybrid Big Bang-Big Crunch algorithm", J. Constr. Steel Res., 66, 412-419. https://doi.org/10.1016/j.jcsr.2009.10.013
  22. Kaveh, A. and Talatahari, S. (2010c), "Optimal design of single layer domes using meta-heuristic algorithms; a Comparative study", Int. J. Space Struct., 25(4), 217-227. https://doi.org/10.1260/0266-3511.25.4.217
  23. Kaveh, A. and Talatahari, S. (2011), "Geometry and topology optimization of geodesic domes using charged system search", Struct. Multidiscip. Optim., 43(2), 215-229. https://doi.org/10.1007/s00158-010-0566-y
  24. Kawaguchi, M., Abe, M., Hatato, T., Tatemichi, I., Fujiwara, S. and Anma, Y. (1997), "Structural tests on a full-size suspended dome re", Proceedings of IASS International Symposium on Shell and Spatial Structure, Singapore, 1, 431-438.
  25. Kawaguchi, M., Abe, M. and Tatemichi, I. (1999), "Design, tests and realization of suspended dome system", J. Int. Asso. Shell Spatial Struct., 40(3), 179-192.
  26. Kociecki, M. and Adeli, H. (2013), "Two-phase genetic algorithm for size optimization of free-form steel space frame roof structures", J. Construct. Steel Res., 90, 283-296. https://doi.org/10.1016/j.jcsr.2013.07.027
  27. Mirjalili, S. (2015), "The ant lion optimizer", Adv. Eng. Softw., 83, 80-98. https://doi.org/10.1016/j.advengsoft.2015.01.010
  28. Nie, G.B., Fan, F. and Zhi, X.D. (2013), "Test on the suspended dome structure and joints of dalian gymnasium", Adv. Struct. Eng., 16(3), 467-486. https://doi.org/10.1260/1369-4332.16.3.467
  29. Sadollah, A., Eskandar, H., Bahreininejad, A. and Kim, J.H. (2015), "Water cycle, mine blast and improved mine blast algorithms for discrete sizing optimization of truss structures", Comput. Struct., 149, 1-16. https://doi.org/10.1016/j.compstruc.2014.12.003
  30. Saka, M.P. (2007), "Optimum geometry design of geodesic domes using harmony search algorithm", Adv. Struct. Eng., 10(6), 595-606. https://doi.org/10.1260/136943307783571445
  31. Saka, M.P. and Geem, Z.W. (2013), "Mathematical and met heuristic applications in design optimization of steel frame structures: an extensive review", Math. Prob. Eng., Article ID 271031.
  32. Wang, Z., Wang, X., Chen, Z. et al. (2015), "Suspend-dome structure design and analysis for steel roof of bicycle gymnasium in Tianjin Sports Center", Build. Struct., 45(5), 6-9.
  33. Yan, X., Yu, J., Ma, S. et al. (2015), "Analysis and design of suspendome structure roof of Qinyang Gymnasium", Build. Struct., 45(3), 6-9.
  34. Zhengrong, J., Wang, S.., Shi, K. et al. (2013), "Nonlinear buckling analysis of long-span elliptic paraboloid suspended dome structure for Houjie Gymnasium", Chin. Civil Eng. J., 45(2), 21-28.

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