Structural Engineering and Mechanics

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Reliability-based design optimization of structural systems using a hybrid genetic algorithm

  • Abbasnia, Reza (School of Civil Engineering, Iran University of Science and Technology) ;
  • Shayanfar, Mohsenali (School of Civil Engineering, Iran University of Science and Technology) ;
  • Khodam, Ali (School of Civil Engineering, Iran University of Science and Technology)
  • Received : 2014.02.16
  • Accepted : 2014.06.10
  • Published : 2014.12.25
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Abstract

In this paper, reliability-based design optimization (RBDO) of structures is addressed. For this purpose, the global search and optimization capabilities of genetic algorithm (GA) are combined with the efficiency and reasonable accuracy of an advanced moment-based finite element reliability method. For performing RBDO, three variants of GA including a real-coded, a binary-coded and an improved binary-coded GA are developed. In these methods, GA performs (finite element) reliability analyses to evaluate reliability constraints. For truss structures which include finite element modeling, reliability constraints are evaluated using finite element reliability analysis. Response sensitivity required for finite element reliability analysis is obtained by direct differentiation method (DDM) rather than finite difference method (FDM). The proposed methods are examined within four standard test examples and real-world design problems. The results illustrate the superiority and efficiency of the improved binary-coded GA. Results also illustrate that DDM significantly reduces the computational cost and improves the efficiency of the optimization procedure.

Keywords

References

  1. Agarwal, H., Mozumder, C.K., Renaud, J.E. and Watson, L.T. (2007), "An inverse-measure-based unilevel architecture for reliability-based design optimization", Struct. Multidisc. Optim., 33(3), 217-227. https://doi.org/10.1007/s00158-006-0057-3
  2. Aoues, Y. and Chateauneuf, A. (2010), "Benchmark study of numerical methods for reliability-based design optimization", Struct. Multidisc. Optim., 41(2), 277-294. https://doi.org/10.1007/s00158-009-0412-2
  3. Basaga, H.B., Bayraktar, A. and Kaymaz, I. (2012), "An improved response surface method for reliability analysis of structures", Struct. Eng. Mech., 42(2), 175-189. https://doi.org/10.12989/sem.2012.42.2.175
  4. Chen, Z., Qiu, H., Gao, L., Su, L. and Li, P. (2013), "An adaptive decoupling approach for reliability-based design optimization", Comput. Struct., 117, 58-66. https://doi.org/10.1016/j.compstruc.2012.12.001
  5. Cho, T.M. and Lee, B.C. (2011), "Reliability-based design optimization using convex linearization and sequential optimization and reliability assessment method", Struct. Saf., 33(1), 42-50. https://doi.org/10.1016/j.strusafe.2010.05.003
  6. Der Kiureghian, A. and Liu, P.L. (1986), "Structural reliability under incomplete probability information", J. Eng. Mech., 112(1), 85-104. https://doi.org/10.1061/(ASCE)0733-9399(1986)112:1(85)
  7. Der Kiureghian, A. and Polak, E. (1998), "Reliability-based optimal design: a decoupled approach", Ed. A.S. Nowak, Reliability Optimization of Structural Systems, Chelsea, Michigan.
  8. Dimou, C. and Koumousis, V. (2003), "Competitive genetic algorithms with application to reliability optimal design", Adv. Eng. Softw., 34, 773-785. https://doi.org/10.1016/S0965-9978(03)00101-7
  9. Enevoldsen, I. and Sorensen, J.D. (1994), "Reliability-based optimization in structural engineering", Struct. Saf., 15(3), 169-196. https://doi.org/10.1016/0167-4730(94)90039-6
  10. Haukaas, T. and Der Kiureghian, A. (2007), "Methods and object-oriented software for FE reliability and sensitivity analysis with application to a bridge structure", J. Comput. Civ. Eng., 21(3), 151-163. https://doi.org/10.1061/(ASCE)0887-3801(2007)21:3(151)
  11. Jiang, S.H., Li, D.Q., Zhou, C.B. and Zhang, L.M. (2014), "Capabilities of stochastic response surface method and response surface method in reliability analysis", Struct. Eng. Mech., 49(1), 111-128. https://doi.org/10.12989/sem.2014.49.1.111
  12. Kaveh, A., Sheikholeslami, R., Talatahari, S. and Keshvari-Ilkhichi, M. (2014), "Chaotic swarming of particles: A new method for size optimization of truss structures", Adv. Eng. Softw., 67, 136-147. https://doi.org/10.1016/j.advengsoft.2013.09.006
  13. Koduru, S.D. and Haukaas, T. (2010), "Feasibility of FORM in finite element reliability analysis", Struct. Saf., 32, 145-153. https://doi.org/10.1016/j.strusafe.2009.10.001
  14. Kleiber, M., Antunez, H., Hien, T.D. and Kowalczyk, P. (1997), Parameter sensitivity in nonlinear mechanics, John Wiley & Sons, Chichester, England.
  15. Lee, J.J. and Lee, B.C. (2005), "Efficient evaluation of probabilistic constraints using an envelope function", Eng. Optim., 37 (2), 185-200. https://doi.org/10.1080/03052150512331315505
  16. Luo, X. and Grandhi, R.V. (1997), "Astros for reliability-based multidisciplinary structural analysis and optimization", Comput. Struct., 62, 737-745. https://doi.org/10.1016/S0045-7949(96)00234-9
  17. Rahman, S. and Wei, D. (2008), "Design sensitivity and reliability-based structural optimization by univariate decomposition", Struct. Multidisc. Optim., 35, 245-261. https://doi.org/10.1007/s00158-007-0133-3
  18. Royset, J.O., Der Kiureghian, A. and Polak, E. (2001), "Reliability-based optimal structural design by the decoupling approach", Reliab. Eng. Syst. Saf., 73(3), 213-221. https://doi.org/10.1016/S0951-8320(01)00048-5
  19. Royset, J.O., Der Kiureghian, A. and Polak, E. (2006), "Optimal design with probabilistic objective and constraints", J. Eng. Mech., 132(1), 107-118. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:1(107)
  20. Schueller, G.I. (2009), "Efficient Monte Carlo simulation procedures in structural uncertainty and reliability analysis-recent advances", Struct. Eng. Mech., 32(1), 1-20. https://doi.org/10.12989/sem.2009.32.1.001
  21. Shayanfar, M., Abbasnia, R. and Khodam, A. (2013), "Reliability-based design optimization of structures using GA and SORM", Proceedings of the 11th International Conference on Structural Safety and Reliability (ICOSSAR 2013), Columbia University, New York, June.
  22. Togan, V., Daloglu, A.T. and Karadeniz, H. (2011), "Optimization of trusses under uncertainties with harmony search", Struct. Eng. Mech., 37(5), 543-560. https://doi.org/10.12989/sem.2011.37.5.543
  23. Tu, J., Choi, K.K. and Park, Y.H. (1999), "A new study on reliability-based design optimization", J. Mech. Des., 121(4), 557-564. https://doi.org/10.1115/1.2829499
  24. Valdebenito, M.A. and Schueller, G.I. (2010), "A survey on approaches for reliability-based optimization", Struct. Multidisc. Optim., 42(5), 645-663. https://doi.org/10.1007/s00158-010-0518-6

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