DOI QR코드

DOI QR Code

An efficient method for reliable optimum design of trusses

  • Received : 2016.04.18
  • Accepted : 2016.07.23
  • Published : 2016.08.10

Abstract

This paper introduces a new and effective design amplification factor-based approach for reliable optimum design of trusses. This paper may be categorized as in the family of decoupled methods that aiming for a reliable optimum design based on a Design Amplification Factor (DAF). To reduce the computational expenses of reliability analysis, an improved version of Response Surface Method (RSM) was used. Having applied this approach to two planar and one spatial truss problems, it exhibited a satisfactory performance.

Keywords

References

  1. Adeli, H. and Kumar, S. (1995), "Distributed genetic algorithm for structural optimization", J. Aerosp. Eng., 8(3), 156-163. https://doi.org/10.1061/(ASCE)0893-1321(1995)8:3(156)
  2. Basaga, H.B., Bayraktar, A. and Kaymaz, I. (2012), "An improved response surface method for reliability analysis of structures", Struct. Eng. Mech., Int. J., 42(2), 175-89. https://doi.org/10.12989/sem.2012.42.2.175
  3. Belegundu, A.D. and Chandrupatla, T.R. (2011), Optimization Concepts and Applications in Engineering, (2nd Edition), Cambridge University Press, Cambridge, UK.
  4. Bucher, C.G. and Bourgund, U. (1990), "A fast and efficient response surface approach for structural reliability problems", Struct. Safety, 7(1), 57-66. https://doi.org/10.1016/0167-4730(90)90012-E
  5. 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
  6. Dede, T., Bekirolu, S. and Ayvaz, Y. (2011), "Weight minimization of trusses with genetic algorithm", Appl. Soft Comput., 11(2), 2565-2575. https://doi.org/10.1016/j.asoc.2010.10.006
  7. Dizangian, B. and Ghasemi, M.R. (2015a), "A fast decoupled reliability-based design optimization of structures using B-spline interpolation curves", J. Brazil. Soc. Mech. Sci. Eng., 38(6), 1817-1829.
  8. Dizangian, B. and Ghasemi, M.R. (2015b), "Ranked-based sensitivity analysis for size optimization of structures", J. Mech. Des., 137(12), 121402-121402. https://doi.org/10.1115/1.4031295
  9. Dizangian, B. and Ghasemi, M.R. (2015c), "A fast marginal feasibility search method in size optimization of truss structures", Asian J. Civil Eng. (BHRC), 16(5), 567-585.
  10. Du, X. and Chen, W. (2004), "Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design", J. Mech. Des., 126(2), 225-233. https://doi.org/10.1115/1.1649968
  11. Ghorbani, A. and Ghasemi, M.R. (2011), "Reliability analysis of frame structures using radial basis function neural networks", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 225(1), 163-170. https://doi.org/10.1177/09544062JMES2047
  12. Goswami, S., Ghosh, S. and Chakraborty, S. (2016), "Reliability analysis of structures by iterative improved response surface method", Struct. Safety, 60, 56-66. https://doi.org/10.1016/j.strusafe.2016.02.002
  13. Guan, X.L. and Melchers, R.E. (2001), "Effect of response surface parameter variation on structural reliability estimates", Struct. Safety, 23(4), 429-444. https://doi.org/10.1016/S0167-4730(02)00013-9
  14. Ho-Huu, V., Nguyen-Thoi, T., Le-Anh L. and Nguyen-Trang, T. (2016), "An effective reliability-based improved constrained differential evolution for reliability-based design optimization of truss structures", Adv. Eng. Software, 92, 48-56. https://doi.org/10.1016/j.advengsoft.2015.11.001
  15. Kang, S.-C., Koh, H.-M. and Choo, J.F. (2010), "An efficient response surface method using moving least squares approximation for structural reliability analysis", Probab. Eng. Mech., 25(4), 365-371. https://doi.org/10.1016/j.probengmech.2010.04.002
  16. Kaveh, A. and Bakhshpoori, T. (2015), "Subspace search mechanism and cuckoo search algorithm for size optimization of space trusses", Steel Compos. Struct., Int. J., 18(2), 289-303. https://doi.org/10.12989/scs.2015.18.2.289
  17. Kaveh, A. and Shojaee, S. (2007), "Optimal design of skeletal structures using ant colony optimization", Int. J. Numer. Method. Eng., 70, 563-581. DOI: 10.1002/nme.1898
  18. Kaymaz, I. and Mcmahon, C.A. (2005), "A response surface method based on weighted regression for structural reliability analysis", Probab. Eng. Mech., 20(1), 11-17. https://doi.org/10.1016/j.probengmech.2004.05.005
  19. Kharmanda, G., Mohamed, A. and Lemaire, M. (2002), "Efficient reliability-based design optimization using a hybrid space with application to finite element analysis", Struct. Multidiscipl. Optimiz., 24(3), 233-245. https://doi.org/10.1007/s00158-002-0233-z
  20. Kirjner-Neto, C., Polak, E. and Kiureghian, A.D. (1998), "An Outer Approximations Approach to Reliability-Based Optimal Design of Structures", J. Optimiz. Theory Appl., 98(1), 1-16. https://doi.org/10.1023/A:1022647728419
  21. Kuschel, N. and Rackwitz, R. (1997), "Two basic problems in reliability-based structural optimization", Math. Method. Operat. Res., 46(3), 309-333. https://doi.org/10.1007/BF01194859
  22. Lee, K.S. and Geem, Z.W. (2004), "A new structural optimization method based on the harmony search algorithm", Comput. Struct., 82(9), 781-798. https://doi.org/10.1016/j.compstruc.2004.01.002
  23. Lu, Z.-Z., Zhao, J. and Yue Z.-F. (2007), "Advanced response surface method for mechanical reliability analysis", Appl. Math. Mech., 28(1), 19-26. https://doi.org/10.1007/s10483-007-0103-x
  24. Lu, Zh.-H., Zhao, Y.-G., Yu, Zh.-W. and Chen, Ch. (2015), "Reliability-based assessment of American and European specifications for square CFT stub columns", Steel Compos. Struct., Int. J., 19(4), 811-827. https://doi.org/10.12989/scs.2015.19.4.811
  25. Mansour, R. and Olsson, M. (2016), "Response surface single loop reliability-based design optimization with higher-order reliability assessment", Struct. Multidiscipl. Optimiz., 54(1), 63-79. https://doi.org/10.1007/s00158-015-1386-x
  26. Roussouly, N., Petitjean, F. and Salaun, M. (2013), "A new adaptive response surface method for reliability analysis", Probab. Eng. Mech., 32, 103-115. https://doi.org/10.1016/j.probengmech.2012.10.001
  27. Royset, J.O., Der Kiureghian, A. and Polak, E. (2001), "Reliability-based optimal structural design by the decoupling approach", Reliab. Eng. Syst. Safety, 73(3), 213-221. https://doi.org/10.1016/S0951-8320(01)00048-5
  28. Shan, S. and Wang, G.G. (2008), "Reliable design space and complete single-loop reliability-based design optimization", Reliab. Eng. Syst. Safety, 93(8), 1218-1230. https://doi.org/10.1016/j.ress.2007.07.006
  29. Shu, S-x. and Gong, W-h. (2016), "An artificial neural network-based response surface method for reliability analyses of c-${\varphi}$ slopes with spatially variable soil", China Ocean Eng., 30(1), 113-122. https://doi.org/10.1007/s13344-016-0006-x
  30. Togan, V. and Daloglu, A. (2008), "An improved genetic algorithm with initial population strategy and selfadaptive member groupings", Comput. Struct., 86(11-12), 1204-1218. https://doi.org/10.1016/j.compstruc.2007.11.006
  31. Zhao, W., Liu, W. and Yang, Q. (2016), "An improvement of the response surface method based on reference points for structural reliability analysis", KSCE J. Civil Eng., 1-8. DOI: 10.1007/s12205-016-1312-9.
  32. Zhao, W. and Qiu, Z. (2013), "An efficient response surface method and its application to structural reliability and reliability-based optimization", Finite Elem. Anal. Des., 67, 34-42. https://doi.org/10.1016/j.finel.2012.12.004
  33. Zhou, W. and Hong, H. P. (2004), "System and member reliability of steel frames", Steel and Composite Structures, An Int'l Journal, 4(6), 419-435. https://doi.org/10.12989/scs.2004.4.6.419

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