Browse > Article
http://dx.doi.org/10.12989/scs.2016.21.5.1069

An efficient method for reliable optimum design of trusses  

Dizangian, Babak (Department of Civil Engineering, Velayat University)
Ghasemi, Mohammad Reza (Department of Civil Engineering, University of Sistan and Baluchestan)
Publication Information
Steel and Composite Structures / v.21, no.5, 2016 , pp. 1069-1084 More about this Journal
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
design amplification factor; reliable; optimum; trusses;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
연도 인용수 순위
1 Adeli, H. and Kumar, S. (1995), "Distributed genetic algorithm for structural optimization", J. Aerosp. Eng., 8(3), 156-163.   DOI
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.   DOI
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.   DOI
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.   DOI
6 Dede, T., Bekirolu, S. and Ayvaz, Y. (2011), "Weight minimization of trusses with genetic algorithm", Appl. Soft Comput., 11(2), 2565-2575.   DOI
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.   DOI
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.   DOI
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.   DOI
12 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.   DOI
13 Goswami, S., Ghosh, S. and Chakraborty, S. (2016), "Reliability analysis of structures by iterative improved response surface method", Struct. Safety, 60, 56-66.   DOI
14 Guan, X.L. and Melchers, R.E. (2001), "Effect of response surface parameter variation on structural reliability estimates", Struct. Safety, 23(4), 429-444.   DOI
15 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.   DOI
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.   DOI
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   DOI
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.   DOI
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.   DOI
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.   DOI
21 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.   DOI
22 Kuschel, N. and Rackwitz, R. (1997), "Two basic problems in reliability-based structural optimization", Math. Method. Operat. Res., 46(3), 309-333.   DOI
23 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.   DOI
24 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.   DOI
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.   DOI
26 Roussouly, N., Petitjean, F. and Salaun, M. (2013), "A new adaptive response surface method for reliability analysis", Probab. Eng. Mech., 32, 103-115.   DOI
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.   DOI
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.   DOI
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.   DOI
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.   DOI
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.   DOI
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.   DOI
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.   DOI