메뉴 건너뛰기




Volumn 41, Issue 2, 2010, Pages 277-294

Benchmark study of numerical methods for reliability-based design optimization

Author keywords

Numerical efficiency; Optimization; Performance measure; Reliability; Reliability index

Indexed keywords

BENCHMARK STUDY; COMPARATIVE STUDIES; FINITE ELEMENT MODELS; NUMERICAL EFFICIENCY; NUMERICAL EXAMPLE; PERFORMANCE MEASURE; RELIABILITY INDEX; RELIABILITY-BASED DESIGN OPTIMIZATION; SINGLE LOOP; SYSTEM UNCERTAINTIES; TWO-LEVEL APPROACH;

EID: 77649340014     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-009-0412-2     Document Type: Article
Times cited : (407)

References (35)
  • 1
    • 34248393897 scopus 로고    scopus 로고
    • An adaptive sequential linear programming algorithm for optimal design problems with probabilistic constraints
    • Chan KY, Skerlos SJ, Papalambros P (2007) An adaptive sequential linear programming algorithm for optimal design problems with probabilistic constraints. J Mech Des 129(2):140-149
    • (2007) J Mech des , vol.129 , Issue.2 , pp. 140-149
    • Chan, K.Y.1    Skerlos, S.J.2    Papalambros, P.3
  • 3
    • 33745216021 scopus 로고    scopus 로고
    • A sequential approximate programming strategy for reliability-based structural optimization
    • DOI 10.1016/j.compstruc.2006.03.006, PII S0045794906001209
    • Cheng G, Xu L, Jiang L (2006) A sequential approximate programming strategy for reliability-based structural optimization. Comput Struct 84(21):1353-1367 (Pubitemid 43912241)
    • (2006) Computers and Structures , vol.84 , Issue.21 , pp. 1353-1367
    • Cheng, G.1    Xu, L.2    Jiang, L.3
  • 4
    • 34548484572 scopus 로고    scopus 로고
    • Transforming reliability limit-state constraints into deterministic limit-state constraints
    • Ching J, Hsu WC (2008) Transforming reliability limit-state constraints into deterministic limit-state constraints. Struct Saf 30(1):11-33
    • (2008) Struct Saf , vol.30 , Issue.1 , pp. 11-33
    • Ching, J.1    Hsu, W.C.2
  • 5
    • 77649339316 scopus 로고    scopus 로고
    • Division of Structural Mechanics and Division of Solid Mechanics, version 3.4
    • Division of Structural Mechanics and Division of Solid Mechanics (2006) CALFEM: a finite element toolbox to MATLAB, version 3.4
    • (2006) CALFEM: A Finite Element Toolbox to MATLAB
  • 6
    • 4344654014 scopus 로고    scopus 로고
    • Sequential optimization and reliability assessment method for efficient probabilistic design
    • Du X, Chen W (2004) Sequential optimization and reliability assessment method for efficient probabilistic design. J Mech Des (ASME) 126(2):225-233
    • (2004) J Mech des (ASME) , vol.126 , Issue.2 , pp. 225-233
    • Du, X.1    Chen, W.2
  • 7
    • 0028497472 scopus 로고
    • Reliability-based optimization in structural engineering
    • Enevoldsen I, Sørensen JD (1994) Reliability-based optimization in structural engineering. Struct Saf 15(3):169-196
    • (1994) Struct Saf , vol.15 , Issue.3 , pp. 169-196
    • Enevoldsen, I.1    Sørensen, J.D.2
  • 8
    • 0031356624 scopus 로고    scopus 로고
    • Reliability-based optimization of structural systems
    • GasserM, Schueller GI (1997) Reliability-based optimization of structural systems. Math Methods Oper Res 46(3):287-307
    • (1997) Math Methods Oper Res , vol.46 , Issue.3 , pp. 287-307
    • Gasserm Schueller, G.I.1
  • 9
    • 0032074748 scopus 로고    scopus 로고
    • Reliability-based structural optimization using improved two point adaptive nonlinear approximations
    • Grandhi RV, Wang L (1998) Reliability-based structural optimization using improved two point adaptive nonlinear approximations. Finite Elem Anal Des 29(1):35-48
    • (1998) Finite Elem Anal des , vol.29 , Issue.1 , pp. 35-48
    • Grandhi, R.V.1    Wang, L.2
  • 10
    • 0016026184 scopus 로고
    • Exact and invariant second moment code format
    • Hasofer AM, Lind NC (1974) Exact and invariant second moment code format. J Eng Mech Div 100(1):111-121
    • (1974) J Eng Mech Div , vol.100 , Issue.1 , pp. 111-121
    • Hasofer, A.M.1    Lind, N.C.2
  • 11
    • 33947245463 scopus 로고    scopus 로고
    • Reliability-based design optimization for elastoplastic mechanical structures
    • Kaymaz I, Marti K (2007) Reliability-based design optimization for elastoplastic mechanical structures. Comput Struct 85(10): 615-625
    • (2007) Comput Struct , vol.85 , Issue.10 , pp. 615-625
    • Kaymaz, I.1    Marti, K.2
  • 12
    • 0036748663 scopus 로고    scopus 로고
    • Efficient reliabilitybased design optimization using a hybrid space with application to finite element analysis
    • Kharmanda G, Mohamed A, Lemaire M (2002) Efficient reliabilitybased design optimization using a hybrid space with application to finite element analysis. Struct Multidiscipl Optim 24(3): 233-245
    • (2002) Struct Multidiscipl Optim , vol.24 , Issue.3 , pp. 233-245
    • Kharmanda, G.1    Mohamed, A.2    Lemaire, M.3
  • 13
    • 0032387754 scopus 로고    scopus 로고
    • An outer approximation approach to reliability-based optimal design of structures
    • Kirjner-Neto C, Polak E, Der Kiureghian A (1998) An outer approximation approach to reliability-based optimal design of structures. J Optim Theory Appl 98(1):1-16
    • (1998) J Optim Theory Appl , vol.98 , Issue.1 , pp. 1-16
    • Kirjner-Neto, C.1    Polak, E.2    Der Kiureghian, A.3
  • 14
    • 0031377734 scopus 로고    scopus 로고
    • Two basic problems in reliability-based structural optimization
    • Kuschel N, Rackwitz R (1997) Two basic problems in reliability-based structural optimization. Math Methods Oper Res 46(3):309-333
    • (1997) Math Methods Oper Res , vol.46 , Issue.3 , pp. 309-333
    • Kuschel, N.1    Rackwitz, R.2
  • 15
    • 0033736490 scopus 로고    scopus 로고
    • Optimal design under time-variant reliability constraints
    • Kuschel N, Rackwitz R (2000) Optimal design under time-variant reliability constraints. Struct Saf 22(2):113-127
    • (2000) Struct Saf , vol.22 , Issue.2 , pp. 113-127
    • Kuschel, N.1    Rackwitz, R.2
  • 16
    • 0036465919 scopus 로고    scopus 로고
    • Comparative study on reliabilityindex and target performance based probabilistic structural design optimization
    • Lee JO, Yang YS, Ruy WS (1999) Comparative study on reliabilityindex and target performance based probabilistic structural design optimization. Comput Struct 80(3-4):257-269
    • (1999) Comput Struct , vol.80 , Issue.3-4 , pp. 257-269
    • Lee, J.O.1    Yang, Y.S.2    Ruy, W.S.3
  • 17
    • 0028762985 scopus 로고
    • An effective optimization procedure based on structural reliability
    • Li W, Yang L (1994) An effective optimization procedure based on structural reliability. Comput Struct 52(5):1061-1067
    • (1994) Comput Struct , vol.52 , Issue.5 , pp. 1061-1067
    • Li, W.1    Yang, L.2
  • 19
    • 38849138969 scopus 로고    scopus 로고
    • A single-loop approach for system reliability-based design optimization
    • Liang J, Mourelatos ZP, Nikolaidis E (2007) A single-loop approach for system reliability-based design optimization. J Mech Des 129(12):1215-1224
    • (2007) J Mech des , vol.129 , Issue.12 , pp. 1215-1224
    • Liang, J.1    Mourelatos, Z.P.2    Nikolaidis, E.3
  • 20
    • 0026107548 scopus 로고
    • Optimization algorithms for structural reliability
    • Liu PL, Der Kiureghian A (1991) Optimization algorithms for structural reliability. Struct Saf 9(3):161-177
    • (1991) Struct Saf , vol.9 , Issue.3 , pp. 161-177
    • Liu, P.L.1    Der Kiureghian, A.2
  • 21
    • 0002275215 scopus 로고
    • A comparison of some algorithms fo reliability-based structural optimization and sensitivity analysis
    • In: Rackwitz R, Thoft-Christensen P (eds) , Munich. Springer-Verlag, Berlin
    • Madsen HO, Friis Hansen F (1992) A comparison of some algorithms fo reliability-based structural optimization and sensitivity analysis. In: Rackwitz R, Thoft-Christensen P (eds) Proceedings of the 4th IFIPWG 7.5 conference, Munich. Springer-Verlag, Berlin, pp 443-451
    • (1992) Proceedings of the 4th IFIPWG 7.5 Conference , pp. 443-451
    • Madsen, H.O.1    Friis Hansen, F.2
  • 22
    • 77649340135 scopus 로고    scopus 로고
    • MATLAB
    • Mathworks INC. (2007) http://www.mathworks.com. MATLAB
    • (2007)
  • 23
    • 0023828670 scopus 로고
    • Reliability-based optimization: A safety index approach
    • Nikolaidis E, Burdisso R (1988) Reliability-based optimization: a safety index approach. Comput Struct 28(6):781-788
    • (1988) Comput Struct , vol.28 , Issue.6 , pp. 781-788
    • Nikolaidis, E.1    Burdisso, R.2
  • 24
    • 4043059413 scopus 로고    scopus 로고
    • Reliability-based design optimization using probabilistic sufficiency factor
    • Qu X, Haftka RT (2004) Reliability-based design optimization using probabilistic sufficiency factor. Struct Multidiscipl Optim 27(5):314-325
    • (2004) Struct Multidiscipl Optim , vol.27 , Issue.5 , pp. 314-325
    • Qu, X.1    Haftka, R.T.2
  • 25
    • 0001632485 scopus 로고
    • Reliability based structural optimization: A simplified safety index approach
    • Reddy MV, Grandhi RV, Hopkins DA (1994) Reliability based structural optimization: a simplified safety index approach. Comput Struct 53(6):1407-1418
    • (1994) Comput Struct , vol.53 , Issue.6 , pp. 1407-1418
    • Reddy, M.V.1    Grandhi, R.V.2    Hopkins, D.A.3
  • 26
    • 0035451144 scopus 로고    scopus 로고
    • Reliability-based optimal structural design by the decoupling approach
    • Royset JO, Der Kiureghian A, Polak E (2001) Reliability-based optimal structural design by the decoupling approach. Reliab Eng Syst Saf 73(3):213-221
    • (2001) Reliab Eng Syst Saf , vol.73 , Issue.3 , pp. 213-221
    • Royset, J.O.1    Der Kiureghian, A.2    Polak, E.3
  • 27
    • 40949146990 scopus 로고    scopus 로고
    • Reliable design space and complete singleloop reliability-based design optimization
    • Shan S, Wang GG (2008) Reliable design space and complete singleloop reliability-based design optimization. Reliab Eng Syst Saf 93(8):1218-1230
    • (2008) Reliab Eng Syst Saf , vol.93 , Issue.8 , pp. 1218-1230
    • Shan, S.1    Wang, G.G.2
  • 28
    • 77649336922 scopus 로고
    • An advanced reliability-based optimization method for robust design optimization method
    • In: Spanos PD, Wu YT (eds), Springer, New-York
    • Torng TY, Yang RJ (1993) An advanced reliability-based optimization method for robust design optimization method. In: Spanos PD, Wu YT (eds) Probabilistic structural mechanics: advances in structural reliability methods. Springer, New-York, pp 534-549
    • (1993) Probabilistic Structural Mechanics: Advances in Structural Reliability Methods , pp. 534-549
    • Torng, T.Y.1    Yang, R.J.2
  • 29
    • 32944468866 scopus 로고    scopus 로고
    • A direct decoupling approach for efficient reliability-based design optimization
    • Zou T, Mahadevan S (2006) A direct decoupling approach for efficient reliability-based design optimization. Struct Multidiscipl Optim 31(3):190-200
    • (2006) Struct Multidiscipl Optim , vol.31 , Issue.3 , pp. 190-200
    • Zou, T.1    Mahadevan, S.2
  • 30
    • 0033296449 scopus 로고    scopus 로고
    • A new study on reliability-based design optimization
    • Tu J, Choi KK (1999) A new study on reliability-based design optimization. J Mech Des (ASME) 121(4):557-564
    • (1999) J Mech des (ASME) , vol.121 , Issue.4 , pp. 557-564
    • Tu, J.1    Choi, K.K.2
  • 31
    • 0042256493 scopus 로고    scopus 로고
    • Efficient probabilistic design by converting reliability constraints to approximately equivalent deterministic constraints
    • Wu YT, Wang W (1998) Efficient probabilistic design by converting reliability constraints to approximately equivalent deterministic constraints. J Integr Des Process Sci 2(4):13-21
    • (1998) J Integr des Process Sci , vol.2 , Issue.4 , pp. 13-21
    • Wu, Y.T.1    Wang, W.2
  • 32
    • 1142300424 scopus 로고    scopus 로고
    • Experience with approximate reliability-based optimizationmethods
    • Yang RJ, Gu L (2004) Experience with approximate reliability-based optimizationmethods. Struct Multidiscipl Optim 26(1-2):152-
    • (2004) Struct Multidiscipl Optim , vol.26 , Issue.1-2 , pp. 152
    • Yang, R.J.1    Gu, L.2
  • 33
    • 36348931585 scopus 로고    scopus 로고
    • A sequential approximate programming strategy for performance-measure- based probabilistic structural design optimization
    • DOI 10.1016/j.strusafe.2006.08.003, PII S0167473006000531
    • Yi P, Cheng G, Jiang L (2008) A sequential approximate programming strategy for performance-measure-based probabilistic structural design optimization. Struct Saf 30(2):91-109 (Pubitemid 350154403)
    • (2008) Structural Safety , vol.30 , Issue.2 , pp. 91-109
    • Yi, P.1    Cheng, G.2    Jiang, L.3
  • 34
    • 4344638167 scopus 로고    scopus 로고
    • An investigation of nonlinearity of reliability based design optimization approaches
    • Youn BD, Choi KK (2004) An investigation of nonlinearity of reliability based design optimization approaches. J Mech Des (ASME) 126(3):403-411
    • (2004) J Mech des (ASME) , vol.126 , Issue.3 , pp. 403-411
    • Youn, B.D.1    Choi, K.K.2
  • 35
    • 18144397487 scopus 로고    scopus 로고
    • Enriched performance measure approach for reliability-based design optimization
    • Youn BD, Choi KK, Liu D (2005) Enriched performance measure approach for reliability-based design optimization. AIAA J 43(4):874-884
    • (2005) AIAA J , vol.43 , Issue.4 , pp. 874-884
    • Youn, B.D.1    Choi, K.K.2    Liu, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.