Skip to main content
Top
Published in: Structural and Multidisciplinary Optimization 3/2018

11-09-2017 | RESEARCH PAPER

Multi-model reliability-based design optimization of structures considering the intact configuration and several partial collapses

Authors: Clara Cid Bengoa, Aitor Baldomir, Santiago Hernández, Luis Romera

Published in: Structural and Multidisciplinary Optimization | Issue 3/2018

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Some structures require keeping a specific safety level even if part of their elements have collapsed. The aim of this paper is to obtain the optimum design of these structures when uncertainty in some parameters that affects to the structural response is also considered. A Reliability-Based Design Optimization (RBDO) problem is formulated in order to minimize the mass of the structure fulfilling probabilistic constraints in both intact and damaged configurations. The proposed methodology combines the formulation of multi-model optimization with RBDO techniques programmed in a Matlab code. Two application examples are presented consisting of a two-dimensional truss structure with stress constraints as well as a curved stiffened panel of an aircraft fuselage subjected to buckling constraints.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Altair OptiStruct (2013) User Manual Version 12. Altair Engineering Inc, Detroit Altair OptiStruct (2013) User Manual Version 12. Altair Engineering Inc, Detroit
go back to reference Aoues Y, Chanteauneuf A (2010) Benchmark study of numerical methods for reliability-based design optimization. Struct Multidiscip Optim 41(2):277–294MathSciNetCrossRefMATH Aoues Y, Chanteauneuf A (2010) Benchmark study of numerical methods for reliability-based design optimization. Struct Multidiscip Optim 41(2):277–294MathSciNetCrossRefMATH
go back to reference Baldomir A, Hernández S, Romera LE, Díaz J (2012) Size optimization of shell structures considering several incomplete configurations. 8th AIAA multidisciplinary design optimization specialist conference, Sheraton Waikiki Honolulu, Hawaii Baldomir A, Hernández S, Romera LE, Díaz J (2012) Size optimization of shell structures considering several incomplete configurations. 8th AIAA multidisciplinary design optimization specialist conference, Sheraton Waikiki Honolulu, Hawaii
go back to reference Baldomir A, Kusano I, Hernandez S, Jurado JA (2013) A reliability study for the Messina bridge with respect to flutter phenomena considering uncertainties in experimental and numerical data. Comput Struct 128:91–100CrossRef Baldomir A, Kusano I, Hernandez S, Jurado JA (2013) A reliability study for the Messina bridge with respect to flutter phenomena considering uncertainties in experimental and numerical data. Comput Struct 128:91–100CrossRef
go back to reference Baldomir A, Tembrás E, Hernández S (2015) Optimization of cable weight in multi-span cable- stayed bridges. Application to the forth replacement crossing. proceedings of multi-span large bridges Baldomir A, Tembrás E, Hernández S (2015) Optimization of cable weight in multi-span cable- stayed bridges. Application to the forth replacement crossing. proceedings of multi-span large bridges
go back to reference Choi SK, Grandhi RV, Canfield R, Pettit CL (2004) Polynomial chaos expansion with latin hypercube sampling for estimating response variability. AIAA J 42(6):1191–1198CrossRef Choi SK, Grandhi RV, Canfield R, Pettit CL (2004) Polynomial chaos expansion with latin hypercube sampling for estimating response variability. AIAA J 42(6):1191–1198CrossRef
go back to reference Choi S-K, Grandhi RV, Canfield RA (2007) Reliability-based structural design. Springer-Verlag, LondonMATH Choi S-K, Grandhi RV, Canfield RA (2007) Reliability-based structural design. Springer-Verlag, LondonMATH
go back to reference Cid Montoya M, Costas M, Díaz J, Romera LE, Hernández S (2015) A multi-objective reliability-based optimization of the crashworthiness of a metallic-GFRP impact absorber using hybrid approximations. Struct Multidiscip Optim 52(4):827–843CrossRef Cid Montoya M, Costas M, Díaz J, Romera LE, Hernández S (2015) A multi-objective reliability-based optimization of the crashworthiness of a metallic-GFRP impact absorber using hybrid approximations. Struct Multidiscip Optim 52(4):827–843CrossRef
go back to reference Cornell CA (1969) A probability based structural code. JAm Concr Inst 66(12):974–985 Cornell CA (1969) A probability based structural code. JAm Concr Inst 66(12):974–985
go back to reference D’Ippolito R, Ito K, van der Heggen B, Tzannetakis N (2012) Probabilistic optimization of the transmission loss of a composite ribbed panel. 25th international conference on noise and vibration engineering, ISMA2012 in conjunction with the 4th international conference on Uncertainty in Structural Dynamics, USD 2012; Leuven; Belgium, Code 107115 D’Ippolito R, Ito K, van der Heggen B, Tzannetakis N (2012) Probabilistic optimization of the transmission loss of a composite ribbed panel. 25th international conference on noise and vibration engineering, ISMA2012 in conjunction with the 4th international conference on Uncertainty in Structural Dynamics, USD 2012; Leuven; Belgium, Code 107115
go back to reference Du X, Chen W (2004) Sequential optimization and reliability assessment method for efficient probabilistic design. J Mech Des 126(2):225–233CrossRef Du X, Chen W (2004) Sequential optimization and reliability assessment method for efficient probabilistic design. J Mech Des 126(2):225–233CrossRef
go back to reference Enevoldsen I, Sørensen JD (1994) Reliability-based optimization in structural engineering. Struct Saf 15(3):169–196CrossRef Enevoldsen I, Sørensen JD (1994) Reliability-based optimization in structural engineering. Struct Saf 15(3):169–196CrossRef
go back to reference Eurocode 9 (2007) Design of all aluminum structures, Part 1-1: General Common rules, BS EN 1999-1-1 Eurocode 9 (2007) Design of all aluminum structures, Part 1-1: General Common rules, BS EN 1999-1-1
go back to reference Hasofer AM, Lind NC (1974) Exact and invariant second-moment code format. J Eng Mech Div ASCE 100(1):111–121 Hasofer AM, Lind NC (1974) Exact and invariant second-moment code format. J Eng Mech Div ASCE 100(1):111–121
go back to reference Hu Z, Li H, Du X (2013) Simulation-based time-dependent reliability analysis for composite hydrokinetic turbine blades. Struct Multidiscip Optim 47:765–781CrossRef Hu Z, Li H, Du X (2013) Simulation-based time-dependent reliability analysis for composite hydrokinetic turbine blades. Struct Multidiscip Optim 47:765–781CrossRef
go back to reference Jansen M, Lombaert G, Schevenels M, Sigmund O (2014) Topology optimization of fail-safe structures using a simplified local damage model. Struct Multidiscip Optim 49(4):657–666MathSciNetCrossRef Jansen M, Lombaert G, Schevenels M, Sigmund O (2014) Topology optimization of fail-safe structures using a simplified local damage model. Struct Multidiscip Optim 49(4):657–666MathSciNetCrossRef
go back to reference Kusano I, Baldomir A, Jurado JA, Hernández S (2014) Reliability based design optimization of long-span bridges considering flutter. J Wind Eng Ind Aerodyn 135:149–162CrossRef Kusano I, Baldomir A, Jurado JA, Hernández S (2014) Reliability based design optimization of long-span bridges considering flutter. J Wind Eng Ind Aerodyn 135:149–162CrossRef
go back to reference Kusano I, Baldomir A, Jurado JA, Hernández S (2015) Probabilistic optimization of the main cable and bridge deck of long-span suspension bridges under flutter constraint. J Wind Eng Ind Aerodyn 146:59–70CrossRef Kusano I, Baldomir A, Jurado JA, Hernández S (2015) Probabilistic optimization of the main cable and bridge deck of long-span suspension bridges under flutter constraint. J Wind Eng Ind Aerodyn 146:59–70CrossRef
go back to reference López C, Bacarreza O, Baldomir A, Hernández S (2016) Reliability-based design optimization of composite stiffened panels in post-buckling regime. Struct Multidiscip Optim 55(3):1121-1141 López C, Bacarreza O, Baldomir A, Hernández S (2016) Reliability-based design optimization of composite stiffened panels in post-buckling regime. Struct Multidiscip Optim 55(3):1121-1141
go back to reference Moustapha M, Sudret B, Bourinet J-M, Guillaume B (2016) Quantile-based optimization under uncertainties using adaptive Kriging surrogate models. Struct Multidiscip Optim 54(6):1403-1421 Moustapha M, Sudret B, Bourinet J-M, Guillaume B (2016) Quantile-based optimization under uncertainties using adaptive Kriging surrogate models. Struct Multidiscip Optim 54(6):1403-1421
go back to reference Pedersen P (1972) On the optimal layout of multi-purpose trusses. Comput Struct 2:695–712CrossRef Pedersen P (1972) On the optimal layout of multi-purpose trusses. Comput Struct 2:695–712CrossRef
go back to reference Post-Tensioning Institute (2007) Recommendations for stay cable design, testing and installation, 5th Edition, Phoenix, AZ Post-Tensioning Institute (2007) Recommendations for stay cable design, testing and installation, 5th Edition, Phoenix, AZ
go back to reference Saad L, Aissani A, Chateauneuf A, Raphael W (2016) Reliability-based optimization of direct and indirect LCC of RC bridge elements under coupled fatigue-corrosion deterioration processes. Eng Fail Anal 59:570–587CrossRef Saad L, Aissani A, Chateauneuf A, Raphael W (2016) Reliability-based optimization of direct and indirect LCC of RC bridge elements under coupled fatigue-corrosion deterioration processes. Eng Fail Anal 59:570–587CrossRef
go back to reference Tu J, Choi KK, Park YH (1999) A new study on reliability-based design optimization. J Mech Des Trans ASME 121(4):557–564CrossRef Tu J, Choi KK, Park YH (1999) A new study on reliability-based design optimization. J Mech Des Trans ASME 121(4):557–564CrossRef
go back to reference U.S. Department of Transportation (2000) Minimizing the hazards from propeller blade and hub failures. Federal Aviation Administration, Advisory Circular, AC 25.905–1 U.S. Department of Transportation (2000) Minimizing the hazards from propeller blade and hub failures. Federal Aviation Administration, Advisory Circular, AC 25.905–1
go back to reference U.S. Department of Transportation (2011) Damage tolerance and fatigue evaluation of structure. Federal Aviation Administration, Advisory Circular, AC 25.571–1D U.S. Department of Transportation (2011) Damage tolerance and fatigue evaluation of structure. Federal Aviation Administration, Advisory Circular, AC 25.571–1D
go back to reference Wu YT (1994) Computational methods for efficient structural reliability and reliability sensitivity analysis. AIAA J 32(8):1717–1723CrossRefMATH Wu YT (1994) Computational methods for efficient structural reliability and reliability sensitivity analysis. AIAA J 32(8):1717–1723CrossRefMATH
go back to reference Wu YT, Millwater HR, Cruse TA (1990) Advanced probabilistic structural analysis method for implicit performance functions. AIAA J 28(9):1663–1669CrossRef Wu YT, Millwater HR, Cruse TA (1990) Advanced probabilistic structural analysis method for implicit performance functions. AIAA J 28(9):1663–1669CrossRef
go back to reference Young YL, Baker JW, Motley MR (2010) Reliability-based design and optimization of adaptive marine structures. Compos Struct 92(2):244–253CrossRef Young YL, Baker JW, Motley MR (2010) Reliability-based design and optimization of adaptive marine structures. Compos Struct 92(2):244–253CrossRef
go back to reference Zhao YG, Ono T (2001) Moment methods for structural reliability. Struct Saf 23(1):47–75CrossRef Zhao YG, Ono T (2001) Moment methods for structural reliability. Struct Saf 23(1):47–75CrossRef
go back to reference Zhou M, Fleury R (2016) Fail-safe topology optimization. Struct Multidiscip Optim 54(5):1225–1243CrossRef Zhou M, Fleury R (2016) Fail-safe topology optimization. Struct Multidiscip Optim 54(5):1225–1243CrossRef
Metadata
Title
Multi-model reliability-based design optimization of structures considering the intact configuration and several partial collapses
Authors
Clara Cid Bengoa
Aitor Baldomir
Santiago Hernández
Luis Romera
Publication date
11-09-2017
Publisher
Springer Berlin Heidelberg
Published in
Structural and Multidisciplinary Optimization / Issue 3/2018
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-017-1789-y

Other articles of this Issue 3/2018

Structural and Multidisciplinary Optimization 3/2018 Go to the issue

Premium Partners