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Structural and Multidisciplinary Optimization

, Volume 57, Issue 3, pp 977–994 | Cite as

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

  • Clara Cid Bengoa
  • Aitor Baldomir
  • Santiago Hernández
  • Luis Romera
RESEARCH PAPER
  • 217 Downloads

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.

Keywords

Fail-safe design Damaged configurations Uncertainty Reliability index Optimization Multi-model RBDO 

Notes

Acknowledgements

The research leading to these results is part of the research project DPI2016-76934-R financed by the Spanish Ministry of Economy and Competitiveness.

References

  1. Abaqus (2014) Abaqus 6.14.2. DocumentationGoogle Scholar
  2. Altair OptiStruct (2013) User Manual Version 12. Altair Engineering Inc, DetroitGoogle Scholar
  3. Aoues Y, Chanteauneuf A (2010) Benchmark study of numerical methods for reliability-based design optimization. Struct Multidiscip Optim 41(2):277–294MathSciNetCrossRefzbMATHGoogle Scholar
  4. 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, HawaiiGoogle Scholar
  5. 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 128:91–100CrossRefGoogle Scholar
  6. 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 bridgesGoogle Scholar
  7. Choi SK, Grandhi RV, Canfield R, Pettit CL (2004) Polynomial chaos expansion with latin hypercube sampling for estimating response variability. AIAA J 42(6):1191–1198CrossRefGoogle Scholar
  8. Choi S-K, Grandhi RV, Canfield RA (2007) Reliability-based structural design. Springer-Verlag, LondonzbMATHGoogle Scholar
  9. 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):827–843CrossRefGoogle Scholar
  10. Cornell CA (1969) A probability based structural code. JAm Concr Inst 66(12):974–985Google Scholar
  11. 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 107115Google Scholar
  12. Du X, Chen W (2004) Sequential optimization and reliability assessment method for efficient probabilistic design. J Mech Des 126(2):225–233CrossRefGoogle Scholar
  13. Enevoldsen I, Sørensen JD (1994) Reliability-based optimization in structural engineering. Struct Saf 15(3):169–196CrossRefGoogle Scholar
  14. Eurocode 9 (2007) Design of all aluminum structures, Part 1-1: General Common rules, BS EN 1999-1-1Google Scholar
  15. Hasofer AM, Lind NC (1974) Exact and invariant second-moment code format. J Eng Mech Div ASCE 100(1):111–121Google Scholar
  16. Hu Z, Li H, Du X (2013) Simulation-based time-dependent reliability analysis for composite hydrokinetic turbine blades. Struct Multidiscip Optim 47:765–781CrossRefGoogle Scholar
  17. 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):657–666MathSciNetCrossRefGoogle Scholar
  18. Kusano I, Baldomir A, Jurado JA, Hernández S (2014) Reliability based design optimization of long-span bridges considering flutter. J Wind Eng Ind Aerodyn 135:149–162CrossRefGoogle Scholar
  19. 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 146:59–70CrossRefGoogle Scholar
  20. 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):1121-1141Google Scholar
  21. MATLAB (2013) Matlab R2013a documentationGoogle Scholar
  22. 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):1403-1421Google Scholar
  23. Pedersen P (1972) On the optimal layout of multi-purpose trusses. Comput Struct 2:695–712CrossRefGoogle Scholar
  24. Post-Tensioning Institute (2007) Recommendations for stay cable design, testing and installation, 5th Edition, Phoenix, AZGoogle Scholar
  25. 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 59:570–587CrossRefGoogle Scholar
  26. Tu J, Choi KK, Park YH (1999) A new study on reliability-based design optimization. J Mech Des Trans ASME 121(4):557–564CrossRefGoogle Scholar
  27. U.S. Department of Transportation (2000) Minimizing the hazards from propeller blade and hub failures. Federal Aviation Administration, Advisory Circular, AC 25.905–1Google Scholar
  28. U.S. Department of Transportation (2011) Damage tolerance and fatigue evaluation of structure. Federal Aviation Administration, Advisory Circular, AC 25.571–1DGoogle Scholar
  29. Wu YT (1994) Computational methods for efficient structural reliability and reliability sensitivity analysis. AIAA J 32(8):1717–1723CrossRefzbMATHGoogle Scholar
  30. Wu YT, Millwater HR, Cruse TA (1990) Advanced probabilistic structural analysis method for implicit performance functions. AIAA J 28(9):1663–1669CrossRefGoogle Scholar
  31. Young YL, Baker JW, Motley MR (2010) Reliability-based design and optimization of adaptive marine structures. Compos Struct 92(2):244–253CrossRefGoogle Scholar
  32. Zhao YG, Ono T (2001) Moment methods for structural reliability. Struct Saf 23(1):47–75CrossRefGoogle Scholar
  33. Zhou M, Fleury R (2016) Fail-safe topology optimization. Struct Multidiscip Optim 54(5):1225–1243CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Structural Mechanics Group, School of Civil EngineeringUniversidade da Coruña, Campus de Elviña s/nA CoruñaSpain

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