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An efficient strategy for reliability-based multidisciplinary design optimization using BLISS

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Abstract

This paper presents an efficient reliability-based multidisciplinary design optimization (RBMDO) strategy. The conventional RBMDO has tri-level loops: the first level is an optimization in the deterministic space, the second one is a reliability analysis in the probabilistic space, and the third one is the multidisciplinary analysis. Since it is computationally inefficient when high-fidelity simulation methods are involved, an efficient strategy is proposed. The strategy [named probabilistic bi-level integrated system synthesis (ProBLISS)] utilizes a single-level reliability-based design optimization (RBDO) approach, in which the reliability analysis and optimization are conducted in a sequential manner by approximating limit state functions. The single-level RBDO is associated with the BLISS formulation to solve RBMDO problems. Since both the single-level RBDO and BLISS are mainly driven by approximate models, the accuracy of models can be a critical issue for convergence. The convergence of the strategy is guaranteed by employing the trust region–sequential quadratic programming framework, which validates approximation models in the trust region radius. Two multidisciplinary problems are tested to verify the strategy. ProBLISS significantly reduces the computational cost and shows stable convergence while maintaining accuracy.

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References

  • Agarwal H, Renaud JE, Mack JD (2003) A decomposition approach for multidisciplinary design optimization. AIAA2003-1778. Proceedings of the 44th AIAA/ASME/ASCE/AHS structures, structural dynamics, and materials conference, Norfolk

  • Agarwal H, Renaud JE, Lee JC, Watson LT (2004) A unilevel method for reliability based design optimization. AIAA2004-2029. Proceedings of the 45th AIAA/ASME/ASCE/AHS structures, structural dynamics, and materials conference, Palm Springs

  • Ahn J, Kwon JH (2004) Sequential approach to reliability analysis of multidisciplinary analysis systems. Struct Multidiscipl Optim 28(6)397–406. DOI 10.1007/s00158-004-0459-z

  • Braun RD (1996) Collaborative optimization: an architecture for large scale distributed design. Ph.D. dissertation, Stanford University, Stanford

  • Chen X et al (1997) Reliability based structural design optimization for practical applications. AIAA-1997-1403. Proceedings of the 38th AIAA/ASME/ASCE/AHS structures, structural dynamics, and materials conference, Kissimmee

  • Choi KK, Youn BD (2002) On probabilistic approaches for reliability based optimization. AIAA-2002-5472. Proceedings of the 9th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, Atlanta

  • Du X, Chen W (2002a) Collaborative reliability analysis for multidisciplinary systems design. AIAA-2002-5474. Proceedings of the 9th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, Atlanta

  • Du X, Chen W (2002b) Efficient uncertainty analysis methods for multidisciplinary robust design. AIAA J 40(3):545–552

    Google Scholar 

  • Du X, Chen W (2002c) Sequential optimization and reliability assessment method for efficient probabilistic design. DETC2002/DAC-34127. Proceedings of ASME 2002 design engineering technical conference and computers and information in engineering conference, Montreal

  • Gu X, Renaud JE (2002) Implementation study of implicit uncertainty propagation(IUP) in decomposition-based optimization. AIAA-2002-5416. Proceedings of the 9th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, Atlanta

  • Gu X, Renaud JE, Batill SM, Brach RM, Budhiraja AS (2000) Worst case propagated uncertainty of multidisciplinary systems in robust design optimization. Struct Multidiscipl Optim 20:190–213

    Article  Google Scholar 

  • Halder A, Mahadevan S (2000) Reliability assessment using stochastic finite element analysis. Wiley, New York, pp 80–81

    Google Scholar 

  • Kokkolaras M, Moulrlatos JP, Papalambros PY (2005) Design optimization of hierarchically decomposed multilevel systems under uncertainty. DETC2004/DAC-57357. Proceedings of ASME 2004 design engineering technical conference and computers and information in engineering conference, Salt Lake City

  • Mahadevan S, Smith NL (2003) System risk assessment and allocation in conceptual design analysis. NASA/CR-2003-212162. NASA Langley Research Center, Hampton

  • Nocedal J, Wright SJ (1999) Numerical optimization. Springer, Berlin Heidelberg New York, pp 434–439

    MATH  Google Scholar 

  • Padmanabhan D, Batill SM (2002) Decomposition strategies for reliability based optimization in multidisciplinary system design. AIAA-2002-5471. Proceedings of the 9th AIAA/USAF/NASA/ ISSMO symposium on multidisciplinary analysis and optimization, Atlanta

  • Rackwitz R, Fiessler B (1978) Structural reliability under combined random load sequences. Comput Struct 9:489–494

    Article  MATH  Google Scholar 

  • Sobieszczanski-Sobieski J, Agte JS, Sandusky RR (1998) Bi-level integrated system synthesis (BLISS). NASA/TM-1998-208715. NASA Langley Research Center, Hampton

    Google Scholar 

  • Wang L, Kodiyalam S (2002) An efficient method for probabilistic and robust design with non-normal distributions. AIAA-2002-1754. Proceedings of the 43rd AIAA/ASME/ASCE/AHS structures, structural dynamics, and materials conference, Denver

  • Wu Y-T, Wang W (1998) Efficient probabilistic design by converting reliability constraints to approximately equivalent deterministic constraints. J Integr Des Process Sci 2(4):13–21

    MATH  Google Scholar 

  • Wu Y-T, Millwater HR, Cruse TA (1990) Advanced probabilistic structural analysis method for implicit performance functions. AIAA J 28(9):1663–1669

    Article  Google Scholar 

  • Wu Y-T, Shin Y, Sues R, Cesare M (2001) Safety factor based approach for probability-based design optimization. AIAA-2001-1522. Proceedings of the 42nd AIAA/ASME/ASCE/AHS structures, structural dynamics, and materials conference, Seattle

  • Yang RJ, Gu L (2003) Experience with approximate reliability-based optimization methods. Struct Multidiscipl Optim 26:152–159

    Article  Google Scholar 

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Ahn, J., Kwon, J.H. An efficient strategy for reliability-based multidisciplinary design optimization using BLISS. Struct Multidisc Optim 31, 363–372 (2006). https://doi.org/10.1007/s00158-005-0565-6

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  • DOI: https://doi.org/10.1007/s00158-005-0565-6

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