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article

Model uncertainty approximation using a copula-based approach for reliability based design optimization

Authors:

Ren-Jye YangAuthors Info & Claims

Structural and Multidisciplinary Optimization, Volume 54, Issue 6

Pages 1543 - 1556

https://doi.org/10.1007/s00158-016-1530-2

Published: 01 December 2016 Publication History

Abstract

Reliability-based design optimization (RBDO) has been widely used to design engineering products with minimum cost function while meeting reliability constraints. Although uncertainties, such as aleatory uncertainty and epistemic uncertainty, have been well considered in RBDO, they are mainly considered for model input parameters. Model uncertainty, i.e., the uncertainty of model bias indicating the inherent model inadequacy for representing the real physical system, is typically overlooked in RBDO. This paper addresses model uncertainty approximation in a product design space and further integrates the model uncertainty into RBDO. In particular, a copula-based bias modeling approach is proposed and results are demonstrated by two vehicle design problems.

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Cited By

Acar EBayrak GJung YLee IRamu PRavichandran S(2021)Modeling, analysis, and optimization under uncertainties: a reviewStructural and Multidisciplinary Optimization10.1007/s00158-021-03026-764:5(2909-2945)Online publication date: 1-Nov-2021
https://dl.acm.org/doi/10.1007/s00158-021-03026-7
Xu CLiu ZZhu PLi M(2020)Sensitivity-based adaptive sequential sampling for metamodel uncertainty reduction in multilevel systemsStructural and Multidisciplinary Optimization10.1007/s00158-020-02673-662:3(1473-1496)Online publication date: 1-Sep-2020
https://dl.acm.org/doi/10.1007/s00158-020-02673-6
Moon MKim HLee KPark BChoi K(2020)Uncertainty quantification and statistical model validation for an offshore jacket structure panel given limited test data and simulation modelStructural and Multidisciplinary Optimization10.1007/s00158-020-02520-861:6(2305-2318)Online publication date: 1-Jun-2020
https://dl.acm.org/doi/10.1007/s00158-020-02520-8
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cover image Structural and Multidisciplinary Optimization

Structural and Multidisciplinary Optimization Volume 54, Issue 6

December 2016

317 pages

ISSN:1615-147X

Issue’s Table of Contents

Copyright © Copyright © 2016 Springer-Verlag Berlin Heidelberg.

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 01 December 2016

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Cited By

Acar EBayrak GJung YLee IRamu PRavichandran S(2021)Modeling, analysis, and optimization under uncertainties: a reviewStructural and Multidisciplinary Optimization10.1007/s00158-021-03026-764:5(2909-2945)Online publication date: 1-Nov-2021
https://dl.acm.org/doi/10.1007/s00158-021-03026-7
Xu CLiu ZZhu PLi M(2020)Sensitivity-based adaptive sequential sampling for metamodel uncertainty reduction in multilevel systemsStructural and Multidisciplinary Optimization10.1007/s00158-020-02673-662:3(1473-1496)Online publication date: 1-Sep-2020
https://dl.acm.org/doi/10.1007/s00158-020-02673-6
Moon MKim HLee KPark BChoi K(2020)Uncertainty quantification and statistical model validation for an offshore jacket structure panel given limited test data and simulation modelStructural and Multidisciplinary Optimization10.1007/s00158-020-02520-861:6(2305-2318)Online publication date: 1-Jun-2020
https://dl.acm.org/doi/10.1007/s00158-020-02520-8
Jung YCho HDuan ZLee I(2020)Determination of sample size for input variables in RBDO through bi-objective confidence-based design optimization under input model uncertaintyStructural and Multidisciplinary Optimization10.1007/s00158-019-02357-w61:1(253-266)Online publication date: 1-Jan-2020
https://dl.acm.org/doi/10.1007/s00158-019-02357-w
Moon MCho HChoi KGaul NLamb DGorsich D(2018)Confidence-based reliability assessment considering limited numbers of both input and output test dataStructural and Multidisciplinary Optimization10.5555/3214124.321415557:5(2027-2043)Online publication date: 1-May-2018
https://dl.acm.org/doi/10.5555/3214124.3214155
Wang ZCheng XLiu J(2018)Time-dependent concurrent reliability-based design optimization integrating experiment-based model validationStructural and Multidisciplinary Optimization10.1007/s00158-017-1823-057:4(1523-1531)Online publication date: 1-Apr-2018
https://dl.acm.org/doi/10.1007/s00158-017-1823-0

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