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Response surface single loop reliability-based design optimization with higher-order reliability assessment
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.), Solid Mechanics (Div.).ORCID iD: 0000-0001-6375-6292
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.), Solid Mechanics (Div.).ORCID iD: 0000-0001-8068-2360
2016 (English)In: Structural and multidisciplinary optimization (Print), ISSN 1615-147X, E-ISSN 1615-1488, 1-17 p.Article in journal (Refereed) Published
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Text
Abstract [en]

Reliability-based design optimization (RBDO) aims at determination of the optimal design in the presence of uncertainty. The available Single-Loop approaches for RBDO are based on the First-Order Reliability Method (FORM) for the computation of the probability of failure, along with different approximations in order to avoid the expensive inner loop aiming at finding the Most Probable Point (MPP). However, the use of FORM in RBDO may not lead to sufficient accuracy depending on the degree of nonlinearity of the limit-state function. This is demonstrated for an extensively studied reliability-based design for vehicle crashworthiness problem solved in this paper, where all RBDO methods based on FORM strongly violates the probabilistic constraints. The Response Surface Single Loop (RSSL) method for RBDO is proposed based on the higher order probability computation for quadratic models previously presented by the authors. The RSSL-method bypasses the concept of an MPP and has high accuracy and efficiency. The method can solve problems with both constant and varying standard deviation of design variables and is particularly well suited for typical industrial applications where general quadratic response surface models can be used. If the quadratic response surface models of the deterministic constraints are valid in the whole region of interest, the method becomes a true single loop method with accuracy higher than traditional SORM. In other cases, quadratic response surface models are fitted to the deterministic constraints around the deterministic solution and the RBDO problem is solved using the proposed single loop method.

Place, publisher, year, edition, pages
Springer, 2016. 1-17 p.
Keyword [en]
Higher-order reliability assessment, Probabilistic design, Probability of failure, Reliability-based Design Optimization (RBDO), Response surface method, Uncertainty, Accidents, Crashworthiness, Design, Image segmentation, Machine design, Probability, Problem solving, Reliability analysis, Structural analysis, Surface properties, Reliability assessments, Reliability-based design optimization, Reliability
National Category
Control Engineering Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-188330DOI: 10.1007/s00158-015-1386-xISI: 000377460100006Scopus ID: 2-s2.0-84955262400OAI: oai:DiVA.org:kth-188330DiVA: diva2:934838
Note

QC 20160609

Available from: 2016-06-09 Created: 2016-06-09 Last updated: 2016-07-05Bibliographically approved

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Mansour, RamiOlsson, Mårten
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