 The return of the design pointsKarl Breitung Reliability Engineering and System Safety, 2024, vol. 247, issue C Abstract: In the last decades simulation methods for calculating failure probabilities in structural reliability have become increasingly popular. The FORM/SORM concepts were discarded based on the claim that these methods do not work well for high dimensional problems and for multiple design points. From this it was concluded that design points are quite useless. This is based a confusion between the design point concept and the FORM/SORM approximation method. The Lemma of Hohenbichler shows that for small probabilities the probability content of the failure domain is concentrated around the design points, so these points are important. Their positions give further the conditional means of the points in the failure domains. Then it is proven that most of the alternative estimation methods, surrogate models, cross entropy, subset simulation and line sampling use implicitly design point concepts. All these approaches end up with a point clouds around the design points. Finally design point based methods are derived which are efficient for high dimensions and multiple design points. Keywords: Asymptotic approximations; FORM/SORM; Subset simulation; Cross entropy; Surrogate modeling; Line sampling (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:247:y:2024:i:c:s0951832024001777 DOI: 10.1016/j.ress.2024.110103 Access Statistics for this article Reliability Engineering and System Safety is currently edited by Carlos Guedes Soares More articles in Reliability Engineering and System Safety from Elsevier |
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