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Erschienen in: Engineering with Computers 4/2019

19.12.2018 | Original Article

Refined first-order reliability method using cross-entropy optimization method

verfasst von: Hamed Ghohani Arab, Mohsen Rashki, Mehdi Rostamian, Alireza Ghavidel, Hossein Shahraki, Behrooz Keshtegar

Erschienen in: Engineering with Computers | Ausgabe 4/2019

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Abstract

Generally, the first-order reliability method (FORM) is an efficient and accurate reliability method for problems with linear limit state functions (LSFs). It is showed that the FORM formula may produce inaccurate results when the LSF is defined by mathematical forms introduced as gray function. Thus, the original FORM formula may provide the results with huge errors. In this paper, a probabilistic optimization model as refined FORM (R-FORM) is presented to search most probable failure point (MPP) with the accurate results for gray LSFs. The cross-entropy optimization (CEO) method is utilized to search MPP in proposed R-FORM model. Several reliability problems are applied to illustrate the accuracy of the R-FORM compared to the conventional FORM formula. Results illustrate that the R-FORM provides more accurate results than the FORM for gray performance functions.

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Metadaten
Titel
Refined first-order reliability method using cross-entropy optimization method
verfasst von
Hamed Ghohani Arab
Mohsen Rashki
Mehdi Rostamian
Alireza Ghavidel
Hossein Shahraki
Behrooz Keshtegar
Publikationsdatum
19.12.2018
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 4/2019
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-018-0680-9

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