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

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. Thu...

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Bibliographic Details
Published in:Engineering with computers 2019-10, Vol.35 (4), p.1507-1519
Main Authors: Ghohani Arab, Hamed, Rashki, Mohsen, Rostamian, Mehdi, Ghavidel, Alireza, Shahraki, Hossein, Keshtegar, Behrooz
Format: Article
Language:English
Subjects:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Classical Mechanics
Computer Science
Computer-Aided Engineering (CAD
Control
Entropy
Math. Applications in Chemistry
Mathematical and Computational Engineering
Mathematical models
Optimization
Original Article
Reliability
Systems Theory
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Summary: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.
ISSN:0177-0667
1435-5663
DOI:10.1007/s00366-018-0680-9