Optimization of non-periodic inspection of structural components by Bayesian approach

This paper presents an advanced Bayesian analysis method to determine the appropriate non-periodic inspection intervals of fatigue-sensitive structures. The calculation procedure of the posterior distribution is improved compared to the previous methods. The method is based on assumptions about the...

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Autores principales: Haoyu HUANG, Jeremy KNOPP, Manabu TSUNOKAI, Hiroo ASADA
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Lenguaje:EN
Publicado: The Japan Society of Mechanical Engineers 2018
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Acceso en línea:https://doaj.org/article/54d2538b9e254b36bae415931db904c4
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spelling oai:doaj.org-article:54d2538b9e254b36bae415931db904c42021-11-26T07:23:09ZOptimization of non-periodic inspection of structural components by Bayesian approach2187-974510.1299/mej.18-00157https://doaj.org/article/54d2538b9e254b36bae415931db904c42018-08-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/5/5/5_18-00157/_pdf/-char/enhttps://doaj.org/toc/2187-9745This paper presents an advanced Bayesian analysis method to determine the appropriate non-periodic inspection intervals of fatigue-sensitive structures. The calculation procedure of the posterior distribution is improved compared to the previous methods. The method is based on assumptions about the probability density functions of the time until crack initiation, a law of crack propagation, the probability of crack detection and the failure rate before and after crack initiation. A major feature of this method is that even when there are uncertain parameters in the equations, the next inspection interval can be determined. Moreover, the probability density function of the uncertain parameters is updated according to the results of each inspection. A simulation study was conducted to evaluate the proposed method. The proposed method is evaluated and it is statistically shown that this Bayesian approach allows (a) evaluation the inspection interval accurately even with incorrect prior knowledge about the parameters and, (b) estimation of the reliability of a system accurately, even when some of the parameters are uncertain.Haoyu HUANGJeremy KNOPPManabu TSUNOKAIHiroo ASADAThe Japan Society of Mechanical Engineersarticlebayesian methodsmaintenanceoptimizationprobability density functionreliabilityMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 5, Iss 5, Pp 18-00157-18-00157 (2018)
institution DOAJ
collection DOAJ
language EN
topic bayesian methods
maintenance
optimization
probability density function
reliability
Mechanical engineering and machinery
TJ1-1570
spellingShingle bayesian methods
maintenance
optimization
probability density function
reliability
Mechanical engineering and machinery
TJ1-1570
Haoyu HUANG
Jeremy KNOPP
Manabu TSUNOKAI
Hiroo ASADA
Optimization of non-periodic inspection of structural components by Bayesian approach
description This paper presents an advanced Bayesian analysis method to determine the appropriate non-periodic inspection intervals of fatigue-sensitive structures. The calculation procedure of the posterior distribution is improved compared to the previous methods. The method is based on assumptions about the probability density functions of the time until crack initiation, a law of crack propagation, the probability of crack detection and the failure rate before and after crack initiation. A major feature of this method is that even when there are uncertain parameters in the equations, the next inspection interval can be determined. Moreover, the probability density function of the uncertain parameters is updated according to the results of each inspection. A simulation study was conducted to evaluate the proposed method. The proposed method is evaluated and it is statistically shown that this Bayesian approach allows (a) evaluation the inspection interval accurately even with incorrect prior knowledge about the parameters and, (b) estimation of the reliability of a system accurately, even when some of the parameters are uncertain.
format article
author Haoyu HUANG
Jeremy KNOPP
Manabu TSUNOKAI
Hiroo ASADA
author_facet Haoyu HUANG
Jeremy KNOPP
Manabu TSUNOKAI
Hiroo ASADA
author_sort Haoyu HUANG
title Optimization of non-periodic inspection of structural components by Bayesian approach
title_short Optimization of non-periodic inspection of structural components by Bayesian approach
title_full Optimization of non-periodic inspection of structural components by Bayesian approach
title_fullStr Optimization of non-periodic inspection of structural components by Bayesian approach
title_full_unstemmed Optimization of non-periodic inspection of structural components by Bayesian approach
title_sort optimization of non-periodic inspection of structural components by bayesian approach
publisher The Japan Society of Mechanical Engineers
publishDate 2018
url https://doaj.org/article/54d2538b9e254b36bae415931db904c4
work_keys_str_mv AT haoyuhuang optimizationofnonperiodicinspectionofstructuralcomponentsbybayesianapproach
AT jeremyknopp optimizationofnonperiodicinspectionofstructuralcomponentsbybayesianapproach
AT manabutsunokai optimizationofnonperiodicinspectionofstructuralcomponentsbybayesianapproach
AT hirooasada optimizationofnonperiodicinspectionofstructuralcomponentsbybayesianapproach
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