Damage Evaluation of Bridge Hanger Based on Bayesian Inference: Analytical Model

With the increase of the long-span bridge, the damage of the long-span bridge hanger has attracted more and more attention. Nowadays, the probability statistics method based on Bayes’ theorem is widely used for evaluating the damage of bridge, that is, Bayesian inference. In this study, the damage e...

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Main Authors: Yang Ding, Jing-liang Dong, Tong-lin Yang, Zhong-ping Wang, Shuang-xi Zhou, Yong-qi Wei, An-ming She
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2021/9947727
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spelling doaj-8a745d7325234d37aa4d20ec2284127b2021-06-07T02:12:43ZengHindawi LimitedAdvances in Materials Science and Engineering1687-84422021-01-01202110.1155/2021/9947727Damage Evaluation of Bridge Hanger Based on Bayesian Inference: Analytical ModelYang Ding0Jing-liang Dong1Tong-lin Yang2Zhong-ping Wang3Shuang-xi Zhou4Yong-qi Wei5An-ming She6Department of Civil EngineeringSchool of Civil Engineering and ArchitectureCollege of Chemistry and Chemical EngineeringKey Laboratory of Advanced Civil Engineering Materials of Ministry of EducationSchool of Civil Engineering and ArchitectureSchool of Materials Science and EngineeringKey Laboratory of Advanced Civil Engineering Materials of Ministry of EducationWith the increase of the long-span bridge, the damage of the long-span bridge hanger has attracted more and more attention. Nowadays, the probability statistics method based on Bayes’ theorem is widely used for evaluating the damage of bridge, that is, Bayesian inference. In this study, the damage evaluation model of bridge hanger is established based on Bayesian inference. For the damage evaluation model, the analytical expressions for calculating the weights by finite mixture (FM) method are derived. In order to solve the complex analytical expressions in damage evaluation model, the Metropolis-Hastings (MH) sampling of Markov chain Monte Carlo (MCMC) method was used. Three case studies are adopted to demonstrate the effect of the initial value and the applicability of the proposed model. The result suggests that the proposed model can evaluate the damage of the bridge hanger.http://dx.doi.org/10.1155/2021/9947727
collection DOAJ
language English
format Article
sources DOAJ
author Yang Ding
Jing-liang Dong
Tong-lin Yang
Zhong-ping Wang
Shuang-xi Zhou
Yong-qi Wei
An-ming She
spellingShingle Yang Ding
Jing-liang Dong
Tong-lin Yang
Zhong-ping Wang
Shuang-xi Zhou
Yong-qi Wei
An-ming She
Damage Evaluation of Bridge Hanger Based on Bayesian Inference: Analytical Model
Advances in Materials Science and Engineering
author_facet Yang Ding
Jing-liang Dong
Tong-lin Yang
Zhong-ping Wang
Shuang-xi Zhou
Yong-qi Wei
An-ming She
author_sort Yang Ding
title Damage Evaluation of Bridge Hanger Based on Bayesian Inference: Analytical Model
title_short Damage Evaluation of Bridge Hanger Based on Bayesian Inference: Analytical Model
title_full Damage Evaluation of Bridge Hanger Based on Bayesian Inference: Analytical Model
title_fullStr Damage Evaluation of Bridge Hanger Based on Bayesian Inference: Analytical Model
title_full_unstemmed Damage Evaluation of Bridge Hanger Based on Bayesian Inference: Analytical Model
title_sort damage evaluation of bridge hanger based on bayesian inference: analytical model
publisher Hindawi Limited
series Advances in Materials Science and Engineering
issn 1687-8442
publishDate 2021-01-01
description With the increase of the long-span bridge, the damage of the long-span bridge hanger has attracted more and more attention. Nowadays, the probability statistics method based on Bayes’ theorem is widely used for evaluating the damage of bridge, that is, Bayesian inference. In this study, the damage evaluation model of bridge hanger is established based on Bayesian inference. For the damage evaluation model, the analytical expressions for calculating the weights by finite mixture (FM) method are derived. In order to solve the complex analytical expressions in damage evaluation model, the Metropolis-Hastings (MH) sampling of Markov chain Monte Carlo (MCMC) method was used. Three case studies are adopted to demonstrate the effect of the initial value and the applicability of the proposed model. The result suggests that the proposed model can evaluate the damage of the bridge hanger.
url http://dx.doi.org/10.1155/2021/9947727
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AT zhongpingwang damageevaluationofbridgehangerbasedonbayesianinferenceanalyticalmodel
AT shuangxizhou damageevaluationofbridgehangerbasedonbayesianinferenceanalyticalmodel
AT yongqiwei damageevaluationofbridgehangerbasedonbayesianinferenceanalyticalmodel
AT anmingshe damageevaluationofbridgehangerbasedonbayesianinferenceanalyticalmodel
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