Probabilistic Prediction Model for Ultimate Conditions Under Compression of FRP-Wrapped Concrete Columns Based on Bayesian Inference

The compressive strength and ultimate strain of FRP-confined concrete cylinders are the key indicators for evaluating their mechanical properties. Accurate prediction of compressive strength and ultimate strain is essential for reliability analysis and design of such components. However, the existin...

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Main Authors: Feng Cao, Ran Zhu, Jun-Xing Zheng, Hai-Bin Huang, Dong Liang
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Buildings
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Online Access:https://www.mdpi.com/2075-5309/15/10/1720
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author Feng Cao
Ran Zhu
Jun-Xing Zheng
Hai-Bin Huang
Dong Liang
author_facet Feng Cao
Ran Zhu
Jun-Xing Zheng
Hai-Bin Huang
Dong Liang
author_sort Feng Cao
collection DOAJ
description The compressive strength and ultimate strain of FRP-confined concrete cylinders are the key indicators for evaluating their mechanical properties. Accurate prediction of compressive strength and ultimate strain is essential for reliability analysis and design of such components. However, the existing ultimate condition under compression models lack sufficient prediction accuracy, and the results exhibit significant uncertainty. This study proposes a Bayesian model updating method based on Markov Chain Monte Carlo (MCMC) sampling to improve the prediction accuracy of the ultimate condition under compression for FRP-confined concrete cylinders and to quantify the uncertainty of the prediction results. First of all, 1016 sets of experimental data on the ultimate condition under compression of FRP-confined concrete cylinders from previous studies were collected. Subsequently, the probabilistic updating model and evaluation system were established based on Bayesian parameter estimation principle, MCMC sampling, WAIC, and DIC. Then, several representative empirical models for predicting the ultimate condition under compression are selected, and their prediction performance is evaluated using the experimental data. Finally, a Bayesian updating problem is established for typical ultimate condition under compression models, and the posterior distributions of model parameters are obtained using MCMC sampling to select the best model, and the prediction performance of the optimal model is assessed using the experimental data. The results show that, compared with existing empirical models, the Bayesian inference-based probabilistic calculation model provides predictions closer to the experimental values, while also reasonably quantifying the uncertainty of the ultimate condition under compression prediction.
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institution Kabale University
issn 2075-5309
language English
publishDate 2025-05-01
publisher MDPI AG
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series Buildings
spelling doaj-art-e2b034dcfe0a4dc0bec48f8852daf5412025-08-20T03:47:48ZengMDPI AGBuildings2075-53092025-05-011510172010.3390/buildings15101720Probabilistic Prediction Model for Ultimate Conditions Under Compression of FRP-Wrapped Concrete Columns Based on Bayesian InferenceFeng Cao0Ran Zhu1Jun-Xing Zheng2Hai-Bin Huang3Dong Liang4CCCC Third Highway Engineering Co., Ltd., Beijing 100020, ChinaCCCC Third Highway Engineering Co., Ltd., Beijing 100020, ChinaSchool of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Civil and Transportation Engineering, Hebei University of Technology, Tianjin 300401, ChinaSchool of Civil and Transportation Engineering, Hebei University of Technology, Tianjin 300401, ChinaThe compressive strength and ultimate strain of FRP-confined concrete cylinders are the key indicators for evaluating their mechanical properties. Accurate prediction of compressive strength and ultimate strain is essential for reliability analysis and design of such components. However, the existing ultimate condition under compression models lack sufficient prediction accuracy, and the results exhibit significant uncertainty. This study proposes a Bayesian model updating method based on Markov Chain Monte Carlo (MCMC) sampling to improve the prediction accuracy of the ultimate condition under compression for FRP-confined concrete cylinders and to quantify the uncertainty of the prediction results. First of all, 1016 sets of experimental data on the ultimate condition under compression of FRP-confined concrete cylinders from previous studies were collected. Subsequently, the probabilistic updating model and evaluation system were established based on Bayesian parameter estimation principle, MCMC sampling, WAIC, and DIC. Then, several representative empirical models for predicting the ultimate condition under compression are selected, and their prediction performance is evaluated using the experimental data. Finally, a Bayesian updating problem is established for typical ultimate condition under compression models, and the posterior distributions of model parameters are obtained using MCMC sampling to select the best model, and the prediction performance of the optimal model is assessed using the experimental data. The results show that, compared with existing empirical models, the Bayesian inference-based probabilistic calculation model provides predictions closer to the experimental values, while also reasonably quantifying the uncertainty of the ultimate condition under compression prediction.https://www.mdpi.com/2075-5309/15/10/1720FRP-confined concretecompressive strengthultimate strainBayesian inferenceprobabilistic prediction
spellingShingle Feng Cao
Ran Zhu
Jun-Xing Zheng
Hai-Bin Huang
Dong Liang
Probabilistic Prediction Model for Ultimate Conditions Under Compression of FRP-Wrapped Concrete Columns Based on Bayesian Inference
Buildings
FRP-confined concrete
compressive strength
ultimate strain
Bayesian inference
probabilistic prediction
title Probabilistic Prediction Model for Ultimate Conditions Under Compression of FRP-Wrapped Concrete Columns Based on Bayesian Inference
title_full Probabilistic Prediction Model for Ultimate Conditions Under Compression of FRP-Wrapped Concrete Columns Based on Bayesian Inference
title_fullStr Probabilistic Prediction Model for Ultimate Conditions Under Compression of FRP-Wrapped Concrete Columns Based on Bayesian Inference
title_full_unstemmed Probabilistic Prediction Model for Ultimate Conditions Under Compression of FRP-Wrapped Concrete Columns Based on Bayesian Inference
title_short Probabilistic Prediction Model for Ultimate Conditions Under Compression of FRP-Wrapped Concrete Columns Based on Bayesian Inference
title_sort probabilistic prediction model for ultimate conditions under compression of frp wrapped concrete columns based on bayesian inference
topic FRP-confined concrete
compressive strength
ultimate strain
Bayesian inference
probabilistic prediction
url https://www.mdpi.com/2075-5309/15/10/1720
work_keys_str_mv AT fengcao probabilisticpredictionmodelforultimateconditionsundercompressionoffrpwrappedconcretecolumnsbasedonbayesianinference
AT ranzhu probabilisticpredictionmodelforultimateconditionsundercompressionoffrpwrappedconcretecolumnsbasedonbayesianinference
AT junxingzheng probabilisticpredictionmodelforultimateconditionsundercompressionoffrpwrappedconcretecolumnsbasedonbayesianinference
AT haibinhuang probabilisticpredictionmodelforultimateconditionsundercompressionoffrpwrappedconcretecolumnsbasedonbayesianinference
AT dongliang probabilisticpredictionmodelforultimateconditionsundercompressionoffrpwrappedconcretecolumnsbasedonbayesianinference