An enhanced Bayesian approach for damage identification utilizing prior knowledge from refined elemental modal strain energy ratios

Abstract This study proposes a novel Bayesian damage identification method that uses an Improved Elemental Modal Strain Energy Ratio (IEMSER) to guide a sparse prior distribution. Measured frequencies and mode shapes develop the IEMSER indicator for preliminary damage assessment, forming the basis f...

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Main Authors: Li Chen, Hui Chen, Lu-ling Liu
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-024-84315-1
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author Li Chen
Hui Chen
Lu-ling Liu
author_facet Li Chen
Hui Chen
Lu-ling Liu
author_sort Li Chen
collection DOAJ
description Abstract This study proposes a novel Bayesian damage identification method that uses an Improved Elemental Modal Strain Energy Ratio (IEMSER) to guide a sparse prior distribution. Measured frequencies and mode shapes develop the IEMSER indicator for preliminary damage assessment, forming the basis for a sparse prior distribution. Using the sparse prior and initial damage estimates, Markov Chain Monte Carlo (MCMC) sampling computes the posterior Probability Density Functions (PDFs) of damage parameters to determine the Maximum A Posteriori (MAP) estimates. The proposed method better utilizes the advantages of prior information in the Bayesian method, making the identified damage more accurate. A numerical case of a steel truss bridge shows that IEMSER’s preliminary damage estimates closely match actual damage, yielding a reliable sparse prior and significantly improving identification accuracy. The method’s effectiveness is further validated using modal test data from an 18-story frame structure, confirming its applicability to real structures.
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institution Kabale University
issn 2045-2322
language English
publishDate 2025-01-01
publisher Nature Portfolio
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series Scientific Reports
spelling doaj-art-adf29017cc9d4e8a9d46ffbfc67213a82025-01-05T12:16:56ZengNature PortfolioScientific Reports2045-23222025-01-0115111710.1038/s41598-024-84315-1An enhanced Bayesian approach for damage identification utilizing prior knowledge from refined elemental modal strain energy ratiosLi Chen0Hui Chen1Lu-ling Liu2School of Computer Science and Engineering Artificial Intelligence, Wuhan Institute of TechnologyCollege of Post and Telecommunication, Wuhan Institute of TechnologyCollege of Post and Telecommunication, Wuhan Institute of TechnologyAbstract This study proposes a novel Bayesian damage identification method that uses an Improved Elemental Modal Strain Energy Ratio (IEMSER) to guide a sparse prior distribution. Measured frequencies and mode shapes develop the IEMSER indicator for preliminary damage assessment, forming the basis for a sparse prior distribution. Using the sparse prior and initial damage estimates, Markov Chain Monte Carlo (MCMC) sampling computes the posterior Probability Density Functions (PDFs) of damage parameters to determine the Maximum A Posteriori (MAP) estimates. The proposed method better utilizes the advantages of prior information in the Bayesian method, making the identified damage more accurate. A numerical case of a steel truss bridge shows that IEMSER’s preliminary damage estimates closely match actual damage, yielding a reliable sparse prior and significantly improving identification accuracy. The method’s effectiveness is further validated using modal test data from an 18-story frame structure, confirming its applicability to real structures.https://doi.org/10.1038/s41598-024-84315-1Damage identificationBayesianModal strain energy ratioSparse prior
spellingShingle Li Chen
Hui Chen
Lu-ling Liu
An enhanced Bayesian approach for damage identification utilizing prior knowledge from refined elemental modal strain energy ratios
Scientific Reports
Damage identification
Bayesian
Modal strain energy ratio
Sparse prior
title An enhanced Bayesian approach for damage identification utilizing prior knowledge from refined elemental modal strain energy ratios
title_full An enhanced Bayesian approach for damage identification utilizing prior knowledge from refined elemental modal strain energy ratios
title_fullStr An enhanced Bayesian approach for damage identification utilizing prior knowledge from refined elemental modal strain energy ratios
title_full_unstemmed An enhanced Bayesian approach for damage identification utilizing prior knowledge from refined elemental modal strain energy ratios
title_short An enhanced Bayesian approach for damage identification utilizing prior knowledge from refined elemental modal strain energy ratios
title_sort enhanced bayesian approach for damage identification utilizing prior knowledge from refined elemental modal strain energy ratios
topic Damage identification
Bayesian
Modal strain energy ratio
Sparse prior
url https://doi.org/10.1038/s41598-024-84315-1
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