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A statistical influence line identification method using Bayesian regularization and a polynomial interpolating function
Zhi-Wei Chen1,2; Long Zhao1; Wang-Ji Yan3,4; Ka-Veng Yuen3,4; Chen Wu5
2022-11
Source PublicationStructural Control & Health Monitoring
ISSN1545-2255
Volume29Issue:11Pages:e3080
Abstract

As inherent characteristics of bridge structures, influence lines have been successfully applied in the fields of model updating, damage detection, and condition evaluation. The fast and accurate identification of a bridge influence line (BIL) is the premise and foundation of the above applications. BIL identification can be regarded as a typically ill-posed problem for which it is usually necessary to establish a regularization model to identify the model parameters and reconstruct the BIL. In this study, a BIL identification method that can automatically determine the regularization coefficient and quantify the uncertainties of BIL identification results is proposed. To accommodate the uncertainties involved in the measurements as well as the modeling error, an interpolation function-aided influence line model is embedded into the Bayesian framework with Gaussian prior distribution. The most probable values (MPVs) and variance of the interpolation function coefficients are derived analytically and then further used to infer the posterior probability density function of the influence line. Numerical example of a concrete continuous beam and field test for a box girder bridge show the accuracy, efficiency and qualitative evaluation of the proposed method. The results indicate that Bayesian regularization can be used to select the optimal regularization coefficient more accurately and effectively than traditional methods. More importantly, the uncertainty quantification for the influence line can qualitatively reflect the accuracy of the results as well as the effects of the parameters of the BIL identification model. 

KeywordBayesian Analysis Bil Identification Regularization Technique Structural Health Monitoring Uncertainty Quantification
DOI10.1002/stc.3080
URLView the original
Indexed BySCIE
WOS Research AreaConstruction & Building Technology ; Engineering ; Instruments & Instrumentation
WOS SubjectConstruction & Building Technology ; Engineering, Civil ; Instruments & Instrumentation
WOS IDWOS:000846468500001
Scopus ID2-s2.0-85136693365
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Document TypeJournal article
CollectionFaculty of Science and Technology
THE STATE KEY LABORATORY OF INTERNET OF THINGS FOR SMART CITY (UNIVERSITY OF MACAU)
Corresponding AuthorZhi-Wei Chen; Wang-Ji Yan
Affiliation1.Department of Civil Engineering, Xiamen University, Xiamen, China
2.Fujian Key Laboratory of Digital Simulations for Coastal Civil Engineering, Xiamen, China
3.State Key Laboratory of Internet ofThings for Smart City and Department of Civil and Environmental Engineering, University of Macau, Macau, China
4.Guangdong–Hong Kong-Macau Joint Laboratory for Smart Cities, University of Macau, Macau, China
5.School of Civil Engineering, Fujian University of Technology, Fuzhou, China
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Zhi-Wei Chen,Long Zhao,Wang-Ji Yan,et al. A statistical influence line identification method using Bayesian regularization and a polynomial interpolating function[J]. Structural Control & Health Monitoring, 2022, 29(11), e3080.
APA Zhi-Wei Chen., Long Zhao., Wang-Ji Yan., Ka-Veng Yuen., & Chen Wu (2022). A statistical influence line identification method using Bayesian regularization and a polynomial interpolating function. Structural Control & Health Monitoring, 29(11), e3080.
MLA Zhi-Wei Chen,et al."A statistical influence line identification method using Bayesian regularization and a polynomial interpolating function".Structural Control & Health Monitoring 29.11(2022):e3080.
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