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Transmissibility-based Damage Detection with Hierarchical Clustering Enhanced by Multivariate Probabilistic Distance Accommodating Uncertainty and Correlation
MEI LINFENG1,2; YAN WANGJI1,2; YUEN KAVENG1,2; REN WEI-XIN3; BEER MICHAEL4,5,6
2023-08-31
Source PublicationMechanical Systems and Signal Processing
ISSN0888-3270
Volume203Pages:110702
Abstract
This paper proposes a new damage detection method by integrating the advantage of transmissibility function (TF) as a health index sensitive to damage but robust to excitation and agglomerative hierarchical clustering (AHC) with intuitive explanation and visualization but avoiding specifying the number of clusters. Different from conventional AHC-based damage detection methods utilizing deterministic distance as a similarity metric and ignoring the distribution of structural features, a multivariate probabilistic distance-based similarity metric is proposed in this study to account for the uncertainty and correlation of multiple TFs following multivariate complex-valued Gaussian ratio distribution. To realize this, an analytically tractable approximation of the multivariate probabilistic distance is derived by Laplace’s asymptotic expansion to avoid high-dimensional numerical integration. To accelerate the computation of probabilistic distances over a wide frequency band that are fused to formulate the similarity metric in AHC, a function vectorization scheme is proposed to avoid the time-consuming loop operation among different frequency points. A threshold is established via bootstrapped Monte Carlo simulation to cut the dendrogram produced by AHC. Two case studies are used to validate the performance of the proposed method, indicating that, compared to the damage detection methods based on the deterministic distance of the TF, the proposed method exhibits better performance due to improving the similarity metric based on multivariate probabilistic distance properly accommodating the correlation of different TFs.
KeywordTransmissibility Hierarchical Clustering Probabilistic Distance Multivariate Distribution Damage Detection
DOI10.1016/j.ymssp.2023.110702
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaEngineering
WOS SubjectEngineering, Mechanical
WOS IDWOS:001072019300001
PublisherACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD, 24-28 OVAL RD, LONDON NW1 7DX, ENGLAND
Scopus ID2-s2.0-85169977391
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Document TypeJournal article
CollectionDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
Faculty of Science and Technology
THE STATE KEY LABORATORY OF INTERNET OF THINGS FOR SMART CITY (UNIVERSITY OF MACAU)
Corresponding AuthorYAN WANGJI
Affiliation1.State Key Laboratory of Internet of Things for Smart City and Depart of Civil and Environmental Engineering, University of Macau
2.Guangdong–Hong Kong-Macau Joint Laboratory for Smart Cities, China
3.College of Civil and Transportation Engineering, Shenzhen University, Shenzhen, China
4.Leibniz Universitat ¨ Hannover, Institute for Risk and Reliability, Hannover, Germany
5.University of Liverpool, Institute for Risk and Uncertainty, Peach Street, L69 7ZF Liverpool, United Kingdom
6.Tsinghua University, Department of Civil Engineering, Beijing, China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
MEI LINFENG,YAN WANGJI,YUEN KAVENG,et al. Transmissibility-based Damage Detection with Hierarchical Clustering Enhanced by Multivariate Probabilistic Distance Accommodating Uncertainty and Correlation[J]. Mechanical Systems and Signal Processing, 2023, 203, 110702.
APA MEI LINFENG., YAN WANGJI., YUEN KAVENG., REN WEI-XIN., & BEER MICHAEL (2023). Transmissibility-based Damage Detection with Hierarchical Clustering Enhanced by Multivariate Probabilistic Distance Accommodating Uncertainty and Correlation. Mechanical Systems and Signal Processing, 203, 110702.
MLA MEI LINFENG,et al."Transmissibility-based Damage Detection with Hierarchical Clustering Enhanced by Multivariate Probabilistic Distance Accommodating Uncertainty and Correlation".Mechanical Systems and Signal Processing 203(2023):110702.
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