Cited by 49Structural Health Monitoring TechniquesControl Systems and IdentificationUltrasonics and Acoustic Wave Propagation

Sparse Bayesian learning for structural damage detection using expectation–maximization technique

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Hou, Rongrong, Xia, Yong, Zhou, Xiaoqing, Huang, Yong·2019·Structural Control and Health Monitoring

Abstract

Sparse Bayesian learning (SBL) methods have been developed and applied in the context of regression and classification, in which latent variables and hyperparameters are iteratively obtained using type-II maximization likelihood. However, this method is ineffective in structural damage detection using modal parameters, which have a nonlinear relation with structural damage. Consequently, the analytical solution of the type-II maximization likelihood is unavailable. In this study, an iterative expectation–maximization (EM) technique is employed to tackle the difficulty. During the iteration, structural damage and hyperparameters are updated through an expectation and maximization processes alternatively. Two sampling methods are utilized during the expectation procedure. Upon convergence, some hyperparameters approach infinity and the associated damage variables become zero, resulting in the sparsity of damage. Numerical and experimental examples demonstrate that the proposed SBL method can accurately locate and quantify the sparse damage. The proposed EM technique is easy to implement while also containing clear physical meaning.

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Crossref · 10.1002/stc.2343

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Authors
Hou, R., Xia, Y., Zhou, X., & Huang, Y.
Affiliations
  • Hong Kong Polytechnic University (HK)
  • Shenzhen University (CN)
  • Harbin Institute of Technology (CN)
Corresponding author
Xia, Yong
Venue
Structural Control and Health Monitoring
Publisher
Wiley
Published
2019-02-18
Volume
26
Issue
5
Pages
e2343
ISSN
  • 1545-2255 (ISSN-L)
  • 1545-2263
OpenAlex
W2915864118
Cited by
49
References
53
Citations by year
2026: 5 · 2025: 11 · 2024: 6 · 2023: 9 · 2022: 6 · 2021: 5 · 2020: 5 · 2019: 2
FWCI
3.37
Type
journal article
Language
en
Open access
Locations
  • Structural Control and Health Monitoring (publishedVersion)
  • PolyU Institutional Research Archive (Hong Kong Polytechnic University) (submittedVersion)
Funders
National Natural Science Foundation of China (51678364)
Topics
  • Physical Sciences › Engineering › Civil and Structural Engineering › Structural Health Monitoring Techniques
  • Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
  • Physical Sciences › Engineering › Mechanics of Materials › Ultrasonics and Acoustic Wave Propagation
Keywords
sparse Bayesian learning, structural damage detection, expectation-maximization algorithm, modal parameters, hyperparameter estimation, damage localization, damage quantification, sampling methods

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