Sparse Bayesian learning for structural damage detection using expectation–maximization technique
Open accessAbstract
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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Hou et al. proposed an EM-based SBL method for damage detection.
“Hou et al. [216] proposed an EM-based SBL method for damage detection.”
From Review on the new development of vibration-based damage identification for civil engineering structures: 2010–2019 (2021) · cites this paper as [216]
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Self-citation
- 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
- green
- hdl.handle.net
- Licence
- 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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