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An efficient Expectation-Maximization algorithm for Bayesian operational modal analysis with physics-data fusion model

delete2025-07-24
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PRE
AI
Y
Yichen Zhu *
Z
Zhenhua Pan
H
Hao Di
DOI:10.1016/j.ymssp.2025.113144delete
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Abstract

Abstract

En 中文
Operational Modal Analysis (OMA) is widely used in Structural Health Monitoring (SHM), to identify structural dynamic properties which are critical for evaluating structural integrity and safety. Considering the interference of environmental effects, physics-data fusion models are introduced to enhance the robustness of parameter identification. However, these models usually couple ambient and dynamic variables and require large amounts of monitoring data, resulting in high computational costs. To address these issues in fusion models, this paper proposes a novel method that allows the environmental impact to be addressed separately, reducing model dimensionality. The Taylor approximation is then applied to derive an approximate distribution during the inference process, enabling the efficient identification of modal parameters as well as the hyperparameters of the Gaussian Process model in a computationally feasible manner. The Expectation-Maximization (EM) algorithm is used as the iterative method to facilitate the computational feasibility and robustness of the proposed method. Validation using synthetic data and real-world monitoring data from a long-span cable-stayed bridge demonstrates that the proposed method outperforms a previous approach, FM-MCI, by achieving superior computational efficiency and delivering more consistent identification results. Furthermore, the method effectively captures the correlation between environmental effects and structural responses, offering a robust solution for modal parameter identification under varying environmental conditions.
Keywords:
Operational Modal Analysis
Structural Health Monitoring
Physics-data fusion
Gaussian Process
Expectation-Maximization algorithm

Journal

Mechanical Systems and Signal Processing cover
Mechanical Systems and Signal Processing
IF:
8.9
Papers:
1.3W
Citations:
6.6W

Organization

C
china railway shanghai group co., ltd
Scholars:
1
Papers: 1
Citations: 0
C
china railway design corporation
Scholars:
75
Papers: 57
Citations: 0
S
Southeast University
Scholars:
1.9W
Papers: 8.2K
Citations: 480
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