Uncertainty-Based Fusion Method for Structural Modal Parameter Identification

The structural modal parameter identification method can be classified into time-domain and frequency-domain methods. Practically, two types of methods are characterized by different advantages, and the estimated modal parameters are always subjected to statistical uncertainties due to measurement n...

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Main Authors: Xiaoteng Liu, Zirui Dong, Hongxia Ji, Zhenjiang Yue, Jie Kang
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Sensors
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Online Access:https://www.mdpi.com/1424-8220/25/14/4397
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author Xiaoteng Liu
Zirui Dong
Hongxia Ji
Zhenjiang Yue
Jie Kang
author_facet Xiaoteng Liu
Zirui Dong
Hongxia Ji
Zhenjiang Yue
Jie Kang
author_sort Xiaoteng Liu
collection DOAJ
description The structural modal parameter identification method can be classified into time-domain and frequency-domain methods. Practically, two types of methods are characterized by different advantages, and the estimated modal parameters are always subjected to statistical uncertainties due to measurement noise. In this work, an uncertainty-based fusion method for structural mode identification is proposed to merge the advantages of different methods. The extensively applied time-domain AutoRegressive (AR) and frequency-domain Left-Matrix Fraction (LMF) models are expressed in a unified parametric model. With this unified model, a generalized framework is developed to identify the modal parameters of structures and compute variances associated with modal parameter estimates. The final modal parameter estimates are computed as the inverse-variance weighted sum of the results identified from different methods. A numerical and an experimental example demonstrate that the proposed method can obtain reliable modal parameter estimates, substantially mitigating the occurrence of extremely large estimation errors. Furthermore, the fusion method demonstrates enhanced identification capabilities, effectively reducing the likelihood of missing structural modes.
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institution Kabale University
issn 1424-8220
language English
publishDate 2025-07-01
publisher MDPI AG
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series Sensors
spelling doaj-art-dc5704f218b241788ad7bbfe16bfd52a2025-08-20T03:32:28ZengMDPI AGSensors1424-82202025-07-012514439710.3390/s25144397Uncertainty-Based Fusion Method for Structural Modal Parameter IdentificationXiaoteng Liu0Zirui Dong1Hongxia Ji2Zhenjiang Yue3Jie Kang4College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaShanghai Institute of Spacecraft Equipment, Shanghai 201109, ChinaShanghai Institute of Spacecraft Equipment, Shanghai 201109, ChinaIntelligent Science and Technology Academy of CASIC, Beijing 100043, ChinaCollege of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaThe structural modal parameter identification method can be classified into time-domain and frequency-domain methods. Practically, two types of methods are characterized by different advantages, and the estimated modal parameters are always subjected to statistical uncertainties due to measurement noise. In this work, an uncertainty-based fusion method for structural mode identification is proposed to merge the advantages of different methods. The extensively applied time-domain AutoRegressive (AR) and frequency-domain Left-Matrix Fraction (LMF) models are expressed in a unified parametric model. With this unified model, a generalized framework is developed to identify the modal parameters of structures and compute variances associated with modal parameter estimates. The final modal parameter estimates are computed as the inverse-variance weighted sum of the results identified from different methods. A numerical and an experimental example demonstrate that the proposed method can obtain reliable modal parameter estimates, substantially mitigating the occurrence of extremely large estimation errors. Furthermore, the fusion method demonstrates enhanced identification capabilities, effectively reducing the likelihood of missing structural modes.https://www.mdpi.com/1424-8220/25/14/4397operational modal analysisuncertainty quantificationdata fusionAutoRegressive modelLeft-Matrix Fraction model
spellingShingle Xiaoteng Liu
Zirui Dong
Hongxia Ji
Zhenjiang Yue
Jie Kang
Uncertainty-Based Fusion Method for Structural Modal Parameter Identification
Sensors
operational modal analysis
uncertainty quantification
data fusion
AutoRegressive model
Left-Matrix Fraction model
title Uncertainty-Based Fusion Method for Structural Modal Parameter Identification
title_full Uncertainty-Based Fusion Method for Structural Modal Parameter Identification
title_fullStr Uncertainty-Based Fusion Method for Structural Modal Parameter Identification
title_full_unstemmed Uncertainty-Based Fusion Method for Structural Modal Parameter Identification
title_short Uncertainty-Based Fusion Method for Structural Modal Parameter Identification
title_sort uncertainty based fusion method for structural modal parameter identification
topic operational modal analysis
uncertainty quantification
data fusion
AutoRegressive model
Left-Matrix Fraction model
url https://www.mdpi.com/1424-8220/25/14/4397
work_keys_str_mv AT xiaotengliu uncertaintybasedfusionmethodforstructuralmodalparameteridentification
AT ziruidong uncertaintybasedfusionmethodforstructuralmodalparameteridentification
AT hongxiaji uncertaintybasedfusionmethodforstructuralmodalparameteridentification
AT zhenjiangyue uncertaintybasedfusionmethodforstructuralmodalparameteridentification
AT jiekang uncertaintybasedfusionmethodforstructuralmodalparameteridentification