An IPNN-Based Parameter Identification Method for a Vibration Sensor Sensitivity Model

Vibration sensors, as critical components in motion control and measurement systems, have dynamic characteristics that directly affect measurement accuracy. However, existing sensitivity models, due to structural simplifications and parameter uncertainties, hinder conventional vibration and shock calibration methods from fully characterizing their dynamic performance. In addition, traditional parameter identification approaches are often noise-sensitive and lack interpretability, making them inadequate for high-precision applications. To address these challenges, this study proposes an Algorithm-Unrolled Interpretable Physics-Informed Neural Network (IPNN) for parameter identification of a vibration sensor sensitivity model. By integrating the physical characteristics of the sensors with vibration calibration data, the method enables high-precision parameter identification and interpretable dynamic modeling. Comparative experimental results show that the proposed IPNN reduces the RMSE of sensor voltage predictions by over 60% compared with GRU and LSTM and decreases the average full-frequency relative deviation from laser interferometry calibration results by approximately 65% relative to LSM.

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Publication Details

Journal
Mathematics
Published
2025-11-11
DOI
https://doi.org/10.3390/math13223609
Primary Topic
Structural Health Monitoring Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

An IPNN-Based Parameter Identification Method for a Vibration Sensor Sensitivity Model

Ming Bo Yang, K. Yao, Chenguang Cai, Honglong Li et al.
Mathematics
Structural Health Monitoring Techniques
article

An IPNN-Based Parameter Identification Method for a Vibration Sensor Sensitivity Model

Ming Bo Yang, K. Yao, Chenguang Cai, Honglong Li, Zhihua Liu, Jun Pan
article en

Abstract

Vibration sensors, as critical components in motion control and measurement systems, have dynamic characteristics that directly affect measurement accuracy. However, existing sensitivity models, due to structural simplifications and parameter uncertainties, hinder conventional vibration and shock calibration methods from fully characterizing their dynamic performance. In addition, traditional parameter identification approaches are often noise-sensitive and lack interpretability, making them inadequate for high-precision applications. To address these challenges, this study proposes an Algorithm-Unrolled Interpretable Physics-Informed Neural Network (IPNN) for parameter identification of a vibration sensor sensitivity model. By integrating the physical characteristics of the sensors with vibration calibration data, the method enables high-precision parameter identification and interpretable dynamic modeling. Comparative experimental results show that the proposed IPNN reduces the RMSE of sensor voltage predictions by over 60% compared with GRU and LSTM and decreases the average full-frequency relative deviation from laser interferometry calibration results by approximately 65% relative to LSM.

MathematicsVol. 13(22)
Guizhou University of Finance and Economics (CN), Guizhou University (CN), Institute of Mechanics (CN), National Institute of Metrology (CN)
National Office for Philosophy and Social Sciences
Openalex Percentile: Top 65%
Structural Health Monitoring Techniques
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