Damage Localization Using Fiber Bragg Grating Sensors in Self-referencing Conguration: A Numerical Study
Abstract
This study investigates a self-referencing method for damage detection and localization using guided waves (GW) sensed by fiber Bragg grating (FBG) sensors. The research integrates advanced numerical simulations with an innovative configuration of sensors to enhance structural health monitoring (SHM). A self-referencing setup, employing FBG sensors with edge filtering method and remote bonding, enables a baseline-free damage detection approach. The methodology is validated as a proof-of-concept numerical model. The simulation framework incorporates a three-dimensional spectral element method for precise and efficient modelling of GW propagation and interactions with structural anomalies. Three different machine learning (ML) techniques are employed to detect and localize damages, demonstrating effectiveness of ML methods compared to traditional methods.
The three techniques employed are decision tree, logistic model tree and random forest. Key findings highlight the effectiveness of random forest models in classifying damage states with a 98.67% accuracy. Different feature selection methods, are used to identify critical features. The proposed methodology reduces sensor requirements, lowers system complexity and cost, and enables efficient SHM solutions in extreme or large-scale environments. This work underscores the potential of ML techniques to perform detection and localization where traditional techniques fail.
Keywords:
guided waves (GW), fiber Bragg grating (FBG) sensors, damage detection, self-referencing method, machine learning (ML) referencing method, numerical simulationReferences
[1] A. Ghadami, A. Maghsoodi, H. Mirdamadi, A new adaptable multiple-crack detection algorithm in beam-like structures, Archives of Mechanics, 65(6): 469–483, 2013.
[2] A. Kakei, J. Epaarachchi, M. Islam, J. Leng, Evaluation of delamination crack tip in woven fibre glass reinforced polymer composite using FBG sensor spectra and thermo-elastic response, Measurement, 122: 178–185, 2018, https://doi.org/10.1016/j.measurement.2018.03.023.
[3] S. Sawant, A. Sethi, S. Banerjee, S. Tallur, Unsupervised learning framework for temperature compensated damage identification and localization in ultrasonic guided wave SHM with transfer learning, Ultrasonics, 130: 106931, 2023, https://doi.org/10.1016/j.ultras.2023.106931.
[4] B.A. de Castro, F.G. Baptista, F. Ciampa, New signal processing approach for structural health monitoring in noisy environments based on impedance measurements, Measurement, 137: 155–167, 2019, https://doi.org/10.1016/j.measurement.2019.01.054.
[5] Q. Bao, T. Xie, W. Hu, K. Tao, Q. Wang, Multi-type damage localization using the scattering coefficient-based RAPID algorithm with damage indexes separation and imaging fusion, Structural Health Monitoring, 23(3): 1592–1605, 2024, https://doi.org/10.1177/14759217231191267.
[6] S. Cantero-Chinchilla, J. Chiachío, M. Chiachío, D. Chronopoulos, A. Jones, A robust Bayesian methodology for damage localization in plate-like structures using ultrasonic guided-waves, Mechanical Systems and Signal Processing, 122: 192–205, 2019, https://doi.org/10.1016/j.ymssp.2018.12.021.
[7] S. Sampath, H. Sohn, Detection and localization of fatigue crack using nonlinear ultrasonic three-wave mixing technique, International Journal of Fatigue, 155: 106582, 2022, https://doi.org/10.1016/j.ijfatigue.2021.106582.
[8] P. Kashyap, K. Shivgan, S. Patil, B. R. Raja, S. Mahajan, S. Banerjee, S. Tallur, Unsupervised deep learning framework for temperature-compensated damage assessment using ultrasonic guided waves on edge device, Scientific Reports, 14(1): 3751, 2024, https://doi.org/10.1038/s41598-024-54418-w.
[9] V. Nerlikar, O. Mesnil, R. Miorelli, O. d'Almeida, Damage detection with ultrasonic guided waves using machine learning and aggregated baselines, Structural Health Monitoring, 23(1): 443–462, 2024, https://doi.org/10.1177/14759217231169719.
[10] F. Ricci, E. Monaco, N.D. Boffa, L. Maio, V. Memmolo, Guided waves for structural health monitoring in composites: A review and implementation strategies, Progress in Aerospace Sciences, 129: 100790, 2022, https://doi.org/10.1016/j.paerosci.2021.100790.
[11] Z. Yang et al., A review on guided-ultrasonic-wave-based structural health monitoring: From fundamental theory to machine learning techniques, Ultrasonics, 133: 107014, 2023, https://doi.org/10.1016/j.ultras.2023.107014.
[12] H. Zhu, Z.S. Khodaei, F.M. Aliabadi, Appraisal of linear baseline-free techniques for guided wave based structural health monitoring, Ultrasonics, 144: 107445, 2024, https://doi.org/10.1016/j.ultras.2024.107445.
[13] M. Mitra, S. Gopalakrishnan, Guided wave based structural health monitoring: A review, Smart Materials and Structures, 25(5): 053001, 2016, https://doi.org/10.1088/0964-1726/25/5/053001.
[14] M. Caponero, Use of FBG sensors in advanced civil engineering applications, Journal of Instrumentation, 18(07): C07020, 2023, https://doi.org/10.1088/1748-0221/18/07/C07020.
[15] B. Wang, W. Sun, H. Wang, Y. Wan, T. Xu, Location determination of impact on the wind turbine blade surface based on the FBG and the time difference, Sensors, 21(1): 232, 2021, https://doi.org/10.3390/s21010232.
[16] M. Mieloszyk, K. Majewska, W. Ostachowicz, Application of embedded fibre Bragg grating sensors for structural health monitoring of complex composite structures for marine applications, Marine Structures, 76: 102903, 2021, https://doi.org/10.1016/j.marstruc.2020.102903.
[17] T. Juwet, G. Luyckx, A. Lamberti, F. Creemers, E. Voet, J. Missinne, Monitoring of composite structures for re-usable space applications using FBGs: The influence of low Earth orbit conditions, Sensors, 24(1): 306, 2024, https://doi.org/10.3390/s24010306.
[18] J. Wee, J.M. Kim, K. Peters, Acoustic-optical interactions in optical fiber sensors for ultrasonic inspection of structures, [in:] OSA Optical Sensors and Sensing Congress 2021, S. Buckley et al. [Eds.], paper STu2B.1, OSA Technical Digest, Optica Publishing Group, 2021.
[19] C.S. Marashi, P. Bradford, K. Peters, Laser Doppler vibrometry measurements of acoustic attenuation in optical fiber waveguides, Applied Optics, 62(16): E119–E124, 2023, https://doi.org/10.1364/AO.483827.
[20] F. Yu, O. Saito, Y. Okabe, An ultrasonic visualization system using a fiber-optic Bragg grating sensor and its application to damage detection at a temperature of 1000 °C, Mechanical Systems and Signal Processing, 147: 107140, 2021, https://doi.org/10.1016/j.ymssp.2020.107140.
[21] R. Soman, J.M. Kim, S. Aiton, K. Peters, Guided waves based damage localization using acoustically coupled optical fibers and a single fiber Bragg grating sensor, Measurement, 203: 111985, 2022, https://doi.org/10.1016/j.measurement.2022.111985.
[22] J. Wee, K. Alexander, K. Peters, Self-referencing ultrasound detection of fiber Bragg grating sensor remotely bonded at two locations, [in:] Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2020, Vol. 11379, pp. 190–195, SPIE, 2020, https://doi.org/10.1117/12.2559252.
[23] J. Wee, K. Alexander, K. Peters, Self-referencing ultrasound detection of fiber Bragg grating sensor with two adhesive bonds, Measurement Science and Technology, 32(10): 105115, 2021, https://doi.org/10.1088/1361-6501/ac065c.
[24] P. Fiborek, R. Soman, P. Kudela, W. Ostachowicz, Spectral element modeling of ultrasonic guided wave propagation in optical fibers, Ultrasonics, 124: 106746, 2022, https://doi.org/10.1016/j.ultras.2022.106746.
[25] J. Wee, D. Hackney, P. Bradford, K. Peters, Simulating increased lamb wave detection sensitivity of surface bonded fiber Bragg grating, Smart Materials and Structures, 26(4): 045034, 2017, https://doi.org/10.1088/1361-665X/aa646b.
[26] M. Goubeaud, P. Jouβen, N. Gmyrek, F. Ghorban, A. Kummert, White noise windows: data augmentation for time series, [in:] 2021 7th International Conference on Optimization and Applications (ICOA), pp. 1–5, IEEE, 2021.
[27] H. Chen, K. Xu, Z. Liu, D. Ta, Ellipse of uncertainty based algorithm for quantitative evaluation of defect localization using Lamb waves, Ultrasonics, 125: 106802, 2022, https://doi.org/10.1016/j.ultras.2022.106802.
[28] Z. Zhang, H. Pan, X. Wang, Z. Lin, Machine learning-enriched lamb wave approaches for automated damage detection, Sensors, 20(6): 1790, 2020, https://doi.org/10.3390/s20061790.
[29] G. Park, H.H. Cudney, D.J. Inman, Impedance-based health monitoring of civil structural components, Journal of Infrastructure Systems, 6(4): 153–160, 2000, https://doi.org/10.1061/(ASCE)1076-0342(2000)6:4(153).
[30] A. Sanju, A.D. Patange, A.M. Rahalkar, R. Soman, Notifying type-2 error and segregating undefined conditions in health monitoring of milling cutter: A statistical and deep learning approach, Journal of Vibration Engineering & Technologies, 13(1): 1–18, 2025, https://doi.org/10.1007/s42417-024-01706-4.