Abstract
Deep learning techniques have been increasingly popular for detecting structural novelties in recent years. The deep learning notion originates from the theory of neural networks, and it comprises several machine learning approaches that were primarily created to solve high-dimensional and nonlinear problems due to their great data mapping capabilities. Although the basic ideas of such algorithms were established in the 1960s, their use in damage detection situations is still relatively new. In so doing, the current study assesses the Sparse Auto-Encoder (SAE) deep learning method when applied to the characterization of structural anomalies. The fundamental concept is to employ the SAE to extract significant features from monitored signals and the well-known Support Vector Machine (SVM) to classify those features within the framework of a Structural Health Monitoring (SHM) program. The proposed method is evaluated using vibration data from a numerical beam model and a highway viaduct in Brazil. The results demonstrate that the SAE can extract relevant properties from dynamic data, making it valuable for SHM applications.
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References
Yang, Y.B.; Yang, J.P.: State-of-the-art review on modal identification and damage detection of bridges by moving test vehicles. Int. J. Struct. Stab. Dyn. 18(02), 1850025 (2018)
Qing, X.; Li, W.; Wang, Y.; Sun, H.: Piezoelectric transducer-based structural health monitoring for aircraft applications. Sensors 19(3), 545 (2019)
Du, Y.; Zhou, S.; Jing, X.; Peng, Y.; Wu, H.; Kwok, N.: Damage detection techniques for wind turbine blades: A review. Mech. Syst. Signal Process. 141, 106445 (2020)
Bigoni, C.; Zhang, Z.; Hesthaven, J.S.: Systematic sensor placement for structural anomaly detection in the absence of damaged states. Comput. Methods Appl. Mech. Eng. 371, 113315 (2020)
Chalioris, C.E.; Kytinou, V.K.; Voutetaki, M.E.; Karayannis, C.G.: Flexural damage diagnosis in reinforced concrete beams using a wireless admittance monitoring system - tests and finite element analysis. Sensors 21(3), 679 (2021)
Nunes, L.A.; Amaral, R.P.F.; Barbosa, F.S.; Cury, A.C.: A hybrid learning strategy for structural damage detection. Struct. Health Monit. 20(4), 2143–2160 (2021)
Dan, J.; Feng, W.; Huang, X.; Wang, Y.: Global bridge damage detection using multi-sensor data based on optimized functional echo state networks. Struct. Health Monit. 20(4), 1924–1937 (2021)
Wah, W.S.L.; Chen, Y.T.; Owen, J.S.: A regression-based damage detection method for structures subjected to changing environmental and operational conditions. Eng. Struct. 228, 111462 (2021)
Azim, M.R.; Zhang, H.; Gl, M.: Damage detection of railway bridges using operational vibration data: theory and experimental verifications. Struct. Monitor. Maintenance 7(2), 149–166 (2020)
Ni, P.; Zhou, X.W.H.: Output-only structural damage detection under multiple unknown white noise excitations. Struct. Eng. Mech. 79(3), 327–336 (2021)
Doebling, S.W.; Farrar, C.R.; Prime, M.M.B.: A summary review of vibration-based damage identification methods. Shock Vib. Digest 30(2), 91–105 (1998)
Carden, E.P.; Fanning, P.: Vibration based condition monitoring: a review. Struct. Health Monit. 3(4), 355–377 (2004)
Fan, W.; Qiao, P.: Vibration-based damage identification methods: a review and comparative study. Struct. Health Monit. 10(1), 83–111 (2011)
Das, S.; Saha, P.; Patro, S.K.: Vibration-based damage detection techniques used for health monitoring of structures: A review. J. Civ. Struct. Heal. Monit. 6(3), 477–507 (2016)
Yang, C.; Oyadiji, S.O.: Damage detection using modal frequency curve and squared residual wavelet coefficients-based damage indicator. Mech. Syst. Signal Process. 83, 385–405 (2017)
Liu, G.; Zhai, Y.; Leng, D.; Tian, X.; Mu, W.: Research on structural damage detection of offshore platforms based on grouping modal strain energy. Ocean Eng. 140, 43–49 (2017)
Marrongelli, G.; Gentile, C.; Saisi, A.: Anomaly detection based on automated OMA and mode shape changes: application on a historic arch bridge. In Proceedings of ARCH 2019, 9th International Conference on Arch Bridges, Porto (2019)
Xia, Y.; Chen, B.; Weng, S.; Ni, Y.Q.; Xu, Y.L.: Temperature effect on vibration properties of civil structures: a literature review and case studies. J. Civ. Struct. Heal. Monit. 2(1), 29–46 (2012)
Zhou, G. D.; Yi, T. H.: A summary review of correlations between temperatures and vibration properties of long-span bridges. Mathematical Problems in Engineering, 638209 (2014)
Regni, M.; Arezzo, D.; Carbonari, S.; Gara, F.; Zonta, D.: Effect of environmental conditions on the modal response of a 10-story reinforced concrete tower. Shock and Vibration, 9476146 (2018)
Gillich, G.R.; Furdui, H.; Wahab, M.A.; Korka, Z.I.: A robust damage detection method based on multi-modal analysis in variable temperature conditions. Mech. Syst. Signal Process. 115, 361–379 (2019)
Morales, F.A.O.; Cury, A.; Peixoto, R.A.F.: Analysis of thermal and damage effects over structural modal parameters. Struct. Eng. Mech. 65(1), 43–51 (2019)
Amezquita-Sanchez, J.P.; Adeli, H.: Signal processing techniques for vibration-based health monitoring of smart structures. Arch. Comput. Methods Eng. 23(1), 1–15 (2016)
Almeida Cardoso, R.; Cury, A.; Barbosa, F.; Gentile, C.: Unsupervised real-time SHM technique based on novelty indexes. Struct. Control Health Monit. 26, e2364 (2019)
Salehi, H.; Burgueno, R.: Emerging artificial intelligence methods in structural engineering. Eng. Struct. 171, 170–189 (2018)
Finotti, R.P.; Cury, A.A.; Barbosa, F.S.: An SHM approach using machine learning and statistical indicators extracted from raw dynamic measurements. Latin Am. J. Solids Struct. 16(2), e165 (2019)
Zhang, Z.; Sun, C.: Structural damage identification via physics-guided machine learning: a methodology integrating pattern recognition with finite element model updating. Structural Health Monitoring, 1475921720927488 (2020)
Namuduri, S.; Narayanan, B.N.; Davuluru, V.S.P.; Burton, L.; Bhansali, S.: Review - deep learning methods for sensor based predictive maintenance and future perspectives for electrochemical sensors. J. Eletrochem. Soc. 167(3), 037552 (2020)
Crémona, C.; Santos, J.: Structural health monitoring as a big-data problem. Struct. Eng. Int. 28(3), 243–254 (2018)
Perez-Ramirez, C.A.; Amezquita-Sanchez, J.P.; Valtierra-Rodriguez, M.; Adeli, H.; Dominguez-Gonzalez, A.; Romero-Troncoso, R.J.: Recurrent neural network model with Bayesian training and mutual information for response prediction of large buildings. Eng. Struct. 178, 603–615 (2019)
Sun, L.; Shang, Z.; Xia, Y.; Bhowmick, S.; Nagarajaiah, S.: Review of bridge structural health monitoring aided by big data and artificial intelligence: From condition assessment to damage detection. J. Struct. Eng. 146(5), 04020073 (2020)
Lei, Y.; Zhang, Y.; Mi, J.; Liu, W.; Liu, L.: Detecting structural damage under unknown seismic excitation by deep convolutional neural network with wavelet-based transmissibility data. Structural Health Monitoring, 1475921720923081 (2020)
Pathirage, C.S.N.; Li, J.; Li, L.; Hao, H.; Liu, W.; Wang, R.: Development and application of a deep learning-based sparse autoencoder framework for structural damage identification. Struct. Health Monit. 18(1), 103–122 (2019)
Shang, Z.; Sun, L.; Xia, Y.; Zhang, W.: Vibration-based damage detection for bridges by deep convolutional denoising autoencoder. Structural Health Monitoring, 1475921720942836 (2020)
Ma, X.; Lin, Y.; Nie, Z.; Ma, H.: Structural damage identification based on unsupervised feature-extraction via variational auto-encoder. Measurement, 107811 (2020)
Goodfellow, I.; Bengio, Y.; Courville, A.: Deep Learning. MIT Press, Cambridge (2016)
Cury, A.; Crémona, C.: Pattern recognition of structural behaviors based on learning algorithms and symbolic data concepts. Struct. Control. Health Monit. 19(2), 161–186 (2012)
Finotti, R.; Bonifacio, A.; Barbosa, F.; Cury, A.: Evaluation of computational intelligence methods using statistical analysis to detect structural damage. Mecánica Computacional 24, 1389–1397 (2016)
Almeida Cardoso, R.; Cury, A.; Barbosa, F.: Automated real-time damage detection strategy using raw dynamic measurements. Eng. Struct. 196, 109364 (2019)
Luo, H.; Huang, M.; Zhou, Z.: A dual-tree complex wavelet enhanced convolutional LSTM neural network for structural health monitoring of automotive suspension. Measurement 137, 14–27 (2019)
Abdeljaber, O.; Avci, O.; Kiranyaz, S.; Gabbouj, M.; Inman, D.J.: Real-time vibration-based structural damage detection using one-dimensional convolutional neural networks. J. Sound Vib. 388, 154–170 (2017)
Bao, Y.; Tang, Z.; Li, H.; Zhang, Y.: Computer vision and deep learning-based data anomaly detection method for structural health monitoring. Struct. Health Monit. 18(2), 401–421 (2019)
Bishop, C.M.: Pattern Recognition and Machine Learning. Springer, New York (2006)
Vapnik, V.: The Nature of Statistical Learning Theory. Springer Verlag, New York (2013)
Møller, M.F.: A scaled conjugate gradient algorithm for fast supervised learning. Neural Netw. 6(4), 525–533 (1993)
Ng, A.: Sparse autoencoder. CS294A Lecture notes, 72: 1–19 (2011)
Hsu, C.W.; Chang, C.C.; Lin, C.J.: A practical guide to support vector classification. (2003)
Kohavi, R.: A study of cross-validation and bootstrap for accuracy estimation and model selection. In Proceedings of the 14th International Joint Conference on Artificial Intelligence - IJCAI, 14(2): 1137–1145 (1995)
De Moraes, M.C.; Buth, I.S.; Da Luz, C.A.; Langaro, E.A.; Medeiros, M.H.F.: Alkali-activated cement subject to alkali-aggregate reaction. ACI Mater. J. 118(5), 137–147 (2021)
Japkowicz, N.; Stephen, S.: The class imbalance problem: A systematic study. Intelligent data analysis 6(5), 429–449 (2002)
Acknowledgements
The authors would like to thank CAPES (Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, PROCAD “88881.068530/2014-0”), CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico—Grants “407297/2021-9-PQ” and “311576/2018-4-PQ”), FAPEMIG (Fundação de Amparo à Pesquisa—projects “PPM-00106-17” and “PPM-0001-18”), UFJF (Universidade Federal de Juiz de Fora) and UFPB (Universidade Federal da Paraíba) for the financial support. Furthermore, the help of C. Teodoro, G. Ferreira and M. Araújo in collecting data from the Várzea Nova viaduct is fully acknowledged.
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Finotti, R.P., Barbosa, F.d., Cury, A.A. et al. Novelty Detection Using Sparse Auto-Encoders to Characterize Structural Vibration Responses. Arab J Sci Eng 47, 13049–13062 (2022). https://doi.org/10.1007/s13369-022-06732-6
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DOI: https://doi.org/10.1007/s13369-022-06732-6