Abstract
This study proposes a deep neural network-based impact locating method on a cantilever beam. The power spectrum of a measured acceleration signal, when an impact is exerted at an arbitrary location on the beam, contains the inherent frequency response of the beam, including resonances and anti-resonances. Especially, the anti-resonances can be a useful feature for estimating the impact location because they are dominated by both the sensor and impact locations. However, in the power spectrum expressed using a linear scale, these anti-resonances may be less noticeable due to their small values relative to the resonances. The proposed impact locating method adopts the power spectrum expressed using a dB scale to highlight the importance of the anti-resonances as the input of a deep neural network. The deep neural network was trained, validated, and tested using a simulated dataset derived from an ideal cantilever beam model with a length of 800 mm, including a single accelerometer. From the test result, the proposed method achieved a root mean square error of about 1 mm in impact locating for a total of 800 impact locations with an interval of 1 mm, a significantly improved accuracy from that using the linear scaled power spectrum.
Similar content being viewed by others
References
M. Islam, M. Sohaib, J. Kim and J.-M. Kim, Crack classification of a pressure vessel using feature selection and deep learning methods, Sensors, 18 (2018) 4379.
C. Hu, B. Yang, B. **ao, F.-Z. Xuan and Y. **ang, Damage localization in pressure vessel using guided wave-based techniques: optimizing the sensor array configuration to mitigate nozzle effects, Applied Acoustics, 185 (2022) 108393.
O. Avic, O. Abdeljaber, S. Kiranyza, M. Hussein, H. Gabbouj and D. F. Inman, A review of vibration-based damage detection in civil structures: from traditional methods to machine learning and deep learning applications, Mechanical Systems and Signal Processing, 147 (2021) 107077.
S. Das, P. Saha and S. K. Partro, Vibration-based damage detection techniques used for health monitoring of structures: a review, Journal of Civil Structural Health Monitoring, 6 (2016) 477–507.
G. F. Gomes, Y. A. D. Mendez, P. D. S. L. Alexandrino, S. S. D. Cunha Jr. and A. C. Ancelotti Jr., The use intelligent computational tools for damage detection and identification with an emphasis on composites—a review, Composite Structures, 196 (2018) 44–54.
M. Aimi, A. D. Eslamlou and G. Pekcan, Data-driven structural health monitoring and damage detection through deep learning: state-of-the-art review, Sensors, 20 (2020) 2778.
F. Hassan, A. K. B. Mahmood, N. Yahya, A. Saboor, M. Z. Abbas, Z. Khan and M. Rimsan, State-of-the-art review on the acoustic emission source localization techniques, IEEE Access, 9 (2021) 101246–101266.
T. Kundu, Acoustic source localization, Ultrasonics, 54 (2014) 25–38.
J.-H. Park and Y.-H. Kim, Impact source localization on an elastic plate in a noisy environment, Measurement Science and Technology, 17 (2006) 2757.
K. Worden and W. J. Staszewski, Impact location and quantification on a composite panel using neural networks and a genetic algorithm, Strain, 36 (2000) 61–68.
J. R. LeClerc, K. Worden, W. J. Staszewski and J. Haywood, Impact detection in an aircraft composite panel—a neural-network approach, Journal of Sound and Vibration, 299 (2007) 672–682.
Y. Sai, X. Zhao, L. Wang and D. Hou, Impact localization of CFRP structure based on FBG sensor network, Photonic Sensors, 10 (2020) 88–96.
A. Ebrahimkhanlou, B. Dubuc and S. Salamone, A generalizable deep learning framework for localizing and characterizing acoustic emission sources in riveted metallic panels, Mechanical Systems and Signal Processing, 130 (2019) 248–272.
L. Ai, M. J. L. van Tooren, V. Soltangharaei, P. Ziehl and R. Anay, Data-driven source localization of impact on aircraft control surfaces, Proc. of the 2022 IEEE Aerospace Conference, Montana, USA (2020) 1–10.
A. Ebrahimkhanlou and S. Salamone, Single-sensor acoustic emission source localization in plate-like structures using deep learning, Aerospace, 5 (2018) 50.
D. F. Hesser, S. Mostafavi, G. K. Kocur and B. Markert, Identification of acoustic emission sources for structural health monitoring applications based on convolutional neural networks and deep transfer learning, Neurocomputing, 453 (2021) 1–12.
C. H. Mejia, P. Germano, S. C. Echeverri and Y. Perriard, Artificial neural networks for impact position detection in haptic surfaces, Proc. of the 2019 IEEE International Ultrasonics Symposium, Glasgow, UK (2019) 1874–1877.
Y.-S. Lee, Comparison of collocation strategies of sensor and actuator for vibration control, Journal of Mechanical Science and Technology, 25 (2011) 61–68.
F. Fahy and P. Gardonio, Sound and Structural Vibration, 2nd Ed, Academic Press, London, UK (2007).
K. Shin and J. K. Hammond, Fundamentals of Signal Processing for Sound and Vibration Engineers, John Wiley & Sons, Chichester, UK (2008).
V. Nair and G. E. Hinton, Rectified linear units improve restricted boltzmann machines, Proc. of the 27th International Conference on Machine Learning, Haifa, Israel (2010) 807–814.
I. Goodfellow, Y. Bengio and A. Courville, Deep Learning, MIT Press, Cambridge, Massachusetts, USA (2016).
Y.-S. Lee, Active control of smart structures using distributed piezoelectric transducers, Ph.D. Thesis, University of Southampton (2000).
D. P. Kingma and J. Ba, Adam: a method for stochastic optimization, Proc. of the 3rd International Conference on Learning Representations, San Diego, USA (2015).
Acknowledgments
This work was supported by the Incheon National University Research Grant in 2019.
Author information
Authors and Affiliations
Corresponding author
Additional information
Seokhoon Ryu received his B.S. and M.Sc. from Incheon National University, Korea, in 2015 and 2018, respectively. He is currently working toward his Ph.D. at Embedded Systems Engineering in the same university. His research interests include signal processing, active control of sound and vibration and machine learning.
Jihea Lim received her B.S. in Embedded Systems Engineering from Incheon National University, Korea, in 2021. She is currently in an M.S. candidate at the same department. Her research interests include embedded control systems of autonomous vehicles and mobile robots, and active control of sound and vibration.
Young-Sup Lee received his B.S. from Pusan National University, Korea, in 1987. He then received his M.Sc. and Ph.D. from University of Southampton, United Kingdom, in 1997 and 2000, respectively. He is currently a Professor at Department of Embedded Systems Engineering in Incheon National Univer-sity, Korea. His research interests include robust control of autonomous vehicles and mobile robots, active and robust control, and multimedia signal processing.
Rights and permissions
About this article
Cite this article
Ryu, S., Lim, J. & Lee, YS. Deep learning-based impact locating using the power spectrum of an acceleration signal on a cantilever beam. J Mech Sci Technol 37, 3365–3377 (2023). https://doi.org/10.1007/s12206-023-0604-5
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-023-0604-5