Abstract
Wavelet transform is a mathematical technique with many applications in signal processing. Anomaly and faults in signals can be detected using wavelet transform due to their sensitivity to local discontinuity and singularity. One of the most important applications in signal processing through wavelet transform is damage detection in structures. In this paper, a comprehensive literature review is performed on notable works about damage detection in structures by wavelet method to introduce various applications of the wavelet transforms for detecting damages in different structures. Depending on the type of signal acquired from the structures, two types of wavelet analysis can be performed: one-dimensional wavelet transform and two-dimensional wavelet transform. This paper describes one-dimensional wavelet transform analyses to clarify how the wavelet analysis may be helpful for damage detection in structures.
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References
Mofidian, R., Barati, A., Jahanshahi, M., Shahavi, M.H.: Fabrication of novel Agarose–Nickel Bilayer composite for purification of protein nanoparticles in expanded bed adsorption column. Chem. Eng. Res. Des. 159, 291–299 (2020)
Shahavi, M.H., Selakjani, P.P., Abatari, M.N., Antov, P., Savov, V.: Novel biodegradable poly (lactic acid)/wood leachate composites: investigation of antibacterial, mechanical, morphological, and thermal properties. Polymers 14(6), 1227 (2022)
JafariTalookolaei, R.A., Abedi, M., Kargarnovin, M.H., Ahmadian, M.T.: Dynamic analysis of generally laminated composite beam with a delamination based on a higher-order shear deformable theory. J. Compos. Mater. 49(2), 141–162 (2015)
Khalili, M., Razmjou, A., Shafiei, R., Shahavi, M.H., Li, M.C., Orooji, Y.: High durability of food due to the flow cytometry proved antibacterial and antifouling properties of TiO2 decorated nanocomposite films. Food Chem. Toxicol. 168, 113291 (2022)
Jafari-Talookolaei, R.A., Abedi, M.: Analytical solution for the free vibration analysis of delaminated Timoshenko beams. Sci. World J. (2014)
Saadatmorad, M., Siavashi, M., JafariTalookolaei, R.-A., Pashaei, M.H., Khatir, S., Thanh, C.-L.: Genetic and particle swarm optimization algorithms for damage detection of beam-like structures using residual force method. In: Bui, T.Q., Cuong, Le Thanh, Khatir, Samir (eds.) Structural Health Monitoring and Engineering Structures. LNCE, vol. 148, pp. 143–157. Springer, Singapore (2021). https://doi.org/10.1007/978-981-16-0945-9_12
Wahab, M.A., De Roeck, G.: Damage detection in bridges using modal curvatures: application to a real damage scenario. J. Sound Vib. 226(2), 217–235 (1999)
Saadatmorad, M., JafariTalookolaei, R.A., Pashaei, M.H., Khatir, S.: Damage detection on rectangular laminated composite plates using wavelet based convolutional neural network technique. Compos. Struct. 278, 114656 (2021)
Khatir, S., Tiachacht, S., Le Thanh, C., Ghandourah, E., Mirjalili, S., Wahab, M.A.: An improved artificial neural network using arithmetic optimization algorithm for damage assessment in FGM composite plates. Compos. Struct. 273, 114287 (2021)
Saadatmorad, M., Talookolaei, R.A.J., Pashaei, M.H., Khatir, S., Wahab, M.A.: Pearson correlation and discrete wavelet transform for crack identification in steel beams. Mathematics 10(15), 2689 (2022)
Tiachacht, S., Khatir, S., Le Thanh, C., Rao, R.V., Mirjalili, S., Wahab, M.A.: Inverse problem for dynamic structural health monitoring based on slime mould algorithm. Eng. Comput. 1–24 (2021)
Behtani, A., Bouazzouni, A., Khatir, S., Tiachacht, S., Zhou, Y.L., Abdel Wahab, M.: Damage localization and quantification of composite beam structures using residual force and optimization. J. Vibroeng. 19(7), 4977–4988 (2017)
Khatir, S., Wahab, M.A., Benaissa, B., Köppen, M.: Crack identification using eXtended IsoGeometric analysis and particle swarm optimization. In: Abdel Wahab, M. (ed.) FFW 2018. LNME, pp. 210–222. Springer, Singapore (2019). https://doi.org/10.1007/978-981-13-0411-8_21
Kang, F., Li, J.J., Xu, Q.: Damage detection based on improved particle swarm optimization using vibration data. Appl. Soft Comput. 12(8), 2329–2335 (2012)
Wei, Z., Liu, J., Lu, Z.: Structural damage detection using improved particle swarm optimization. Inverse Probl. Sci. Eng. 26(6), 792–810 (2018)
DinhCong, D., VoDuy, T., HoHuu, V., Nguyen-Thoi, T.: Damage assessment in plate-like structures using a two-stage method based on modal strain energy change and Jaya algorithm. Inverse Probl. Sci. Eng. 27(2), 166–189 (2019)
Gomes, G.F., da Cunha, S.S., Ancelotti, A.C.: A sunflower optimization (SFO) algorithm applied to damage identification on laminated composite plates. Eng. Comput. 35(2), 619–626 (2018). https://doi.org/10.1007/s00366-018-0620-8
Mishra, M., Barman, S.K., Maity, D., Maiti, D.K.: Ant lion optimisation algorithm for structural damage detection using vibration data. J. Civ. Struct. Heal. Monit. 9(1), 117–136 (2019)
Maity, D., Tripathy, R.R.: Damage assessment of structures from changes in natural frequencies using genetic algorithm. Struct. Eng. Mech. 19(1), 21–42 (2005)
Alexandrino, P.D.S.L., Gomes, G.F., Cunha Jr., S.S.: A robust optimization for damage detection using multiobjective genetic algorithm, neural network and fuzzy decision making. Inverse Probl. Sci. Eng. 1–26 (2019)
Barman, S.K., Maiti, D.K., Maity, D.: Damage detection of truss employing swarm-based optimization techniques: a comparison. In: Venkata Rao, R., Taler, J. (eds.) AEOTIT 2018. AISC, vol. 949, pp. 21–37. Springer, Singapore (2020). https://doi.org/10.1007/978-981-13-8196-6_3
Gerist, S., Maheri, M.R.: Structural damage detection using imperialist competitive algorithm and damage function. Appl. Soft Comput. 77, 1–23 (2019)
Kim, N.I., Kim, S., Lee, J.: Vibration-based damage detection of planar and space trusses using differential evolution algorithm. Appl. Acoust. 148, 308–321 (2019)
Bakhary, N., Hao, H., Deeks, A.J.: Damage detection using artificial neural network with consideration of uncertainties. Eng. Struct. 29(11), 2806–2815 (2007)
Mehrjoo, M., Khaji, N., Moharrami, H., Bahreininejad, A.: Damage detection of truss bridge joints using artificial neural networks. Expert Syst. Appl. 35(3), 1122–1131 (2008)
Rosales, M.B., Filipich, C.P., Buezas, F.S.: Crack detection in beam-like structures. Eng. Struct. 31(10), 2257–2264 (2009)
Saadatmorad, M., JafariTalookolaei, R.-A., Pashaei, M.-H., Khatir, S., Abdel Wahab, M.: Adaptive network-based fuzzy inference for damage detection in rectangular laminated composite plates using vibrational data. In: Abdel Wahab, M. (ed.) SDMA 2021. LNCE, vol. 204, pp. 179–196. Springer, Singapore (2022). https://doi.org/10.1007/978-981-16-7216-3_14
Saadatmorad, M., JafariTalookolaei, R.-A., Pashaei, M.-H., Khatir, S., Abdel Wahab, M.: Application of multilayer perceptron neural network for damage detection in rectangular laminated composite plates based on vibrational analysis. In: Abdel Wahab, M. (ed.) SDMA 2021. LNCE, vol. 204, pp. 163–178. Springer, Singapore (2022). https://doi.org/10.1007/978-981-16-7216-3_13
Staszewski, W.J.: Intelligent signal processing for damage detection in composite materials. Compos. Sci. Technol. 62(7–8), 941–950 (2002)
Kim, H., Melhem, H.: Damage detection of structures by wavelet analysis. Eng. Struct. 26(3), 347–362 (2004)
Hou, Z., Noori, M., Amand, R.S.: Wavelet-based approach for structural damage detection. J. Eng. Mech. 126(7), 677–683 (2000)
Yang, C., Oyadiji, S.O.: Delamination detection in composite laminate plates using 2D wavelet analysis of modal frequency surface. Comput. Struct. 179, 109–126 (2017)
Cao, M., Qiao, P.: Damage detection of laminated composite beams with progressive wavelet transforms. In: Nondestructive Characterization for Composite Materials, Aerospace Engineering, Civil Infrastructure, and Homeland Security 2008, vol. 6934, p. 693402. International Society for Optics and Photonics, March 2008
Sohn, H., Park, G., Wait, J.R., Limback, N.P., Farrar, C.R.: Wavelet-based active sensing for delamination detection in composite structures. Smart Mater. Struct. 13(1), 153 (2003)
Mitra, M., Gopalakrishnan, S.: Wavelet based spectral finite element modelling and detection of de-lamination in composite beams. Proc. Roy. Soc. A Math. Phys. Eng. Sci. 462(2070), 1721–1740 (2006)
Rucka, M., Wilde, K.: Application of continuous wavelet transform in vibration based damage detection method for beams and plates. J. Sound Vib. 297(3–5), 536–550 (2006)
Janeliukstis, R., Rucevskis, S., Wesolowski, M., Chate, A.: Experimental structural damage localization in beam structure using spatial continuous wavelet transform and mode shape curvature methods. Measurement 102, 253–270 (2017)
Montanari, L., Spagnoli, A., Basu, B., Broderick, B.: On the effect of spatial sampling in damage detection of cracked beams by continuous wavelet transform. J. Sound Vib. 345, 233–249 (2015)
Rucka, M.: Damage detection in beams using wavelet transform on higher vibration modes. J. Theor. Appl. Mech. 49(2), 399–417 (2011)
Puchala, D., Stokfiszewski, K.: Highly effective GPU realization of discrete wavelet transform for big-data problems. In: Paszynski, M., Kranzlmüller, D., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M.A. (eds.) ICCS 2021. LNCS, vol. 12742, pp. 213–227. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-77961-0_19
Yang, J.M., Hwang, C.N., Yang, B.L.: Crack identification in beams and plates by discrete wavelet transform method. Chuan Bo Li Xue/J. Ship Mech. 12(3), 464–472 (2008)
Guminiak, M., Knitter-PiÄ…tkowska, A.: Selected problems of damage detection in internally supported plates using one-dimensional Discrete Wavelet Transform. J. Theor. Appl. Mech. 56 (2018)
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The first three authors acknowledge the funding support of Babol Noshirvani University of Technology through Grant program No. BNUT/965919012/99.
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Larijani, Y.F., Rostamian, Y., Khatir, S. (2023). Damage Detection in Structures by Wavelet Transforms: A Review. In: Capozucca, R., Khatir, S., Milani, G. (eds) Proceedings of the International Conference of Steel and Composite for Engineering Structures. ICSCES 2022. Lecture Notes in Civil Engineering, vol 317. Springer, Cham. https://doi.org/10.1007/978-3-031-24041-6_3
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