Damage diagnosis in circular structures using Cartesian wavelet analysis: A comparison between two structural signals

Document Type : Article

Authors

1 Department of Mechanical Engineering, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

2 Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, Iran

Abstract

Circular structures are used in a wide variety of engineering mechanisms and devices. In this paper, an effective algorithm on the basis of the complex mappings is proposed to identify defects in circular structures using Cartesian damage detection techniques. The efficacy of the proposed algorithm is demonstrated through damage identification in circular plates using the Cartesian wavelet analysis. The vibration and thermal responses of the structure, as two important structural signals, are imported into the proposed algorithm to evaluate the abilities of the signals in identifying the damage location and severity. Finally, two experimental tests are conducted to explore the efficacy of the proposed algorithm in real applications.

Keywords


References:
1. Frank Pai, P., Oh, Y., and Lee, S.-Y. "Detection of defects in circular plates using a scanning laser vibrometer", Structural Health Monitoring, 1(1), pp. 63-88 (2002).
2. Giurgiutiu, V. and Zagrai, A. "Damage detection in thin plates and aerospace structures with the electro- mechanical impedance method", Structural Health Monitoring, 4(2), pp. 99-118 (2005).
3. Trendafoilova, I., Gorman, D.G., and Manoach, E. "An investigation on vibration-based damage detection in circular plates", Structural Health Monitoring, 8(4),pp. 291-302 (2009). 
4. Katunin, A. "Vibration-based damage identification in composite circular plates using polar discrete wavelet transform", Journal of Vibroengineering, 15, pp. 355- 363 (2013).
5. Praisach, Z.I., Micliuc, D.M., Gillich, G.R., et al. "Natural frequency shift of damaged circular plate clamped all around", ANNALS of Faculty Engineering Hunedoara - International Journal of Engineering, Tome XIV - Fascicule, 4(November), pp. 57-62 (2016).
6. Salmi, A., Heino, O., Nieminen, H.J., et al. "Detecting defects in adhesion between a metal hemisphere and a polymer base", IEEE International Ultrasonics Symposium (IUS), Prague, Czech Republic, pp. 695-698 (2013).
7. Ganguli, R., Structural Health Monitoring: A Non-Deterministic Framework, Springer, Singapore (2020).
8. Ostachowicz, W. and Guemes, A., New Trends in Structural Health Monitoring, Springer-Verlag Wien, New York (2013).
9. Ghannadi, P. and Kourehli, S.S. "An effective method for damage assessment based on limited measured locations in skeletal structures", Advances in Structural Engineering, 24(1), pp. 1-9 (2021).
10. Tehrani, H.A., Bakhshi, A., and Akhavat, M. "An effective approach to structural damage localization in flexural members based on generalized S-transform", Scientia Iranica, 26(6), pp. 3125-3139 (2019).
11. Seifoori, S., Parrany, A.M., and Mirzarahmani, S. "Impact damage detection in CFRP and GFRP curved composite laminates subjected to low-velocity impacts", Composite Structures, 0, pp. 1-15 (2021).
12. Parrany, A.M. and Mirzaei, M. "A new image processing strategy for surface crack identification in building structures under non-uniform illumination", IET Image Processing, 16(2), pp. 407-415 (2022).
13. Gogolewski, D. "Fractional spline wavelets within the surface texture analysis", Measurement, 179, p. 109435 (2021).
14. Katunin, A. and Przysta lka, P. "Damage assessment in composite plates using fractional wavelet transform of modal shapes with optimized selection of spatial wavelets", Engineering Applications of Artificial Intelligence, 30, pp. 73-85 (2014).
15. Shi, B., Cao, M., Wang, Z., et al. "A directional continuous wavelet transform of mode shape for line-type damage detection in plate-type structures", Mechanical Systems and Signal Processing, 167, p. 108510 (2022).
16. Hassani, S., Mousavi, M., and Gandomi, A.H. "A mode shape sensitivity-based method for damage detection of structures with closely-spaced eigenvalues", Measurement, 190, p. 110644 (2022).
17. Zhang, B., Liu, H., Wang, X., et al. "Damage identification in aluminum plates based on iterative partition algorithm using waveform centroid", Wave Motion, 108, p. 102842 (2022).
18. Song, H., Xiang, M., Lu, G., et al. "Singular spectrum analysis and fuzzy entropy-based damage detection on a thin aluminium plate by using PZTs", Smart Materials and Structures, 31(3), pp. 1-8 (2022).
19. Li, M., Jia, D., Wu, Z., et al. "Structural damage identification using strain mode differences by the iFEM based on the convolutional neural network (CNN)", Mechanical Systems and Signal Processing, 165, p. 108289 (2022).
20. Hu, M., He, J., Zhou, C., et al. "Surface damage detection of steel plate with different depths based on Lamb wave", Measurement, 187, p. 110364 (2022).
21. Xu, Y., Pan, Y., Wang, Y., et al. "Damage identification of single-layer cylindrical latticed shells based on the model updating technique", Journal of Civil Structural Health Monitoring, pp. 1-15 (2022).
22. Avci, O., Abdeljaber, O., Kiranyaz, S., et al. "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, p. 107077 (2021).
23. Gomes, G.F., Mendez, Y.A.D., Alexandrino, P.D.S.L., et al. "A review of vibration based inverse methods for damage detection and identification in mechanical structures using optimization algorithms and ANN", Archives of Computational Methods in Engineering, 26(4), pp. 883-897 (2019).
24. He, Y., Deng, B., Wang, H., et al. "Infrared machine vision and infrared thermography with deep learning: a review", Infrared Physics & Technology, 116, p. 103754 (2021).
25. Parrany, A.M. "Damage detection in circular cylindrical shells using active thermography and 2-D discrete wavelet analysis", Thin-Walled Structures, 136, pp. 34-49 (2019).
26. Seifoori, S., Izadi, R., and Yazdinezhad, A.R. "Impact damage detection for small- and large-mass impact on CFRP and GFRP composite laminate with different striker geometry using experimental, analytical and FE methods", Acta Mechanica, 230, pp. 4417-4433 (2019).
27. Ghannadi, P. and Kourehli, S.S. "Structural damage detection based on MAC flexibility and frequency using moth-flame algorithm", Structural Engineering and Mechanics, 70(6), pp. 649-659 (2019).
28. Lashkari, A.E. and Firouzmand, M. "Developing a toolbox for clinical preliminary breast cancer detection in different views of thermogram images using a set of optimal supervised classifiers", Scientia Iranica, 25(3), pp. 1545-1560 (2018).
29. Seifoori, S., Izadi, R., Liaghat, G.H., et al. "An experimental study on damage intensity in composite plates subjected to low-velocity impacts", Polymer Testing, 93(106887), pp. 1-14 (2021).
30. Oosthuizen, P.H. and Naylor, D., Introduction to Convective Heat Transfer Analysis, WCB/McGraw Hill, New York (1999).
31. Incropera, F.P. and DeWitt, D.P., Fundamentals of Heat and Mass Transfer, Wiley, New York (2002).
32. Rao, S.S., Vibration of Continuous Systems, John Wiley & Sons, New Jersey (2007).
33. Gao, R.X. and Yan, R., Wavelets: Theory and Applications for Manufacturing, Springer, New York (2011).
34. Chui, C.K., An Introduction to Wavelets, Academic Press, San Diego (1992).
35. Newland, D.E., An Introduction to Random Vibrations: Spectral and Wavelet Analysis, Longman, Harlow and John Wiley, New York (1993).
36. Messina, A. "Refinements of damage detection methods based on wavelet analysis of dynamical shapes", International Journal of Solids and Structures, 45(14-15), pp. 4068-4097 (2008).
37. Fan, W. and Qiao, P. "A 2-D continuous wavelet transform of mode shape data for damage detection of plate structures", International Journal of Solids and Structures, 46(25-26), pp. 4379-4395 (2009).
38. Alamdari, M.M., Li, J., and Samali, B. "Damage identification using 2-D discrete wavelet transform on extended operational mode shapes", Archives of Civil and Mechanical Engineering, 15(3), pp. 698-710 (2015).
39. Ovanesova, A.V. and Suarez, L.E. "Applications of wavelet transforms to damage detection in frame structures", Engineering Structures, 26(1), pp. 39-49 (2004).
40. Seifoori, S., Mirzaei, M., and Afjoland, H. "Experimental and FE analysis for accurate measurement of deflection in CFRP and GFRP laminates under bending", Measurement, 153(107445), pp. 1-8 (2020).