Earthquakes and Structures

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A two-stage approach for quantitative damage imaging in metallic plates using Lamb waves

  • Ng, Ching-Tai (School of Civil, Environmental & Mining Engineering, University of Adelaide)
  • Received : 2014.04.18
  • Accepted : 2014.10.17
  • Published : 2015.04.25
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Abstract

This paper proposes a two-stage imaging approach for quantitative inspection of damages in metallic plates using the fundamental anti-symmetric mode of ($A_0$) Lamb wave. The proposed approach employs a number of transducers to transmit and receive $A_0$ Lamb wave pulses, and hence, to sequentially scan the plate structures before and after the presence of damage. The approach is applied to image the corrosion damages, which are simplified as a reduction of plate thickness in this study. In stage-one of the proposed approach a damage location image is reconstructed by analyzing the cross-correlation of the wavelet coefficient calculated from the excitation pulse and scattered wave signals for each transducer pairs to determine the damage location. In stage-two the Lamb wave diffraction tomography is then used to reconstruct a thickness reduction image for evaluating the size and depth of the damage. Finite element simulations are carried out to provide a comprehensive verification of the proposed imaging approach. A number of numerical case studies considering a circular transducer network with eight transducers are used to identify the damages with different locations, sizes and thicknesses. The results show that the proposed methodology is able to accurately identify the damage locations with inaccuracy of the order of few millimeters of a circular inspection area of $100mm^2$ and provide a reasonable estimation of the size and depth of the damages.

Keywords

Acknowledgement

Supported by : Australian Research Council

References

  1. Achenbach, J.D. (2000), "Quantitative nondestructive evaluation", Int J. Solids Struct., 37, 13-27. https://doi.org/10.1016/S0020-7683(99)00074-8
  2. Alleyne, D., Pavlakovic, B., Lowe, M. and Cawley, P. (2001), "Rapid, long range inspection of chemical plant pipework using guided waves", Insight, 43(2), 93-96.
  3. Belanger, P. and Cawley, P. (2009), "Feasibility of low frequency straight-ray guided wave tomography", NDT and E Int., 42(2), 113-119. https://doi.org/10.1016/j.ndteint.2008.10.006
  4. Belanger, P., Cawley, P. and Simonetti, F. (2010), "Guided wave diffraction tomography within the Born approximation", IEEE Trans. Ultra. Ferr. Freq. Cont., 57(6), 1405-1418. https://doi.org/10.1109/TUFFC.2010.1559
  5. Carden, E.P. and Fanning, P. (2004), "Vibration based condition monitoring: a review", Struct. Hlth. Monit., 3, 355-377. https://doi.org/10.1177/1475921704047500
  6. Chan, E., Wang, C.H. and Rose, F.L.R. (2014), "Characterization of laminar damage in an aluminum panel by diffraction tomogxraphy based imaging method using Lamb waves", 7th European Workshop on Structural Health Monitoring, Nantes, France.
  7. Farrar, C.R. and Worden, K. (2007), "An introduction to structural health monitoring", Phil. Trans. R. Soc. A., 365, 303-315. https://doi.org/10.1098/rsta.2006.1928
  8. Graff, K.F. (1991), Wave Motion in Elastic Solids, Dover Publications Inc., New York, United States.
  9. Huthwaite, P. and Simonetti, F. (2013), "High-resolution guided wave tomography", Wave Motion, 50(5), 979-993. https://doi.org/10.1016/j.wavemoti.2013.04.004
  10. Jansen, D.P. and Hutchins, D.A. (1990), "Lamb wave tomography", IEEE Ultrasonics Symposium Proceedings, Honolulu, HI, December, 1017-1020.
  11. Kishimoto, K., Inoue, H., Hamada, M. and Shibuya, T. (1995), "Time frequency analysis of dispersive waves by means of wavelet transform", J. Appl. Mech., 62, 841-848. https://doi.org/10.1115/1.2896009
  12. Lam, H.F., Ng, C.T. and Leung, A.Y.T. (2008), "Multicrack detection on semirigidly connected beams utilizing dynamic data", J. Eng. Mech., ASCE, 134(1), 90-99. https://doi.org/10.1061/(ASCE)0733-9399(2008)134:1(90)
  13. Leonard, K.R. and Hinder, M.K. (2005), "Lamb wave tomography of pipe-like structures", Ultrasonics, 43, 574-583. https://doi.org/10.1016/j.ultras.2004.12.006
  14. Leonard, K.R., Malyarenko, E.V. and Hinders, M.K. (2002), "Ultrasonic Lamb wave tomography", Inver. Probl., 18(6), 1795-1808. https://doi.org/10.1088/0266-5611/18/6/322
  15. Lin, X. and Yuan, F.G. (2001), "Damage detection of a plate using migration technique", J. Intel. Mater. Syst. Struct., 12(7), 469-482. https://doi.org/10.1177/10453890122145276
  16. Malyarenko, E.V. and Hinders, M.K. (2000), "Fan beam and double crosshole Lamb wave tomography for mapping flows in aging aircraft structures", J. Acoust. Soc. Am., 108(4), 1631-1639. https://doi.org/10.1121/1.1289663
  17. Malyarenko, E.V. and Hinders, M.K. (2001), "Ultrasonic Lamb wave diffraction tomography", Ultrasonics, 39(4), 269-281. https://doi.org/10.1016/S0041-624X(01)00055-5
  18. Ng, C.T. (2014), "Bayesian model updating approach for experimental identification of damage ion beams using guided waves", Struct. Hlth. Monit., 13, 359-373. https://doi.org/10.1177/1475921714532990
  19. Ng, C.T. (2014), "On the selection of advanced signal processing techniques for guided wave damage identification using a statistical approach", Eng. Struct., 67, 50-60. https://doi.org/10.1016/j.engstruct.2014.02.019
  20. Ng, C.T. and Veidt, M. (2009), "A Lamb-wave-based technique for damage detection in composite laminates", Smart Mater. Struct., 18(7), 1-12.
  21. Ng, C.T. and Veidt, M. (2012), "Scattering characteristics of Lamb waves from debondings at structural features in composite laminates", J. Acoust. Soc. Am., 132(1), 115-123. https://doi.org/10.1121/1.4728192
  22. Ng, C.T., Veidt, M. and Lam, H.F. (2009a), "Guided wave damage characterization in beams utilizing probabilistic optimization", Eng. Struct., 31(12), 2842-2850. https://doi.org/10.1016/j.engstruct.2009.07.009
  23. Ng, C.T., Veidt, M. and Rajic, N. (2009b), "Integrated piezoceramic transducers for imaging damage in composite laminates", Proceedings of SPIE, 7493M, 1-8.
  24. Ng, C.T., Veidt, M. Rose, L.R.F. and Wang, C.H. (2012), "Analytical and finite element prediction of Lamb wave scattering at delaminations in quasi-isotropic composite laminates", J. Sound Vib., 331(22), 4870-4883. https://doi.org/10.1016/j.jsv.2012.06.002
  25. Rohde, A.H., Rose, L.R.F., Veidt, M. and Homer, J. (2008), "A computer simulation study of imaging flexural inhomogeneities using plate wave diffraction tomography", Ultrasonics, 48, 6-15. https://doi.org/10.1016/j.ultras.2007.09.002
  26. Rohde, A.H., Rose, L.R.F., Viedt, M. and Wang, C.H. (2009), "Two inversion strategies for plate wave diffraction tomography", Mater. Forum, 33, 489-495.
  27. Rose, J.L. (2002), "A baseline and vision of ultrasonic guided wave inspection potential", J. Press. Ves. Tech., 124, 273-282. https://doi.org/10.1115/1.1491272
  28. Rose, L.R. and Wang, C.H. (2010), "Mindlin plate theory for damage detection: imaging of flexural inhomogeneities", J. Acoust. Soc. Am., 127(2), 754-763. https://doi.org/10.1121/1.3277217
  29. Rose, L.R.F. and Wang, C.H. (2004), "Mindlin plate theory for damage detection: source solutions", J. Acoust. Soc. Am., 116, 154-171. https://doi.org/10.1121/1.1739482
  30. Veidt, M, Ng, C.T., Hames, S. and Wattinger, T. (2008), "Imaging laminar damage in plates using Lamb wave beamforming", Adv. Mater. Res., 47(50), 666-669.
  31. Veidt, M. and Ng, C.T. (2011), "Influence of stacking sequence on scattering characteristics of the fundamental anti-symmetric Lamb wave at through holes in composite laminates", J. Acoust. Soc. Am., 129(3), 1280-1287. https://doi.org/10.1121/1.3533742
  32. Virrmani, Y.P. (2002), Corrosion Costs and Preventive Strategies in the United States, Technical Brief, FHWA-RD-01-156, Federal Highway Administration, U.S. Department of Transportation, Washington, DC.
  33. Wang, C.H. and Chang, F.K. (2005), "Scattering of plate waves by a cylindrical inhomogeneity", J. Sound Vib., 282, 429-451. https://doi.org/10.1016/j.jsv.2004.02.023
  34. Wang, C.H. and Rose, L.R.F. (2003), "Plate-wave diffraction tomography for structural health monitoring", Rev. Quant. Nondestr. Eval., 22, 1615-1622.
  35. Wang, C.H. and Rose, L.R.F. (2013), "Minimum sensor density for quantitative damage imaging", 9th Int. Workshop on Struct. health Monitoring, Stanford, USA.
  36. Wang, C.H., Rose, J.T. and Chang, F.K. (2004), "A synthetic time-reversal imaging method for structural health monitoring", Smart Mater. Struct., 13, 415-423. https://doi.org/10.1088/0964-1726/13/2/020

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