DOI QR코드

DOI QR Code

A comparative analysis of structural damage detection techniques by wavelet, kurtosis and pseudofractal methods

  • Pakrashi, Vikram (Roughan & O'Donovan Consulting Engineers) ;
  • O'Connor, Alan (Department of Civil, Structural and Environmental Engineering, Trinity College Dublin) ;
  • Basu, Biswajit (Department of Civil, Structural and Environmental Engineering, Trinity College Dublin)
  • 투고 : 2008.03.25
  • 심사 : 2009.06.02
  • 발행 : 2009.07.10

초록

The aim of this paper is to compare wavelet, kurtosis and pseudofractal based techniques for structural health monitoring in the presence of measurement noise. A detailed comparison and assessment of these techniques have been carried out in this paper through numerical experiments for the calibration of damage extent of a simply supported beam with an open crack serving as an illustrative example. The numerical experiments are deemed critical due to limited amount of experimental data available in the field of singularity based detection of damage. A continuous detectibility map has been proposed for comparing various techniques qualitatively. Efficiency surfaces have been constructed for wavelet, kurtosis and pseudofractal based calibration of damage extent as a function of damage location and measurement noise level. Levels of noise have been identified for each technique where a sudden drop of calibration efficiency is observed marking the onset of damage masking regime by measurement noise.

키워드

참고문헌

  1. Addison, P.S. (2005), "Wavelet transforms and the ECG: A review", Physiol. Meas., 26, R155-R199 https://doi.org/10.1088/0967-3334/26/5/R01
  2. Bovsunovsky, A.P. and Matveev, V.V. (2000), "Analytical approach to the determination of dynamic characteristics of a beam with a closing crack", J. Sound Vib., 235(3), 415-434 https://doi.org/10.1006/jsvi.2000.2930
  3. Carneiro, S.H.S. and Inman, D.J. (2002), "Continuous model for the transverse vibration of cracked Timoshenko beams", J. Vib. Acoust., ASME, 124(4), 310-320 https://doi.org/10.1115/1.1452744
  4. Chabert, M., Tourneret, J.Y. and Castanie, F. (2000), "Time-scale analysis of abrupt changes corrupted by multiplicative noise", Signal Process., 80(3), 397-411 https://doi.org/10.1016/S0165-1684(99)00139-5
  5. Chukwujekwu Okafor, A. and Dutta, A. (2000), "Structural damage detection in beams by wavelet transforms", Smart Mater. Struct., 9, 906-917 https://doi.org/10.1088/0964-1726/9/6/323
  6. Dimarogonas, A.D. (1996), "Vibration of cracked structures: A state of the art review", Eng. Fract. Mech., 55(5), 831-857 https://doi.org/10.1016/0013-7944(94)00175-8
  7. Gentile, A. and Messina, A. (2003), "On the continuous wavelet transforms discrete vibrational data for detecting open cracks in damaged beams", Int. J. Solids Struct., 40, 295-315 https://doi.org/10.1016/S0020-7683(02)00548-6
  8. Hadjileontiadis, L.J. and Douka, E. (2007), "Crack detection in plates using fractal dimension", Eng. Struct., 29(7), 1612-1625 https://doi.org/10.1016/j.engstruct.2006.09.016
  9. Hadjileontiadis, L.J. and Douka, E. (2007), "Kurtosis analysis for crack detection in thin isotropic rectangular plates", Eng. Struct., 29(9), 2353-2364 https://doi.org/10.1016/j.engstruct.2006.12.006
  10. Hadjileontiadis, L.J., Douka, E. and Trochidis, A. (2005), "Crack detection in beams using kurtosis", Comput. Struct., 83, 909-919 https://doi.org/10.1016/j.compstruc.2004.11.010
  11. Hadjileontiadis, L.J., Douka, E. and Trochidis, A. (2005), "Fractal dimension analysis for crack identification in beam structures", Mech. Syst. Signal Process., 19, 659-674 https://doi.org/10.1016/j.ymssp.2004.03.005
  12. Hou, Z., Noori, M. and Amand, R.S. (2000), "Wavelet based approach for structural damage detection", J. Eng. Mech., ASCE, 126(7), 677-683 https://doi.org/10.1061/(ASCE)0733-9399(2000)126:7(677)
  13. Ide, K. and Sornette, D. (2002), "Oscillatory finite-time singularities in finance, population and rupture", Physica A, 307, 63-106 https://doi.org/10.1016/S0378-4371(01)00585-4
  14. Khatam, H., Golafshani, A.A., Beheshti-Aval, S.V. and Noori, M. (2007), "Harmonic class loading for damage identification in beams using wavelet analysis", Struct. Health Monitor., 6(1), 67-80 https://doi.org/10.1177/1475921707072064
  15. Mallat, S. (2001), A Wavelet Tour on Signal Processing. Academic Press, New York
  16. Narkis, Y. (1998), "Identification of crack location in vibrating simply supported beams", J. Sound Vib., 172(4), 549-558 https://doi.org/10.1006/jsvi.1994.1195
  17. Pakrashi, V., Basu, B. and O'Connor, A. (2007), "Structural damage detection and calibration using a waveletkurtosis technique", Eng. Struct., 29(9), 2097-2108 https://doi.org/10.1016/j.engstruct.2006.10.013
  18. Pakrashi, V., O'Connor, A. and Basu, B. (2007), "A study on the effects of damage models and wavelet bases for damage identification and calibration in beams", Comput. Aided Civil Infrastruct. Eng., 22, 555-569 https://doi.org/10.1111/j.1467-8667.2007.00510.x
  19. Patsias, S. and Staszewski, W.J. (2002), "Damage detection using optical measurements and wavelets", Struct. Health Monitor., 1(1), 5-22 https://doi.org/10.1177/147592170200100102
  20. Poudel, U.P., Fu, G. and Ye, J. (2005), "Structural damage detection using digital video imaging technique and wavelet transformation", J. Sound Vib., 286, 869-895 https://doi.org/10.1016/j.jsv.2004.10.043
  21. Poudel, U.P., Fu, G. and Ye, J. (2007), "Wavelet transformation of mode shape difference function for structural damage location identification", Earthq. Eng. Struct. Dyn., 36, 1089-1107 https://doi.org/10.1002/eqe.673
  22. Reda Taha, M.M., Noureldin, A., Lucero, J.L. and Baca, T.J. (2006), "Wavelet transform for structural health monitoring: A compendium of uses and features", Struct. Health Monitor., 5(3), 267-295 https://doi.org/10.1177/1475921706067741
  23. Robertson, A.N., Farrar, C.R. and Sohn, H. (2003), "Singularity detection for structural health monitoring using holder exponents", Mech. Syst. Signal Process., 17(6), 1163-1184 https://doi.org/10.1006/mssp.2002.1569
  24. Rucka, M. and Wilde, K. (2006), "Crack identification using wavelets on experimental static deflection profiles", Eng. Struct., 28, 279-288 https://doi.org/10.1016/j.engstruct.2005.07.009
  25. Wang, J. and Qiao, P. (2007), "Improved damage detection in beam type structures using a uniform load surface", Struct. Health Monitor., 6(2), 99-110 https://doi.org/10.1177/1475921706072062
  26. Zhong, S. and Oyadiji, S.O. (2007), "Crack detection in simply supported beams without baseline modal parameters by stationary wavelet transform", Mech. Syst. Signal Process., 21, 1853-1884 https://doi.org/10.1016/j.ymssp.2006.07.007
  27. Zhu, X.Q. and Law, S.S. (2006), "Wavelet based crack identification of bridge beam from operational deflection time history", Int. J. Solids Struct., 43, 2299-2317 https://doi.org/10.1016/j.ijsolstr.2005.07.024

피인용 문헌

  1. Performance evaluation of wavelet and curvelet transforms based-damage detection of defect types in plate structures vol.60, pp.4, 2016, https://doi.org/10.12989/sem.2016.60.4.667
  2. Fractal Dimension as an Effective Feature for Characterizing Hard Marine Growth Roughness from Underwater Image Processing in Controlled and Uncontrolled Image Environments vol.9, pp.12, 2009, https://doi.org/10.3390/jmse9121344