Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Quantitative nondestructive evaluation of thin plate structures using the complete frequency information from impact testing

  • Lee, Sang-Youl (Department of Civil and Engineering, Hanyang University) ;
  • Rus, Guillermo (Department of Structural Mechanics, University of Granada) ;
  • Park, Tae-Hyo (Department of Civil and Engineering, Hanyang University)
  • Received : 2006.12.13
  • Accepted : 2008.01.23
  • Published : 2008.03.30
⟨ Previous Next ⟩

Abstract

This article deals the theory for solving an inverse problem of plate structures using the frequency-domain information instead of classical time-domain delays or free vibration eigenmodes or eigenvalues. A reduced set of output parameters characterizing the defect is used as a regularization technique to drastically overcome noise problems that appear in imaging techniques. A deconvolution scheme from an undamaged specimen overrides uncertainties about the input signal and other coherent noises. This approach provides the advantage that it is not necessary to visually identify the portion of the signal that contains the information about the defect. The theoretical model for Quantitative nondestructive evaluation, the relationship between the real and ideal models, the finite element method (FEM) for the forward problem, and inverse procedure for detecting the defects are developed. The theoretical formulation is experimentally verified using dynamic responses of a steel plate under impact loading at several points. The signal synthesized by FEM, the residual, and its components are analyzed for different choices of time window. The noise effects are taken into account in the inversion strategy by designing a filter for the cost functional to be minimized. The technique is focused toward a exible and rapid inspection of large areas, by recovering the position of the defect by means of a single accelerometer, overriding experimental calibration, and using a reduced number of impact events.

Keywords

References

  1. Au, F.T.K., Cheng, Y.S., Tham, L.G. and Bai, Z.Z. (2003), "Structural damage detection based on a microgenetic algorithm using incomplete and noisy modal test data", J. Sound Vib., 259(5), 1081-1094 https://doi.org/10.1006/jsvi.2002.5116
  2. Bathe, K.J. (1996), The Finite Element Procedures in Engineering Analysis, Prentice Hall, Englewood Cliffs, NJ
  3. Bernal, D. (2002), "Load vectors for damage localization", J. Eng. Mech., 128(1), 7-14 https://doi.org/10.1061/(ASCE)0733-9399(2002)128:1(7)
  4. Bostrom, A., Johansson, G. and Olsson, P. (2001), "On the derivation of a hierarchy of dynamic equations for a homogeneous, isotropic, elastic plate", Int. J. Solids Struct., 38, 2487-2501 https://doi.org/10.1016/S0020-7683(00)00180-3
  5. Chou, J.-H. and Ghaboussi, J. (2001), "Genetic algorithms in structural damage detection", Comput. Strut., 79, 1335-1353 https://doi.org/10.1016/S0045-7949(01)00027-X
  6. Christides, S. and Barr, A.D.S. (1984), "One-dimensional theory of cracked bernulli-euler beams", Int. J. Mech. Sci., 26, 639-648 https://doi.org/10.1016/0020-7403(84)90017-1
  7. Dennis, J.E. Jr. and Schnabel, Robert B. (1983, 1996), Numerical Methods for Unconstrained Optimization and Nonlinear Equations. SIAM, Philadelphia
  8. Eriksson, A.S., Boström, A. and Datta, S.K. (1995), "Ultrasonic wave propagation through a cracked solid", Wave Motion, 22, 297-310 https://doi.org/10.1016/0165-2125(95)00036-I
  9. Friswell, M.I. and Penny, J.E.T. (1997), Is damage localization using vibrational measurement practical? In Proc. Int. Workshop on Structural Damage Assessment using Advanced Signal Processing Procedures, pp.351-362, June/July
  10. Friswell, M.I., Pennyb, J.E.T. and Garvey, S.D. (1998), "A combined genetic and eigensensitivity algorithm for the location of damage in structures", Comput. Struct., 69, 547-556 https://doi.org/10.1016/S0045-7949(98)00125-4
  11. Gudmudson, P. (1982), "The dynamic behaviors of slender structures with cross section cracks", J. Mech. Phys. Solids, 31(4), 329-345
  12. Kawchuk, G.N. and Elliott, P.D. (1998), "Validation of displacement measurements obtained from ultrasonic images during indentation testing", Ultrasound Med. Biol., 24(1), 105-111 https://doi.org/10.1016/S0301-5629(97)00241-X
  13. Kim, B.H., Joo, H.J. and Park, T.H. (2006), "Nondestructive damage evaluation of a curved thin beam", Struct. Eng. Mech., 24(6), 665-682 https://doi.org/10.12989/sem.2006.24.6.665
  14. Kimoto, K. and Hirose, S. (2000), A numerical modelling of contact sh-wave transducers. In D.O. Thompson and D.E. Chimenti, editors, Review of Progress in Quantitative Nondestructive Evaluation, Vol. 20
  15. Krawczuk, M. (2002), "Application of spectral beam finite element with a crack and iterative search technique for damage detection", Finite Elem. Anal. Des., 38, 537-548 https://doi.org/10.1016/S0168-874X(01)00084-1
  16. Lee, S.Y. and Wooh, S.C. (2005), "Waveform-based identification of structural damage using the combined fem and microgenetic algorithms", J. Struct. Eng., ASCE, 131(9), 1464-1472 https://doi.org/10.1061/(ASCE)0733-9445(2005)131:9(1464)
  17. Li, Y.Y., Cheng, L., Yam, L.H. and Wong, W.O. (2002), "Identification of damage locations for plate-like structures using damage sensitive indices: Strain modal approach", Comput. Struct., 80, 1881-1894 https://doi.org/10.1016/S0045-7949(02)00209-2
  18. Liu, P.L. and Chen, C.C. (1996), "Parametric identification of truss structures by using transient response", J. Sound Vib., 191(2), 273-287 https://doi.org/10.1006/jsvi.1996.0121
  19. Maeck, Johan, Peeters, Bart and Roeck, Guido De (2001), "Damage identification on the Z24 bridge using vibation monitoring", Smart Mater. Struct., 10, 512-517 https://doi.org/10.1088/0964-1726/10/3/313
  20. Mares, C. and Surace, C. (1996), "An application of genetic algorithms to identify damage in elastic structures", J. Sound Vib., 195, 195-215 https://doi.org/10.1006/jsvi.1996.0416
  21. Marty, P.N., Lowe, M.J.S. and Cawley, P. (2000), Finite element predictions of guided ultrasonic wave fields generated by piezoelectric transducers. In D.O. Thompson and D.E. Chimenti, editors, Review of Progress in Quantitative Nondestructive Evaluation, Vol. 20
  22. Miller, Ronnie K. (1986), Nondestructive Testing Handbook, Vol.5. American Society for Nondestructive Testing, 5 edition
  23. Rus, G., Wooh, S.C. and Gallego, R. (2004), "Analysis and design of wedge transducers using the boundary element method", J. Acoustic Soc. Am., 115, 2919-2927 https://doi.org/10.1121/1.1737738
  24. Rus, G., Lee, S.Y., Chang, S.Y. and Wooh, S.C. (2006), "Optimized damage detection of steel plates from noisy impact test", Int. J. Numer. Meth. Eng., 68, 707-727 https://doi.org/10.1002/nme.1720
  25. Schmerr, L.W. (1998), Fundamentals of Ultrasonic Nondestructive Evaluation — A Modeling Approach. Plenum Press, New York
  26. Suh, M.W., Shim, M.B. and Kim, M.Y. (2000), "Crack identification using hybrid neuro-genetic technique", J. Sound Vib., 238(4), 617-635 https://doi.org/10.1006/jsvi.2000.3089
  27. Ren, Guido Wei-Xin abd Roeck, De (2002), "Structural damage identification using modal data. I: Simulation verification", J. Struct. Eng., 128(1), 87-95 https://doi.org/10.1061/(ASCE)0733-9445(2002)128:1(87)
  28. Wendel, R. and Dual, J. (1997), "Application of neural networks to quantitative nondestructive evaluation", NDT & E Int., 30(5), 325
  29. Wooh, S.-C., Clay, A. and Wei, C. (1997), Ultrasonic phased array transducers for nondestructive evaluation of steel structures. In Society of Experimental Mechanics, editor, SEM Spring Conference, Bellevue, WA, Society for Experimental Mechanics, June 2U4, pp.1-2
  30. Wooh, S.C. and Daniel, I.M. (1994), "Three dimensional ultrasonic imaging of defects and damage in composite materials", Mater. Eval., 1199-1206
  31. Wooh, S.C. and Zhou, Q. (2001), "Behavior of laser-induced ultrasonic waves radiated from a wet surface, Part I. Theory", J. Appl. Phys., 89(6), 3469-3477 https://doi.org/10.1063/1.1349861
  32. Xiang, Jiawei, He, Zhengjia, He, Yumin and Chen, Xuefeng (2007), "Static and vibration analysis of thin plates by using finite element method of b-spline wavelet on the interval", Struct. Eng. Mech., 25(5), 613-629 https://doi.org/10.12989/sem.2007.25.5.613
  33. Zhao, J., Gaydecki, P.A. and Burdekin, F.M. (1995), "A numerical model of ultrasonic scattering by a defect in an immersion test", Ultrasonics, 33(4), 271-276 https://doi.org/10.1016/0041-624X(95)00033-Y

Cited by

  1. Stiffness assessment of bridge decks repaired by steel plates using an advanced system identification method vol.12, pp.6, 2008, https://doi.org/10.1007/s12205-008-0391-7
  2. Model-based damage reconstruction in composites from ultrasound transmission vol.45, pp.1, 2013, https://doi.org/10.1016/j.compositesb.2012.09.003
  3. Ultrasonic characterization of exhumed cast iron water pipes vol.7, pp.4, 2008, https://doi.org/10.12989/sss.2011.7.4.241