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http://dx.doi.org/10.12989/sem.2008.28.5.525

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)
Publication Information
Structural Engineering and Mechanics / v.28, no.5, 2008 , pp. 525-548 More about this Journal
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
inverse problem; quantitative non-destructive evaluation (QNDE); real and ideal model; finite element method (FEM); impact testing; noise effect;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
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1 Chou, J.-H. and Ghaboussi, J. (2001), "Genetic algorithms in structural damage detection", Comput. Strut., 79, 1335-1353   DOI   ScienceOn
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   DOI   ScienceOn
4 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   DOI   ScienceOn
5 Dennis, J.E. Jr. and Schnabel, Robert B. (1983, 1996), Numerical Methods for Unconstrained Optimization and Nonlinear Equations. SIAM, Philadelphia
6 Eriksson, A.S., Boström, A. and Datta, S.K. (1995), "Ultrasonic wave propagation through a cracked solid", Wave Motion, 22, 297-310   DOI   ScienceOn
7 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
8 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   DOI   ScienceOn
9 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
10 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   DOI   ScienceOn
11 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   DOI   ScienceOn
12 Mares, C. and Surace, C. (1996), "An application of genetic algorithms to identify damage in elastic structures", J. Sound Vib., 195, 195-215   DOI   ScienceOn
13 Maeck, Johan, Peeters, Bart and Roeck, Guido De (2001), "Damage identification on the Z24 bridge using vibation monitoring", Smart Mater. Struct., 10, 512-517   DOI   ScienceOn
14 Ren, Guido Wei-Xin abd Roeck, De (2002), "Structural damage identification using modal data. I: Simulation verification", J. Struct. Eng., 128(1), 87-95   DOI   ScienceOn
15 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   DOI   ScienceOn
16 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
17 Miller, Ronnie K. (1986), Nondestructive Testing Handbook, Vol.5. American Society for Nondestructive Testing, 5 edition
18 Wooh, S.C. and Daniel, I.M. (1994), "Three dimensional ultrasonic imaging of defects and damage in composite materials", Mater. Eval., 1199-1206
19 Wendel, R. and Dual, J. (1997), "Application of neural networks to quantitative nondestructive evaluation", NDT & E Int., 30(5), 325
20 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
21 Christides, S. and Barr, A.D.S. (1984), "One-dimensional theory of cracked bernulli-euler beams", Int. J. Mech. Sci., 26, 639-648   DOI   ScienceOn
22 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   DOI   ScienceOn
23 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   DOI   ScienceOn
24 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   DOI   ScienceOn
25 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   DOI   ScienceOn
26 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   DOI   ScienceOn
27 Gudmudson, P. (1982), "The dynamic behaviors of slender structures with cross section cracks", J. Mech. Phys. Solids, 31(4), 329-345
28 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   DOI   ScienceOn
29 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   DOI   ScienceOn
30 Liu, P.L. and Chen, C.C. (1996), "Parametric identification of truss structures by using transient response", J. Sound Vib., 191(2), 273-287   DOI   ScienceOn
31 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   DOI   ScienceOn
32 Schmerr, L.W. (1998), Fundamentals of Ultrasonic Nondestructive Evaluation — A Modeling Approach. Plenum Press, New York
33 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   DOI   ScienceOn