Structural damage detection and calibration using a wavelet-kurtosis technique

Abstract Some key factors in the field of damage detection of structures are the efficient and consistent detection of the presence, location and the extent of damage. A detailed numerical study has been performed in this paper addressing these issues for a beam element with an open crack. The first natural modeshape of the beam with an open crack has been simulated using smeared, lumped and continuous crack models involving various degrees of complexity. The static deflected shape of the same beam has also been simulated under vertical static loading. Gaussian white noise of different intensities has been synthetically introduced to both the simulated damaged modeshape and the static deflected shape. Wavelet analysis has been performed on the simulated modeshape and the static deflected shape for locating the damage. A new wavelet–kurtosis based calibration of the extent of damage has been performed for different crack depth ratios and crack positions including the effects of varying signal to noise ratio. An experimental validation of this method has been carried out on a damaged aluminium beam with open cracks of different extent. The damaged shape has been estimated by using a novel video camera based pattern recognition technique. The study in this paper shows that wavelet analysis in conjunction with a kurtosis based damage calibration can be useful in the identification of damage to structures and is applicable under the presence of measurement noise.

[1]  S. Patsias,et al.  Damage Detection Using Optical Measurements and Wavelets , 2002 .

[2]  Mohammad H. Dado,et al.  A comprehensive crack identification algorithm for beams under different end conditions , 1997 .

[3]  Y. Narkis.  Identification of Crack Location in Vibrating Simply Supported Beams , 1994 .

[4]  Biswajit Basu.  Identification of stiffness degradation in structures using wavelet analysis , 2005 .

[5]  James M. W. Brownjohn,et al.  DETECTION OF ANOMALOUS STRUCTURAL BEHAVIOUR USING WAVELET ANALYSIS , 2002 .

[6]  M. Rucka,et al.  Crack identification using wavelets on experimental static deflection profiles , 2006 .

[7]  Michael D. Gilchrist,et al.  Evaluating Four-Point Bend Fatigue of Asphalt Mix Using Image Analysis , 2004 .

[8]  Mohammad Noori,et al.  Wavelet-Based Approach for Structural Damage Detection , 2000 .

[9]  Chih-Chieh Chang,et al.  Vibration damage detection of a Timoshenko beam by spatial wavelet based approach , 2003 .

[10]  S. Masoud,et al.  EFFECT OF CRACK DEPTH ON THE NATURAL FREQUENCY OF A PRESTRESSED FIXED–FIXED BEAM , 1998 .

[11]  Leontios J. Hadjileontiadis,et al.  Crack detection in beams using kurtosis , 2005 .

[12]  K. M. Liew,et al.  Application of Wavelet Theory for Crack Identification in Structures , 1998 .

[13]  A. Chukwujekwu Okafor,et al.  Structural Damage Detection in Beams by Wavelet Transforms , 2000 .

[14]  Hani G. Melhem,et al.  DAMAGE DETECTION IN CONCRETE BY FOURIER AND WAVELET ANALYSES , 2003 .

[15]  C. Pierre,et al.  Free Vibrations of Beams With a Single-Edge Crack , 1994 .

[16]  Hani G. Melhem,et al.  Damage detection of structures by wavelet analysis , 2004 .

[17]  S. Loutridis,et al.  Crack identification in double-cracked beams using wavelet analysis , 2004 .

[18]  A. Barr,et al.  One-dimensional theory of cracked Bernoulli-Euler beams , 1984 .

[19]  V. V. Matveev,et al.  ANALYTICAL APPROACH TO THE DETERMINATION OF DYNAMIC CHARACTERISTICS OF A BEAM WITH A CLOSING CRACK , 2000 .

[20]  M. Sarfraz.  Computer-Aided Intelligent Recognition Techniques and Applications , 2005 .

[21]  Sergio H. S. Carneiro.  Model-Based Vibration Diagnostic of Cracked Beams in the Time Domain , 2000 .

[22]  D. Inman,et al.  Continuous Model for the Transverse Vibration of Cracked Timoshenko Beams , 2002 .

[23]  A. Messina,et al.  On the continuous wavelet transforms applied to discrete vibrational data for detecting open cracks in damaged beams , 2003 .

[24]  Leontios J. Hadjileontiadis,et al.  Fractal dimension analysis for crack identification in beam structures , 2005 .

[25]  Xiaomin Deng,et al.  Damage detection with spatial wavelets , 1999 .