Crack detection in a beam using wavelet transform and photographic measurements

Abstract An optimistic attempt for the detection of a crack in a beam using discrete wavelet transform is proposed. Finite element model of the simply supported beam with a transverse open crack is considered. Crack in a beam causes a slope discontinuity in the elastic line. The deflection of the beam is used to locate the slope discontinuity using wavelet transform. The effect of measurement noise on the wavelet decomposition level is studied. An inexpensive digital image based technique is employed to obtain the deflection of the cracked beam for experimental investigations. White pixels due to dust particles are removed using connected component algorithm. A suitable edge detection technique is selected for finding the edged image on the basis of peak signal to noise ratio values. The deflection of the non-cracked edge of the beam is used as an input signal for wavelet transform to detect the crack location. Detection of a crack in the beam with different crack depths is investigated experimentally. The proposed method works well with numerically simulated as well as experimentally measured cracked beam deflections.

[1]  Robert D. Adams,et al.  The location of defects in structures from measurements of natural frequencies , 1979 .

[2]  S. S. Law,et al.  Wavelet-based crack identification of bridge beam from operational deflection time history , 2006 .

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

[4]  R. Ruotolo,et al.  Crack detection of a beam using the Wavelet Transform , 1994 .

[5]  Soumen Bag,et al.  Shape decomposition-based handwritten compound character recognition for Bangla OCR , 2018, J. Vis. Commun. Image Represent..

[6]  S. Quek,et al.  Sensitivity analysis of crack detection in beams by wavelet technique , 2001 .

[7]  Jörg Wauer,et al.  On the Dynamics of Cracked Rotors: A Literature Survey , 1990 .

[8]  Shuncong Zhong,et al.  Detection of cracks in simply-supported beams by continuous wavelet transform of reconstructed modal data , 2011 .

[9]  Rajiv Tiwari,et al.  Detection and localisation of multiple cracks in a shaft system: An experimental investigation , 2014 .

[10]  Jacob Aboudi,et al.  Stiffness reduction of cracked solids , 1987 .

[11]  A. S. Sekhar,et al.  Transient analysis of a cracked rotor passing through critical speed , 1994 .

[12]  Andrew D. Dimarogonas,et al.  Vibration of cracked structures: A state of the art review , 1996 .

[13]  Lothar Gaul,et al.  Substructuring including interface reduction for the efficient vibro-acoustic simulation of fluid-filled piping systems , 2010 .

[14]  Vikram Pakrashi,et al.  Structural damage detection and calibration using a wavelet-kurtosis technique , 2007 .

[15]  Yakov Ben-Haim,et al.  Crack detection in beams by rankordering of eigenfrequency shifts , 1994 .

[16]  S. K. Singh,et al.  Detection and localization of multiple cracks in a stepped shaft , 2013 .

[17]  Tai-Yan Kam,et al.  DETECTION OF CRACKS IN STRUCTURES USING MODAL TEST DATA , 1992 .

[18]  Dong Wei,et al.  Generalized coiflets with nonzero-centered vanishing moments , 1998 .

[19]  Rajiv Tiwari,et al.  Identification of a multi-crack in a shaft system using transverse frequency response functions , 2010 .

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

[21]  R. Manicka Chezian,et al.  Edge Detection Operators: Peak Signal to Noise Ratio Based Comparison , 2014 .

[22]  Quan Wang,et al.  Experimental studies on damage detection of beam structures with wavelet transform , 2011 .

[23]  Yakov Ben-Haim,et al.  Crack Detection in Beams by Rank-Ordering of Eigen-Frequency Shifts , 1991 .

[24]  F. Ismail,et al.  Identification of fatigue cracks from vibration testing , 1990 .

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

[26]  Abbas Najafipour,et al.  Comparing the trustworthiness of signal-to-noise ratio and peak signal-to-noise ratio in processing noisy partial discharge signals , 2013 .

[27]  Athanasios Chasalevris,et al.  Identification of multiple cracks in beams under bending , 2006 .

[28]  Magdalena Rucka,et al.  Damage detection in beams using wavelet transform on higher vibration modes , 2011 .

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