International Journal of Image, Graphics and Signal Processing(IJIGSP)
ISSN: 2074-9074 (Print), ISSN: 2074-9082 (Online)
Published By: MECS Press
IJIGSP Vol.10, No.4, Apr. 2018
A Novel Method for Crack Detection in Steel Cantilever Beam Using Wavelet Analysis by Combination Mode Shapes
Full Text (PDF, 1041KB), PP.1-12
The first step in Structures Health Monitoring (SHM), are determining the location, intensity and type of damage in structures. Crack is a damage that often occurs in structural elements and may cause serious ruptures in the structure. One of the important approaches is the wavelet analysis of vibration modes structures. In this study, it has been performed the crack detection method in steel cantilever beam structure, using an optimized wavelet-based model. The wavelet analysis has been performed based on the higher orders of the structure’s mode shapes. The results show that the proposed method is able to accurately detect all kinds of cracks, in which the cracks location are variable. In this study also, cracks with length of 20%, 10%, 5% and 2% of the beam’s depth have been considered and one of the most prominent results is introducing a method for detecting robust and environmental noisy cracks. The proposed method is capable of accurately detecting crack in the cantilever beams in noisy conditions about 20 dB of SNR.
Cite This Paper
H. Rouhollah Pour, J. Asgari Marnani, A. A. Tabatabei," A Novel Method for Crack Detection in Steel Cantilever Beam Using Wavelet Analysis by Combination Mode Shapes ", International Journal of Image, Graphics and Signal Processing(IJIGSP), Vol.10, No.4, pp. 1-12, 2018.DOI: 10.5815/ijigsp.2018.04.01
Dimarogonas A.D., Vibration Engineering, West Publishes, St. Paul, MN, 1976.
Gudmaunson P., Engine frequency changes of Structures Due to cracks, notches or other geometrical changes. Journal of Mechanics and Physics of Solids vol. 30, pp. 339-353, 1982.
Rizos P., Aspragathos N., Dimaroginas A.D., Identification of crack location and magnitude in Cantilever beam from the vibration modes. Journal of Sound and Vibration vol. 138, pp. 381-388, 1990.
Farrar,C.R and D.V Jauregui,”Damage Detection Algorithms Applied experimental and numerical modal data from I-٤٠ bridge”, Los Alamos national laboratory report LA-13704-MS, 1996.
West, W.M,”Illustration of the use of modal assurance criterion to detect structural changes in an orbiter test specimen: in proc. Air force conference on aircraft structural integrity,pp. 1-6,1984.
Fox,C.H.J.,”The location of defect in structures :A comparison of the use of natural frequency and mode shape data”, in proc. Of the 10th international modal analysis conference, pp. 522-528, 1992.
Ratcliffe, C.P,” Damage detection using a modified Laplacian operator on mode shape data”. Journal of Sound and Vibration, vol. 204, pp. 505-507, 1997.
Banks H.T., Inman D.J., Leo D.J., Wang,Y.; “An experimentally validated damage detection theory in smart structures”, Journal of Sound and Vibration vol. 19, pp. 859-880, 1996.
S. Loutridis, E. Douka, A. Trochidis, " Crack identification in double-cracked beams using wavelet analysis" Journal of Sound and Vibration, pp. 1025–1039, 2004.
Sherif Beskhyroun,Toshiyuki Oshima and Shuichi Mikami, "Wavelet-based technique for structural damage detection" Published online in Wiley InterScience , 2013.
Jeon Y., Choi D., Lee S., Yun P., "Defect detection for corner cracks in steel billets using a wavelet reconstruction method", Journal of the Optical Society of America, vol.31(2), pp. 227-237, 2014.
Yong-Ying Jiang, Bing Li, Zhou-Suo Zhang, Xue-Feng Chen, "Identification of Crack Location in Beam Structures Using Wavelet Transform and Fractal Dimension", Journal of Shock and Vibration, 2015.
M. Abdulkareem, N. Bakhary, M. Vafaei, N. M. Noor, "Wavelet-based Damage Detection Technique via Operational Deflection Shape Decomposition", Indian Journal of Science and Technology, Vol 9(48), 2016.
Okafor A.C., Dutta A., Structural damage detection in beams by wavelet transforms, Smart Materials and Structures, 9, 906-917, 2000.
Gentile A., Messina A., "On the continuous wavelet transforms applied to discrete vibrational data for detecting open cracks in damaged beams", International Journal of Solids and Structures, 40, 295-315, 2003.
Castro E., Garcia-Hernandez M.T., Gallego A., Defect identification in rods subject to forced vibrations using the spatial wavelet transform, Applied Acoustics, vol. 68, pp. 699-715, 2007.
Rucka M., "Damage Detection in Beams Using Wavelet Transform on Higher Vibration Modes", Journal of Theoretical and Applied Mechanics, Vol. 49 (2), pp. 399-417, 2011.
Naresh Jaiswal, Deepak Pande, "Wavelet Transform of Modal Data of Beam in Damage Detection Exercise", Indian Journal of Science and Technology, Vol 9(26), 2016.
Mallat, S." A Wavelet Tour of Signal Processing", Academic Press, San Diego, CA. 1998.
MathWorks, Inc., Matlab, www.mathworks.com, ver. 2014.
Daubechies I., Ten Lectures of Wavelets, Publisher: Society For Industrial & Applied Mathematics U.S., ISBN: 9780898712742, June 1992.
T. M. Thasleema, N. K. Narayanan, "Multi Resolution Analysis for Consonant Classification in Noisy Environments", I.J. Image, Graphics and Signal Processing (IJIGSP), vol.4, no.8, pp. 15-23, 2012.
S. Sridhar, P. Rajesh Kumar, K.V.Ramanaiah, "Wavelet Transform Techniques for Image Compression – An Evaluation", I.J. Image, Graphics and Signal Processing (IJIGSP), vol.6, no.2, pp. 54-67, 2014.
Vandana Roy, Shailja Shukla, "Automatic Removal of Artifacts from EEG Signal based on Spatially Constrained ICA using Daubechies Wavelet", I.J. Image, Graphics and Signal Processing (IJIGSP), vol.6, no.7, pp. 31-39, 2014.
ABAQUS/CAE, www.3ds.com, ver. 2016.