Detection of Damage in Simply-Supported Plates by Discrete Wavelet Transform of Reconstructed Modal Data

Document Type : Research Article

Authors

1 Msc graduated in Civil Engineering, Jundi-Shapur University of Technology, Dezful, Iran

2 Shahid Beheshti University

3 Faculty of Civil Engineering, Jondi Shapur University of Technology, Dezful, Iran

4 faculty member of shahid beheshti university of tehran iran

Abstract

Localized singularities caused by changes in the stiffness or mass of the damaged region cannot be simply visible through modal analysis results. However, the wavelet transform of input signal can identify the location of defects by sudden changes in the spatial variation of transformed response. The aim of this research is to present a new method for damage detection in a damaged plate. Therefore, a squarely steel plate with fixed support conditions is modeled, symmetrically. The proposed method in this study is capable to detect existing defects in plates with damage ratio of 3%. In this approach, based on symmetry or asymmetry of mode shapes, the value of each point of mode shape data is respectively subtracted from or added with its symmetric point. The results demonstrat that the small defects are detected with high resolution by employing reconstructed modal data in contrast to the original mode shape data. In addition, it has been shown that less-detailed measurement can still be used provided an interpolation is used to improve the accuracy of the crack detection and decrease financial cost of structural health monitoring projects.

Keywords

References

 [1] A. Behnia, H. Chai, M. Yorikawa, S. Momoki, M. Terazawa T. Shiotani, Integrated non-destructive assessment of concrete structures under flexure by acoustic emission and travel time to- mography, Construction and Building Materials, 67 (2014) 202- 215.
[2] H. Pahlavan, A. Naseri, A. Einollahi, Probabilistic Seismic Vulnerability assessment of RC Frame Structures Retrofitted with Steel Jacketing, Amirkabir Journal of Civil Engineering, (2018). (in Persian)
[3] D.J. Joo, Damage detection and system identification using a wavelet energy based approach, Columbia University, 2012.
[4] M. Ruzzene, A. Fasana, L. Garibaldi, B. Piombo, Natural fre-quencies and dampings identification using wavelet transform:application to real data, Mechanical systems and signal process ing, 11(2) (1997) 207-218
[5] A. Robertson, K. Park, K. Alvin, Identification of structural dynamics models using wavelet-generated impulse response data, Journal of vibration and acoustics, 120(1) (1998) 261-266
[6] R. Ghanem, F. Romeo, A wavelet-based approach for the identification of linear time-varying dynamical systems, Journal of sound and vibration, 234(4) (2000) 555-576
[7] C. Huang, S. Hung, C. Lin, W. Su, A wavelet‐based approach to identifying structural modal parameters from seismic response and free vibration data, Computer‐Aided Civil and Infrastructure Engineering, 20(6) (2005) 408-423.
[8] R.-P. Luk, R.I. Damper, Non-parametric linear time-invariant nal Processing, 16(3) (2006) 303-319.
[9] X. Xu, Z. Shi, Q. You, Identification of linear time-varying systems using a wavelet-based state-space method, Mechanical Systems and Signal Processing, 26 (2012) 91-103.
[10] Z.S.L. Shen, S. Law, Parameter identification of LTV dy-namical system based on wavelet method, In Proceedings of the Forth International Conference on Earthquake Engineering, Tai pei, Taiwan, October (2006), pp. 202–210.
[11] W. Staszewski, Identification of non-linear systems using multi-scale ridges and skeletons of the wavelet transform, Journal of Sound and Vibration, 214(4) (1998) 639-658.
[12] J. Lardies, S. Gouttebroze, Identification of modal param eters using the wavelet transform, International Journal of Me- chanical Sciences, 44(11) (2002) 2263-2283.
[13] P. Argoul, T.-p. Le, Instantaneous indicators of structural be haviour based on the continuous Cauchy wavelet analysis, Me- chanical Systems and Signal Processing, 17(1) (2003) 243-250.
[14] J. Slavič, I. Simonovski, M. Boltežar, Damping identifica- tion using a continuous wavelet transform: application to real data, Journal of Sound and Vibration, 262(2) (2003) 291-307.
[15] A. Pandey, M. Biswas, M. Samman, Damage detection from changes in curvature mode shapes, Journal of sound and vibra- tion, 145(2) (1991) 321-332.
[16] S. Ravanfar, H. Razak, Z. Ismail, H. Monajemi, An im- proved method of parameter identification and damage detection in beam structures under flexural vibration using wavelet multi- resolution analysis, Sensors, 15(9) (2015) 22750-22775.
[17]  R. Sampaio, N. Maia, J. Silva, Damage detection using the frequency-response-function curvature method, Journal of sound and vibration, 226(5) (1999) 1029-1042.
[18]  A. Gentile, A. Messina, On the continuous wavelet trans-forms applied to discrete vibrational data for detecting open cracks in damaged beams, International Journal of Solids and Structures, 40(2) (2003) 295-315.
[19]  S.-T. Quek, Q. Wang, L. Zhang, K.-K. Ang, Sensitivity anal-ysis of crack detection in beams by wavelet technique, Interna-tional journal of mechanical sciences, 43(12) (2001) 2899-2910.
[20]  J.-C. Hong, Y. Kim, H. Lee, Y. Lee, Damage detection using the Lipschitz exponent estimated by the wavelet transform: ap-plications to vibration modes of a beam, International journal of solids and structures, 39(7) (2002) 1803-1816.
 [21]  Y. Yan, H. Hao, L. Yam, Vibration-based construction and extraction of structural damage feature index, International jour-nal of solids and structures, 41(24-25) (2004) 6661-6676.
 [22] J.-G. Han, W.-X. Ren, Z.-S. Sun, Wavelet packet based dam-age identification of beam structures, International Journal of Sol-ids and Structures, 42(26) (2005) 6610-6627.
[23]  B.H. Kim, T. Park, G.Z. Voyiadjis, Damage estimation on beam-like structures using the multi-resolution analysis, Interna-tional Journal of Solids and Structures, 43(14-15) (2006) 4238-4257.
[24]  X. Zhu, S. Law, Wavelet-based crack identification of bridge beam from operational deflection time history, International Jour-nal of Solids and Structures, 43(7-8) (2006) 2299-2317.
 [25] S. Zhong, S.O. Oyadiji, Detection of cracks in simply-sup-ported beams by continuous wavelet transform of reconstructed modal data, Computers & structures, 89(1-2) (2011) 127-148.
[26] A. Ovanesova, L.E. Suarez, Applications of wavelet trans-forms to damage detection in frame structures, Engineering struc-tures, 26(1) (2004) 39-49.
[27]  C.-C. Chang, L.-W. Chen, Detection of the location and size of cracks in the multiple cracked beam by spatial wavelet based approach, Mechanical Systems and Signal Processing, 19(1) (2005) 139-155.
[28]  E. Douka, S. Loutridis, A. Trochidis, Crack identification in plates using wavelet analysis, Journal of sound and vibration, 270(1-2) (2004) 279-295.
[29]  W. Xu, M. Radzieński, W. Ostachowicz, M. Cao, Damage detection in plates using two-dimensional directional Gaussian wavelets and laser scanned operating deflection shapes, Struc-tural Health Monitoring, 12(5-6) (2013) 457-468. 
[30]  W. Fan, P. Qiao, A 2-D continuous wavelet transform of mode shape data for damage detection of plate structures, Inter-national Journal of Solids and Structures, 46(25-26) (2009) 4379-4395.
[31]  A. Bagheri, G. Ghodrati Amiri, M. Khorasani, H. Bakhshi, Structural damage identification of plates based on modal data using 2D discrete wavelet transform, Structural Engineering and Mechanics, 40(1) (2011) 13-28.
[32]  S. Mallat, A wavelet tour of signal processing, Elsevier, 1999.
[33] I. Daubechies, Ten lectures on wavelets, Siam, 1992. 
[34]  C.R. Farrar, S.W. Doebling, An overview of modal-based damage identification methods, Los Alamos National Lab., NM  
(United States), 1997. 
[35]  J. Vanherzeele, S. Vanlanduit, P. Guillaume, Reducing meas-urement time for a laser Doppler vibrometer using regressive techniques, Optics and lasers in engineering, 45(1) (2007) 49-56.
 
 
Amirkabir Journal of Civil Engineering
Volume 51, Issue 3
September and October 2019
Pages 503-522

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