Damage Detection in Post-Tensioned Slab Using 2D Wavelet Transforms

Document Type : Regular Paper

Authors

1 Department of Civil Engineering, Faculty of Engineering, University of Qom

2 Department of Civil Engineering, University of Qom, Qom, Iran

Abstract

Earthquake force, loading more than structural capacity, cracking, material fatigue, and other unpredicted events are undeniable in the structure life cycle in order that environmental conditions of the structure would be changed and treats health. Damage of structures such as crack, corrosion of the post-tension cables from inappropriate grouting of the post-tension structures, etc., can lead to the collapse of the structure. Accordingly, damage detection precedes the damage is essential. In this article, damage detection in the post-tensioned slab through 2D wavelet transform investigated. Hence, the structure has been modeled with finite element method. Damaged cables have been modeled by a reduction of the post-tension force. The vertical displacement has been derived through static analysis of the intact and damaged structure. Damage location will be detected with wavelet transform on the difference of the vertical displacements. To demonstrate the ability of 2D wavelet transform single and multiple scenarios of the post-tension cables, are tested. The influence of noise in the vertical displacement data for these scenarios is also considered. Using 2D wavelet transform and damage index W, an empirical equation has been proposed to calculate damage severity of the post-tensioned slab cables.

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Main Subjects


[1] Newland, D.E .(1993) .An Introduction to Random Vibrations, Spectral and Wavelet Analysis, third ed. Longman, New York.
[2] Sone, A., Yamamoto, S., Nakaoka, A., & Masuda, A. (1995). Health monitoring system of structures based on orthonormal wavelet transform (No. CONF-950740--). American Society of Mechanical Engineers, New York, NY (United States).
[3] Liu, F., Cheng, J., Xu, J., & Wang, X.) 1997(. Wavelet based adaptive equalization algorithm. Global Telecommunications Conference, GLOBECOM'97., IEEE. Vol. 3. IEEE.
[4] Fan, W., and Qiao, P. (2011). Vibration-based damage identification methods: a review and comparative study. Structural Health Monitoring 10.1: 83-111..
[5] Rucka, M. (2011). Damage detection in beams using wavelet transform on higher vibration modes, Journal of theoretical and applied mechanics, 49(2), pp: 399-417.
[6] Solís, M., M. Algaba, and P. Galvín. (2013). Continuous wavelet analysis of mode shapes differences for damage detection, Mechanical Systems and Signal Processing, 40(2), pp: 645-666.
[7] Bagheri, G., Ghodrari Amiri, G., Seyed Razzaghi, S.A. (2009). “Vibration-Based Damage Identification of plates structure via curvlet transform”.Journal of Sound and Vibration , Vol . 327 , PP. 593-603.
[8] Li, Y., Xu, M., Wei, Y., & Huang, W. (2015). An improvement EMD method based on the optimized rational Hermite interpolation approach and its application to gear fault diagnosis. Measurement, 63, 330-345.
[9] Li, Y., Xu, M., Wang, R., & Huang, W. (2016). A fault diagnosis scheme for rolling bearing based on local mean decomposition and improved multiscale fuzzy entropy. Journal of Sound and Vibration, 360, 277-299.
[11] Abbasi, A., Hoseini Vaez, S.R., Ghodrati Amiri, G. (2017), “Damage Detection of Steel Plate Shear Walls by Wavelet Transform” Journal of Ferdowsi Civil Engineering, Vol.29, No. 2.
[12] Mallat S.G. (1999) A Wavelet tour of signal processing. 2nd ed, 1999, London: Academic press.
[13] Kaveh A, Hoseini Vaez SR, Hosseini P, Fallah N. (2016) Detection of damage in truss structures using Simplified Dolphin Echolocation algorithm based on modal data. SMART STRUCTURES AND SYSTEMS. Vol. 18, No. 5, pp. 983-1004.
[14] Hoseini Vaez, S.R. and T. Arefzade, (2017) Vibration-based damage detection of concrete gravity dam monolith via wavelet transform. Journal of Vibroengineering, Vol. 19, Issue 1, pp. 204‑213.
[15] Hoseini Vaez, S.R. and N. Fallah, (2017) Damage Detection of Thin Plates Using GA-PSO Algorithm Based on Modal Data. Arabian Journal for Science and Engineering, Vol. 42, Issue 3, pp. 1251‑1263.