The Case Examination of Detection of Structural Damages on a Plate using Wavelet Transform

ADMT Journal

مقاله 9، دوره 13، شماره 2، شهریور 2020، صفحه 91-97   

نوع مقاله: Original Article

نویسندگان

Ali Mohammad Rousta¹؛ Peyman Beiranvand^{* 2}؛ Farzad Akbarinia^{* 3}؛ Mehdi Hooshmand^{* 4}

¹Department of Civil Engineering, Yasouj University, Yasouj, Iran

²Department of Civil Engineering, Lorestan University, Khorramabad, Iran

³Department of Civil Engineering, Imam Khomeini International University, Qazvin, Iran

⁴Department of Civil Engineering, Khorasgan Branch, Islamic Azad University, Isfahan, Iran

چکیده

Sometimes, suddenly or gradually structural or nonstructural damages are created in structure’s members due to natural or unnatural reasons like earthquake or corrosion. One of the methods used from the early in last decade to recognize damage is wavelet transform method. In this method, instead of examination of natural frequencies and the rate of its changes, vibration response or static response of a structure in various points of a structure is recorded at the same time, which in fact is a place-domain signal. In this paper, some factors have been investigated on a plate such as the effect of crack depth reduction, effect of changing support conditions, and the effect of approaching two rectangular cracks; and the responses obtained from finite element analysis, have been studied and the following results are gained: the ability of wavelet method to recognize the locality and severity of cracks, identification of tiny cracks up to 0.5mm depth and increasing the intensification of cracks’ effect on plate by reducing their distance from each other.

کلیدواژه‌ها

Crack؛ Damage؛ Plate؛ Wavelet Transform

مراجع

[1]     Morlet, J., Sampling Theory and Wave Propagation. NATO ASI Series, Issues in Acoustic Signal/Image Processing and Recognition, Vol. I, 1983, pp. 233-261.

[2]     Goupillaud, P., Grossman, A., and Morlet, J., Cycle-Octave and Related Transforms in Seismic Signal Analysis, Geoexploration, Vol. 23, No.1, 1984, pp. 85-102.

[3]     Meyer, Y., Ondettes et Functions Splines. Lectures given at the University of Torino, Italy, 1986.

[4]     Mallat, S. G., A Theory for Multiresolution Signal Decomposition: the Wave Representation, Communication on Pure and Applied Mathematics, Vol. 41, 1988, pp. 674-693.

[5]     Cawley, P., Adams, R. D., The Location of Defects in Structures from Measurements of Natural Frequencies, The Journal of Strain Analysis for Engineering Design, Vol. 14, No. 2, 1979, pp. 309-313.

[6]     Daubechies, I., Ten Lectures on Wavelets. SIAM, Philadelphia, 1992.

[7]     Surace, C., Ruotolo, R., Crack Detection of a Beam Using the Wavelet Transform. Proceedings of the 12th International Modal Analysis Conference, Honolulu, 1994, pp. 1141-1147.

[8]     Wang, W. J., McFadden, P. D., Application of Orthogonal Wavelets to Early Gear Damage Detection, Mechanical Systems and Signal Processing, Vol. 9, No. 5, 1996, pp. 497-508.

[9]     Rucka, M., Wilde, K., Application of Continuous Wavelet Transform in Vibration Based Damage Detection Method for Beams and Plates, Journal of Sound and Vibration, Vol. 297, No. 3-5, 2006, pp. 536–550.

[10]  Yang, J. M., Hwang, C. N., and Yang, Y., Crack Identification of Stiffened Plates by Two-Dimensional Discrete Wavelet Transform, International Conference of The Asian-Pacific Technical Exchange and Advisory Meeting on Marine Structures, Istanbul, Turkey, 2008.

[11]  Taheri nasab, M., Beheshti Aval, S. B., Considerations in Discovery of Defects in Plates by Using Wavelet Transform Method, Second Professional Supervision Conference and NDT, Tehran, Iran, 21 November to 22 November, 2008.

[12]  Douka, E., Loutridis, S., and Trochidis, A., Crack Identification in Plates Using Wavelet Analysis, Journal of Sound and Vibration, Vol. 270, No. 1-2, 2004, pp. 279-295.

[13]  Chih-Chieh, Ch., Lieh-Wen, Ch., Damage Detection of a Rectangular Plate by Spatial Wavelet Based Approach, Applied Acoustics, Vol. 65, No. 8, 2004, pp. 819-832.

[14]  Yadavar Nikravesh, S. M., Nezamivand Chegini, S., Crack Identification In Double-Cracked plates Using Wavelet Analysis, Meccanica, Vol. 48, 2013, pp. 2075-2098.

[15]  Taheri Nasab, M., Beheshti Aval, S. B., Using Dynamic Loading in Discovery of Plates’ Defects by Wavelet Transform Method, Eighth International Civil Engineering Congress, Shiraz University, Shiraz, Iran, 22 to 24 May, 2009.

[16]  Ghajar, R. A., Mechanic of Failure and Fatigue, Khaje Nasir Toosi Industrial University Publication, Khaje Nasir Toosi Industrial University, Tehran, 2009.

[17]  Mallat S. G., A Theory for Multiresolution Signal Decomposition: the Wavelet Represen-Tation, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 11, No. 7, 1998, pp. 674–693.

[18]  Knitter-Piątkowska A., Guminiak, M., Defect Detection in Plate Structures Using Wavelet Transformation, Engineering Transactions, Vol. 64, No. 2, 2016, pp. 139-156.

[19]  Knitter-Piątkowska A., Guminiak, M., and Hloupis, G., Crack Identification in Plates Using 1-D Discrete Wavelet Transform, Journal of Theoretical and Applied Mechanics, Vol. 55, No. 2, 2017, pp. 481-496.

[20]  Guminiak M., Knitter-Piątkowska A., Selected Problems of Damage Detection in Internally Supported Plates Using One-Dimensional Discrete Wavelet Transform, Journal of Theoretical and Applied Mechanics, Vol. 56, No. 3, 2018, pp. 631-644.