Wavelet transform, as an advanced tool for frequency analysis of waves, has various applications in different fields of engineering. The main characteristic of the wavelet transform, compared to more traditional frequency analysis tools such as the Fourier transform, is its ability to be time-frequency. In other words, by using the wavelet transform, it is possible to obtain the occurrence time of different frequencies in stable and unstable waves. In the last two decades, the use of this tool in structural and earthquake engineering has also extensively expanded. It can be said that this tool is used in structural and earthquake engineering in three main categories of frequency analysis of earthquake waves, damage detection and de-noising. In this article, wavelet theory is first explained in a way related to structural engineering and earthquakes. Then, in the next step, the important studies conducted in each of the mentioned fields are presented separately
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Majidi, N., Tajmir Riahi, H., and Zandi, M., “Reducing Computational Efforts in Linear and Nonlinear Analysis of Peridynamic Models under Impact Loads”, Amirkabir Journal of Civil & Environmental Engineering, Vol. 54, No. 7, 2022.
Majidi, N., Zandi, M., and Tajmir Riahi, H., “Using the Method of Fundamental Solutions and Discrete Wavelet Transform to Reduce the Cost of Computations in the Analysis of Rectangular Water Tank for Earthquake Load”, Bulletin of Earthquake Science and Engineering, Vol. 10, No. 1, pp. -, 2022.
Majidi, N., Riahi, H. T., and Zandi, S. M., “Reducing Computational Costs in Site Response Analysis and Its Application for the Nonlinear Dynamic Analysis of Structures”, Structures, Vol. 46, pp. 1345-1368, 2022.
Majidi, N., Zandi, M., & Tajmir Riahi, H. (2024). A review of wavelet theory and its applications in structural and earthquake engineering. Journal of Computational Methods in Engineering, 43(1), 1-40. doi: 10.47176/jcme.43.1.1012
MLA
Noorollah Majidi; Mahdi Zandi; Hossein Tajmir Riahi. "A review of wavelet theory and its applications in structural and earthquake engineering", Journal of Computational Methods in Engineering, 43, 1, 2024, 1-40. doi: 10.47176/jcme.43.1.1012
HARVARD
Majidi, N., Zandi, M., Tajmir Riahi, H. (2024). 'A review of wavelet theory and its applications in structural and earthquake engineering', Journal of Computational Methods in Engineering, 43(1), pp. 1-40. doi: 10.47176/jcme.43.1.1012
VANCOUVER
Majidi, N., Zandi, M., Tajmir Riahi, H. A review of wavelet theory and its applications in structural and earthquake engineering. Journal of Computational Methods in Engineering, 2024; 43(1): 1-40. doi: 10.47176/jcme.43.1.1012