Abstract
This article presents a Lamb wave processing by using two methods: Fast Fourier Transform (FFT2D) and Continuous Wavelet Transform (CWT) using Morlet wavelet. This treatment is done for a structure of two aluminum-copper plates, which are in contact edge to edge of a perpendicular junction with a thickness “e” in the presence of a rectangular and symmetrical defect located on the surface of the junction with a depth “d”. The aim under this study is to calculate the transmission and reflection energy coefficients by the two methods. The results of simulation obtained by Comsol software of an incident wave S0 at F = 800 kHz indicate us a good coherence between the two methods (FFT2D and CWT).
Highlights
Lamb [1] presents dispersion’s equation of Lamb waves that propagate in an elastic plate
The transmission and reflection energy coefficients obtained by the two methods (FFT2D and Continuous Wavelet Transform (CWT)) in the case of the incident mode is the symmetrical mode S0 at frequency F= 800kHz in the presence of a defect, where the report of the depth of defect by the thickness of the plate is (d/e = 1%, 2%, 3%, 4% and 5%) are presented in the following Fig. 14: The continuous curve in blue indicate the reflection energy coefficient obtained by FFT2D and the curve with stars is the reflection energy coefficient obtained by CWT
The continuous curve in red indicate the transmission energy coefficient obtained by FFT2D and the curve with stars is the reflection energy coefficient obtained by CWT
Summary
Lamb [1] presents dispersion’s equation of Lamb waves that propagate in an elastic plate. We come up with a treatment by the continuous wavelet and Fourier transform (CWT and FFT2D) for two isotropic and thin plates aluminum-copper which are connected to each other by a perpendicular junction with the presence of a rectangular and symmetrical defect on the surface of the junction. The objective of this treatment is to calculate the reflection and transmission energy coefficients, compare the results obtained by the two methods (FFT2D and CWT)
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