Abstract
In this work, we study the propagation of the plane waves in a solid medium (Aluminium) which contains a periodic two-dimensional (2D) array of cylindrical inclusions using a multiple scattering theory. The aim of this study is to validate the experience of certain theoretical predictions such as the frequential positions of the stop-bands and their widths like their evolution according to the geometrical characteristics of the 2D array. The cavities are excited in normal incidence. Measurements are taken in the case of the empty cavities. The acquisitions of all the transmission and reflection temporal signals are obtained by the use of transducers of contact. All the recorded signals are subjected to a signal processing (FFT, normalization). Key words: Multiple scattering theory/periodic distributions of inclusions/stop-bands/two-dimensional (2D) array.
Highlights
The propagation of acoustic waves in the heterogeneous medium equipped with a periodic structure has been the object of an interest growing for a few decades
We study the propagation of the plane waves in a solid medium (Aluminium) which contains a periodic two-dimensional (2D) array of cylindrical inclusions using a multiple scattering theory
The aim of this study is to validate the experience of certain theoretical predictions such as the frequential positions of the stop-bands and their widths like their evolution according to the geometrical characteristics of the 2D array
Summary
The propagation of acoustic waves in the heterogeneous medium equipped with a periodic structure has been the object of an interest growing for a few decades. A great number of periodic structures were studied and various theoretical approaches were employed. The periodic medium considered in this study is a periodic two-dimensional (2D) array of cylindrical inclusions in aluminium solid.The aim of this work is to validate by the experimental study certain theoretical predictions of Robert et al (2004) such as the frequential positions of the stop-bands, their widths and their evolution according to the geometrical characteristics of the array. By using the finite element method, Langlet (1993) could characterize the propagation of waves in such an array by analyzing the dispersion and the attenuation of the waves of Lamb being propagated in a periodically bored elastic plate. This study will be based on the analysis of the reflection and transmission coefficients of a periodic 2D array finite thickness
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