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http://dx.doi.org/10.7776/ASK.2008.27.3.129

Analysis of Multi-Mode Reflection and Transmission Coefficients of a Lamb Wave Across a Rectangular Notch  

Kim, Byung-Soo (경북대학교 기계공학과)
Roh, Yong-Rae (경북대학교 기계공학과)
Publication Information
The Journal of the Acoustical Society of Korea / v.27, no.3, 2008 , pp. 129-139 More about this Journal
Abstract
The purpose of the present work is to derive the reflection and transmission coefficients of $S_0\;and\;A_0$ mode Lamb waves in relation to the geometry of a rectangular notch when the waves propagate across the notch in an elastic plate. Firstly, the excitable modes of the Lamb wave were analyzed with respect to the plate thickness. The scattering phenomena were divided into three independent processes according to the boundary shape of the notch and the direction of the wave propagation. Linear equations for each process were derived with corresponding free or continuous boundary conditions to analyze the scattered waves. By the rule of linear superposition, the waves scattered at each process were summed for each mode. Then the steady-state reflection and transmission coefficients of the scattered waves were determined so that the difference of energy flux between the incident and the scattered waves would remain within 4%.
Keywords
Lamb; Transmission coefficient; Reflection coefficient; Scattering; Elastic Waves;
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