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An mode-matching approach for ridge-guided wave investigation

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Abstract An analytical method based on partial wave decomposition, mode matching and transverse resonant analysis is proposed to solve the pure feature-guided modes in a rectangular elastic ridge embedded in… Click to show full abstract

Abstract An analytical method based on partial wave decomposition, mode matching and transverse resonant analysis is proposed to solve the pure feature-guided modes in a rectangular elastic ridge embedded in a flat plate. Compared with the semi-analytical finite element (SAFE) models and experiment results, the effectiveness of the method on dispersion curve and some mode shape calculation are proven. Without the drawbacks of the SAFE, which induced by insufficient discretization at high frequencies and large additional absorption zones at low frequencies, the method can render more accurate results wherein. As a result, in a symmetrically embedded ridge, four more non-leaky ridge-guided modes, meaningful for nondestructive evaluation are founded, with the dispersion curves and most of the mode shapes precisely predicted.

Keywords: ridge guided; ridge; matching approach; approach ridge; mode matching; mode

Journal Title: Applied Mathematical Modelling
Year Published: 2019

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