An mode-matching approach for ridge-guided wave investigation

Abstract

• A analytical model of topography guided wave is developed via partial plate mode decomposition. • Effectiveness on dispersion curve prediction is revealed. • Mode shape of the guided wave can be explored. • Six high-frequency ridge guided modes are found. 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.