Dispersion Analysis and Material Property Identification of a Circular Piezoelectric Ridge Waveguide

Abstract

This study investigates the dispersive properties of ridge waves that travel circumferentially around piezoelectric circular ridge waveguides and investigates their resonant modes. Based on the variable separation method and Hamilton's principle, the displacement of ridge waveguides is represented as the product of a cross-sectional coordinate-dependent function and the propagator along the circumference of a circular ridge waveguide. The dispersion curves of the flexural waves and resonant frequencies corresponding to ridge waveguides are solved numerically by applying the bi-dimensional finite element method (Bi-d FEM) and using the 3D ANSYS package. The estimated impedance curves are compared with the predicted dispersion curves of waves from ridge waveguides to validate the proposed numerical approach. The geometric parameters and elastic constants of the piezoelectric circular ridge waveguide are determined through an inverse scheme that is based on the measured resonant frequencies and uses the modified simplex method. The numerical and experimental results show that, using the modified simplex method to inverse calculate the elastic constants and geometric parameters of the piezoelectric circular ridge waveguides, a good degree of accuracy and sensitivity can be achieved.