Characteristics of complete circumferential guided wave in a piezoelectric semiconductor cylindrical shell

Abstract

In this paper, the characteristics of circumferential Lamb-like wave in a cylindrical shell of N-type piezoelectric semiconductor are investigated by employing the analytic Legendre orthogonal polynomial method (ALOPM). Based on the linear phenomenological theory, the governing differential equations are derived for different electrical boundary conditions, and transformed into a matrix eigenvalues problem via using the ALOPM. The dispersion solutions for a piezoelectric semiconductor cylindrical shell with big radius-thickness ratio obtained from the ALOPM are verified by comparing with the results from the global matrix method (GMM). Three-dimensional spectrum is plotted for a better observation. The spectrum of piezoelectric semiconductor is symmetrically distributed about the frequency axis, which is different from the piezoelectric dielectric material. The effects of different electrical boundary conditions, steady-state carrier density and radius-thickness ratio on phase velocity dispersion curves are illustrated. The amplitude distributions of displacement, electric potential and perturbation of the carrier density are studied. The effects of steady-state carrier density on the stress distribution are also illustrated. Non-propagating wave modes with low attenuation and high phase velocity value are found. The corresponding results presented in this work can be used to optimize the design of piezoelectric semiconductor acoustic wave devices.