Nonaxisymmetric Waves in Layered Hollow Cylinders with Radially Polarized Piezoceramic Layers

Abstract

The problem of the propagation of nonaxisymmetric waves in layered hollow cylinders with axially polarized piezoceramic layers is solved using an effective numerical-analytic method. The three-dimensional problem of electroelasticity for partial differential equations is reduced to a boundary-value eigenvalue problem for ordinary differential equations by representing the components of the stiffness tensor, displacement vectors, electric-flux density, and electrostatic potential as a combination of standing circumferential waves and traveling axial waves. The problem is solved with the stable discrete-orthogonalization and incremental search methods. The dispersion equations are analyzed numerically over a wide range of geometrical characteristics of the cylinders.