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.
Published Version
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