Nonaxisymmetric Waves in Layered Hollow Cylinders with Radially Polarized Piezoceramic Layers

Author: Grigorenko A.   Loza I.  

Publisher: Springer Publishing Company

ISSN: 1063-7095

Source: International Applied Mechanics, Vol.49, Iss.6, 2013-11, pp. : 641-649

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Abstract

The propagation of nonaxisymmetric waves in layered hollow cylinders with radially polarized piezoceramic layers is studied. The associated problem is solved with an effective numerical-analytic method. The original 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 standing circumferential waves and traveling axial waves. The problem is solved with the stable discrete-orthogonalization method in combination with the incremental search method. The dispersion equations are numerically analyzed over a wide range of variation in the geometrical characteristics of cylinders with piezoceramic layers