In this paper, three displacement functions are introduced to simplify the basic equations of a radially polarized, spherically isotropic, piezoelectric medium with radial inhomogeneity. For the general non-axisymmetric free vibration problem, it is shown that the controlling equations are "nally re
Problems of radially polarized piezoelastic bodies
โ Scribed by Wei-Qiu Chen
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 478 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0020-7683
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โฆ Synopsis
In this paper\ three displacement functions are introduced to simplify the basic equations of a radially polarized\ spherically isotropic\ piezoelectric medium[ By expanding the displacement functions as well as the electric potential in terms of spherical harmonics\ the basic equations are converted to an uncoupled Euler type\ second!order ordinary di}erential equation and a coupled system of three such ones[ Based on the well!known solution to the Euler equation\ the general solution for the static problem is obtained[ Some axisymmetric problems are then considered[ It is noted that the present analysis is an extension of that of spherically isotropic pure elasticity "Chen\ 0855#[
๐ SIMILAR VOLUMES
Electroelastic equations are established for the axisymmetric vibrations of radially polarized piezoelectric ceramic long tubes, whose cylindrical surfaces are electroded and subjected to an alternating voltage. Closed-type solutions are obtained for the mechanical radial displacement and electric p