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Problems of radially polarized piezoelastic bodies

โœ 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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โœฆ 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#[


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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

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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