Forced axisymmetric vibrations of a thick circular rigidly fixed piezoceramic plate

A new closed-form solution of the axisymmetric nonstationary problem of elasticity is constructed for a circular thick piezoceramic plate whose outer cylindrical surface is rigidly fixed. The use of mixed boundary conditions for a curvilinear plane allows one to obtain sufficiently simple computatio...

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Bibliographic Details
Published inMechanics of solids Vol. 49; no. 4; pp. 435 - 444
Main Author Shlyakhin, D. A.
Format Journal Article
LanguageEnglish
Published Heidelberg Allerton Press 01.07.2014
Subjects
Classical Mechanics
Physics
Physics and Astronomy
thick piezoceramic plate
problem of electroelasticity
forced axisymmetric vibrations
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ISSN0025-6544
1934-7936
DOI10.3103/S0025654414040086

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Summary:A new closed-form solution of the axisymmetric nonstationary problem of elasticity is constructed for a circular thick piezoceramic plate whose outer cylindrical surface is rigidly fixed. The use of mixed boundary conditions for a curvilinear plane allows one to obtain sufficiently simple computational relations. The closed-form solution is constructed by the method of expansion in the vector eigenfunctions in the form of a structure algorithm of finite transformations. The obtained solutions are used to determine the natural vibration frequency, the stress-strain state of the considered element, and all characteristics of the induced electric field.
ISSN:0025-6544
1934-7936
DOI:10.3103/S0025654414040086