Vibration of infinite piezoelectric cylinders with anisotropic properties using cylindrical finite elements

Author

Buchanan, George R. ; Peddieson, John, Jr.

Author_Institution

Dept. of Civil Eng., Tennessee Technol. Univ., Cookeville, TN, USA

Volume

38

Issue

3

fYear

1991

fDate

5/1/1991 12:00:00 AM

Firstpage

291

Lastpage

296

Abstract

Natural frequencies for free vibration of infinite piezoelectric cylinders are computed using finite elements that are formulated in cylindrical coordinates. The finite-element method is used to model the cross-section of the cylinder in r, theta coordinates using circular sectors. Material constants that are functions of theta are allowed to vary in each circular sector and are computed using standard tensor transformations. The accuracy of the finite-element formulation is verified using previous results for isotropic cylinders and axisymmetric piezoelectric cylinders. New results are tabulated for frequencies of free vibration of solid and hollow piezoelectric cylinders of LiNbO/sub 3/ of crystal class 3m. Displacements for typical mode shapes are illustrated graphically.<>

Keywords

crystal resonators; finite element analysis; lithium compounds; LiNbO/sub 3/; circular sectors; cross-section; cylindrical finite elements; infinite piezoelectric cylinders; isotropic cylinders; mode shapes; standard tensor transformations; Anisotropic magnetoresistance; Crystalline materials; Elasticity; Engine cylinders; Equations; Finite element methods; Frequency; Lithium niobate; Tensile stress; Two dimensional displays;

fLanguage

English

Journal_Title

Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on

Publisher

ieee

ISSN

0885-3010

Type

jour

DOI

10.1109/58.79614

Filename

79614