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Proceedings Paper

Eigenfrequencies of a 3D piezoelectric cylinder
Author(s): Gunnar Johansson; Anders Bostrom
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Paper Abstract

The free vibrations of a solid 3D piezoelectric cylinder of class 6 mm are investigated. First the equations of motion are reformulated with the help of three scalar potentials. This decouples the SH waves and is done in a way which is coordinate-free in the transverse coordinates. Next the modes in an infinite plate are derived in cylindrical coordinates, and this involves Bessel functions in the radial direction. A superposition of these modes is then used to form the eigenmodes of the cylinder with a finite radius. The remaining lateral boundary conditions give a determinantal condition for the eigenfrequencies. Numerical results are given and are compared with previous published results.

Paper Details

Date Published: 19 June 2000
PDF: 7 pages
Proc. SPIE 3984, Smart Structures and Materials 2000: Mathematics and Control in Smart Structures, (19 June 2000); doi: 10.1117/12.388805
Show Author Affiliations
Gunnar Johansson, Chalmers Univ. of Technology (Sweden)
Anders Bostrom, Chalmers Univ. of Technology (Sweden)

Published in SPIE Proceedings Vol. 3984:
Smart Structures and Materials 2000: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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