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A study concerning the propagation of free non-axisymmetric waves in a homogeneous
piezoelectric cylinder of transversely isotropic material with axial polarization is carried
out on the basis of the linear theory of elasticity and linear electro-mechanical coupling.
The solution of the three dimensional equations of motion and quasi-electrostatic equation
is given in terms of seven mechanical and three electric potentials. The characteristic equations
are obtained by the application of the mechanical and two types of electric boundary
conditions at the surface of the piezoelectric cylinder. A novel method of displaying dispersion
curves is described in the paper and the resulting dispersion curves are presented for
propagating and evanescent waves for PZT-4 and PZT-7A piezoelectric ceramics for circumferential
wave numbers m = 1, 2, and 3. It is observed that the dispersion curves are sensitive
to the type of the imposed boundary conditions as well as to the measure of the
electro-mechanical coupling of the material.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:tut/oai:encore.tut.ac.za:d1001768 |
| Date | 13 March 2008 |
| Creators | Shatalov, MY, Every, AC, Yenwong-Fai, AS |
| Publisher | Elsevier |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | |
| Rights | c2008 Elsevier Ltd |
| Relation | International Journal of Solids and Structures |
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