One-dimensional equations for coupled extensional,radial, and axial-shear motions of circular piezoelectric ceramic rods with axial poling |
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| Authors: | Bin Wu Weiqiu Chen Jiashi Yang |
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| Institution: | 1. Department of Engineering Mechanics, Zhejiang University, Zhejiang, 310027, Hangzhou, China
2. Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE, 68588-0526, USA
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| Abstract: | A system of approximate, one-dimensional partial differential equations with one spatial coordinate and time as independent variables is derived for axisymmetric motions of a piezoelectric ceramic rod of circular cross section. The equations take into account the couplings among extensional, radial and axial-shear modes. The dispersion curves for the three waves in an infinite rod are compared with analogous solutions of the three-dimensional equations. The equations obtained are useful in the modeling of ceramic rod piezoelectric transducers that are not very long and thin. |
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