Abstract
A system of approximate, two-dimensional equations is derived for coupled extensional, thickness stretch, and symmetric thickness-shear motions of piezoelectric ceramic plates with thickness poling. Both electroded and unelectroded plates are considered. The dispersion curves for the three waves in an infinite plate determined from the derived equations are compared with analogous solutions of the three-dimensional equations with good agreement. The two-dimensional equations obtained can be used to model ceramic plate piezoelectric transducers operating with thickness stretch modes through the piezoelectric constant e33 or in-plane extensional modes through e31 when the plates are not very thin and edge effects as well as mode couplings cannot be neglected.
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