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A theoretical analysis on a rectangular energy-trapped piezoelectric thin zinc oxide film resonator operating with thickness-extensional modes is performed in this paper. The two-dimensional scalar differential equations derived by Tiersten and Stevens are used which can describe the in-plane mode distribution. Based on the scalar equations, we construct a variational formulation which provides a...
We study shear-horizontal motions of a piezoelectric ceramic cylinder with an oblate elliptical cross section and axial poling. Exact thickness-shear and thickness-twist vibration modes are obtained. These modes show energy trapping, i.e., the vibration is mainly confined near the thick, central region and decays to almost nothing near the edges. The results are useful for the understanding and design...
We study thickness-twist vibrations of a rotated Y-cut quartz plate with two pairs of electrodes. One is a known driving voltage. The other is connected to an output circuit. The structure can operate as a filter. Both free and electrically forced vibrations are studied. Resonant frequencies, mode shapes and the related energy trapping, output voltage, input admittance, and input and output powers...
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