Waves and Vibrations in Electroplated Piezoelectric Plates and Substrate Systems

摘要

In the present research, a new, infinite system of plate equations is obtained. They are applicable to piezoelectric plates of any crystal symmetry and requiring no correction factors. Firstly, a system of first-order plate equations is extracted from the infinite system, and they are employed to study the thickness shear and flexure vibrations of rectangular plates of AT- and SC- cuts of quartz and are shown to give accurate predictions in dispersion relations, frequency spectra, and capacitances without any corrections. Secondly, a system of second-order plate equations is extracted from the infinite system by a new truncation procedure, and these equations are employed to study the thickness-stretch, symmetric thickness-shear, and extensional vibrations of finite strips and circular disks of ceramics. The accuracy of the prediction is validated by the close comparison with experimental data, without any correction.