Contour extensional resonant properties of rectangular piezoelectric plates

Abstract
This paper describes the results of an extensive theoretical study on the elastic contour extensional modes of planarly isotropic, rectangular piezoelectric plates. Results include numerical data on the resonant frequency, displacement pattern, and dynamic capacitance or dynamic coupling coefficient of the first fifty modes as a function of the length-to-width ratio. It is found that the resonances of this type of plate may be divided into four distinct and decoup1ed symmetry families. Calculated values for the resonant frequency vary in accuracy from about 0.2% for the first mode of each family to 1% for the twelfth mode. Dynamic coupling coefficient calculations are accurate to about 10%.

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