Abstract
The thickness-shear vibrations in AT-cut quartz plates with partial electrodes including the effects of a pair of free edges are discussed in a qualitative manner. The frequencies and mode shapes as a function of plate and electrode dimensions are determined from an analysis similar to that of Mindlin and Lee. These results are compared with measured values obtained from rectangular quartz plates with rectangular electrodes. The ratio of capacitances of thickness-shear vibrations are calculated from an expression given by Lewis. These calculations indicate that the ratio of electrode length to plate length is equally as important in the suppression of anharmonic thickness-shear vibrations in finite quartz plates as is the ratio of electrode length to plate thickness (Bechmann's number).
Published Version
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