Abstract
Solutions are obtained for the thickness-twist and face-shear vibrations in a crystal plate with a linearly varying thickness. The results are compared to those obtained for a plate of constant thickness. It is found that the frequency of the lowest thickness-twist mode of a linearly tapered plate is only slightly higher than the frequency of the lowest thickness-twist mode of a uniform plate of the same maximum thickness. It is also found that the frequencies of the face-shear modes in a tapered plate differ very little from those in a uniform plate.
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