title: Frequency spectra of AT-cut quartz plates with electrodes of unequal thickness.
abstract: We study vibrations of an AT-cut quartz plate with electrodes of unequal thickness. Mindlin's first-order plate theory is used. Dispersion relations for straight-crested waves in an unbounded plate and frequency spectra of modes in a finite plate are obtained. Results show that, because of the unequal thickness of the electrodes, the two originally uncoupled groups of modes are now coupled. One group consists of thickness-shear, flexure, and face-shear. The other has thickness-twist and extension. This coupling by asymmetric electrodes changes the frequency spectra and affects resonator performance. To avoid the effects of this coupling, a series of discrete values of the length/thickness ratio of the crystal plate need to be excluded.
authors.affiliation: School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, Hubei, China.
authors.forename: Jining
authors.initials: J
authors.lastname: Wang
authors.forename: Yuantai
authors.initials: Y
authors.lastname: Hu
authors.forename: Jiashi
authors.initials: J
authors.lastname: Yang