Date of this Version
Huijing He, et al. "Thickness-Shear Vibration Of A Rectangular Quartz Plate With Partial Electrodes" Acta Mechanica Solida Sinica Vol. 26 Iss. 2 (2013) p. 121 - 128
We study free vibration of a thickness-shear mode crystal resonator of AT-cut quartz. The resonator is a rectangular plate partially and symmetrically electroded at the center with rectangular electrodes. A single-mode, three-dimensional equation governing the thickness-shear displacement is used. A Fourier series solution is obtained. Numerical results calculated from the series show that there exist trapped thickness-shear modes whose vibration is mainly under the electrodes and decays rapidly outside the electrodes. The eﬀects of the electrode size and thickness on the trapped modes are examined.