Energy Trapping of Thickness-Shear and Thickness-Twist Modes in a Partially Electroded at-Cut Quartz Resonator
The thickness-shear and thickness-twist vibrations of a finite and partially electroded AT-cut quartz resonator are investigated. The equations of anisotropic elasticity are used with the omission of the small elastic constant c56. An analytical solution is obtained using Fourier series from which the free vibration resonant frequencies, mode shapes, and energy trapping are calculated and examined.
Key wordsresonator thickness-shear vibration thickness-twist vibration quartz crystal
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