Abstract
We study thickness-shear and thickness-twist vibrations of a finite, monolithic, AT-cut quartz plate crystal filter with two pairs of electrodes. 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 resonant frequencies, mode shapes, and the vibration confinement due to the electrode inertia are calculated and examined.
Original language | English (US) |
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Pages (from-to) | 991-996 |
Number of pages | 6 |
Journal | Ultrasonics |
Volume | 51 |
Issue number | 8 |
DOIs | |
State | Published - Dec 2011 |
Externally published | Yes |
Bibliographical note
Funding Information:This work is supported by the National Natural Science Foundation of China (No. 10972147) as well as the Program for Changjiang Scholars and Innovative Research Team in University (No. IRT0971).
Keywords
- Crystal
- Plate
- Quartz
- Thickness-shear vibration
- Thickness-twist vibration