Thickness-Shear Vibration of a Rectangular Quartz Plate with Partial Electrodes
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.
Key wordscrystal wave vibration plate three-dimensional effect
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- Mindlin, R.D. and Gazis, D.C., Srong resonances of rectangular AT-cut quartz plates. Proceedings of the Fourth U.S. National Congress of Applied Mechanics, 1962, 305–310.Google Scholar
- Zhang, C.L., Chen, W.Q. and Yang, J.S., Electrically forced vibration of a rectangular piezoelectric plate of monoclinic crystals. International Journal of Applied Electromagnetics and mechanics, 2009, 31: 207–218.Google Scholar
- Tiersten, H.F., Linear Piezoelectric Plate Vibrations. New York: Plenum, 1969.Google Scholar
- Meitzler, A.H., Berlincourt D., Welsh, F.S., III, Tiersten, H.F., Coquin, G.A. and Warner, A.W., IEEE Standard on Piezoelectricity. IEEE, New York, 1988.Google Scholar