Overtone Modes in an At-Cut Quartz Trapped-Energy Resonator with Elliptical Electrodes

• Authors: Long Li , Zhi Wang
• Languages of publication: EN

Abstracts

EN

We analyze thickness-shear vibrations of an at-cut quartz plate with elliptical electrodes. The electrodes are essentially optimal in the sense of Mindlin in that they approximately satisfy the criterion for the Bechmann number in every direction. The scalar differential equation derived by Tiersten and Smythe is used which allows us to obtain the overtone modes in addition to the fundamental modes.

Keywords

EN

quartz   resonator   thickness-shear vibration   elliptical   overtone modes  

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 131
• Issue: 2
• Pages: 294-296

Dates

published

2017-02

received

2016-1-028

(unknown)

2017-01-06

References

• [1] R.D. Mindlin, J. Acoust. Soc. Am. 43, 1329 (1968), doi: 10.1121/1.1910989
• [2] K. Nakamura, R. Yasuike, K. Hirama, H. Shimizu, in: Proc. IEEE 44th Annual Symp. on Frequency Control, 1990, p. 372, doi: 10.1109/FREQ.1990.177522
• [3] Z.T. Yang, J.S. Yang, Y.T. Hu, Appl. Phys. Lett. 92, 103516 (2008), doi: 10.1063/1.2896998
• [4] Z.T. Yang, J.S. Yang, IEEE Trans. Ultrason. Ferroelect. Freq. Contr. 56, 237 (2009), doi: 10.1109/TUFFC.2009.1030
• [5] L.M. Xu, Y.L. Geng, Y.T. Hu, H. Fan, J.S. Yang, IEEE Trans. Ultrason. Ferroelect. Freq. Contr. 56, 875 (2009), doi: 10.1109/TUFFC.2009.1112
• [6] T.F. Ma, C. Zhang, X.N. Jiang, G.P. Feng, Chin. Phys. B 20, 047701 (2011), doi: 10.1088/1674-1056/20/4/047701
• [7] W.J. Wang, R.X. Wu, J. Wang, J.K. Du, J.S. Yang, IEEE Trans. Ultrason. Ferroelect. Freq. Contr. 60, 1192 (2013), doi: 10.1109/TUFFC.2013.2681
• [8] H.F. Tiersten, R.C. Smythe, J. Acoust. Soc. Am. 65, 1455 (1979), doi: 10.1109/FREQ.1975.200065

Identifiers

DOI

10.12693/APhysPolA.131.294