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

Li, Long; Wang, Zhi

doi:10.12693/APhysPolA.131.294

Journal

Acta Physica Polonica A

2017 | 131 | 2 | 294-296

Article title

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

Authors

Long Li , Zhi Wang

Content

Full texts:

http://przyrbwn.icm.edu.pl/APP/PDF/131/a131z2p16.pdf [remote]

Title variants

Languages of publication

Abstracts

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

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

Pages

294-296

Physical description

Dates

published

2017-02

received

2016-1-028

(unknown)

2017-01-06

Contributors

author

Long Li

School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou 450001, China

author

Zhi Wang

School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou 450001, China

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

Document Type

Publication order reference

Identifiers

DOI

10.12693/APhysPolA.131.294

YADDA identifier

bwmeta1.element.bwnjournal-article-appv131n216kz