CLC number: TU31
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 0000-00-00
Cited: 18
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WANG Ji, SHEN Li-jun. Exact thickness-shear resonance frequency of electroded piezoelectric crystal plates[J]. Journal of Zhejiang University Science A, 2005, 6(9): 980-985.
@article{title="Exact thickness-shear resonance frequency of electroded piezoelectric crystal plates",
author="WANG Ji, SHEN Li-jun",
journal="Journal of Zhejiang University Science A",
volume="6",
number="9",
pages="980-985",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0980"
}
%0 Journal Article
%T Exact thickness-shear resonance frequency of electroded piezoelectric crystal plates
%A WANG Ji
%A SHEN Li-jun
%J Journal of Zhejiang University SCIENCE A
%V 6
%N 9
%P 980-985
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0980
TY - JOUR
T1 - Exact thickness-shear resonance frequency of electroded piezoelectric crystal plates
A1 - WANG Ji
A1 - SHEN Li-jun
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 9
SP - 980
EP - 985
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2005.A0980
Abstract: The determination of the precise thickness-shear frequency of electroded crystal plates has practical importance in quartz crystal resonator design and fabrication, especially when the high fundamental thickness-shear frequency has reduced the crystal plate thickness to such a degree that proper consideration of the effect of electrodes is very important. The electrodes effect as mass loading in the estimation of the resonance frequency has to be modified to consider the stiffness of electrodes, as the relative strength is increasingly noticeable. By following a known procedure in the determination of the thickness-shear frequency of an infinite AT-cut crystal plate, frequency equations of crystal plate without and with piezoelectric effect are obtained in terms of elastic constants and the electrode material density. After solving these equations for the usual design parameters of crystal resonators, the design process can be optimized to pinpoint the precise configuration to avoid time-consuming trial and reduction steps. Since these equations and solutions are presented for widely used materials and parameters, they can be easily integrated into the existing crystal resonator design and manufacturing processes.
[1] Bleustein, J.L., Tiersten., H.F., 1968. Forced thickness-shear vibrations of discontinuously plated piezoelectric plates. J. Acoust. Soc. Am., 43(6):1311-1318.
[2] Mindlin, R.D., 1963. High Frequency Vibrations of Plated, Crystal Plates. Progress in Applied Mechanics, Macmillan, New York, p.73-84.
[3] Mindlin, R.D., 1972. High frequency vibrations of piezoelectric crystal plates. Intl. J. Solids Struct., 8:891-906.
[4] Wang, J., Yu, J.D., Yong, Y.K., Imai, T., 1999. A Layerwise Plate Theory for the Vibrations of Electroded Crystal Plates. Proceedings of the 1999 International Frequency Control Symposium, Besancon, France, p.13-16.
Open peer comments: Debate/Discuss/Question/Opinion
<1>
Zhang Lei@IMRE<zhangl@imre.a-star.edu.sg>
2014-04-24 12:31:24
This is an interesting paper I want to look at.