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Effect of an Array of Hemispherical Substance-Units Immersed in Liquid on the Thickness-Shear Vibrations of a Quartz Crystal Plate

Published online by Cambridge University Press:  04 May 2015

X. Xie ,
L.-C. Kong ,
Y.-X. Wang ,
J. Zhang  and
Y.-T. Hu
X. Xie
Affiliation:
Department of Mechanics Huazhong University of Science and Technology Wuhan, China
L.-C. Kong
Affiliation:
Department of Mechanics Huazhong University of Science and Technology Wuhan, China
Y.-X. Wang
Affiliation:
Department of Mechanics Huazhong University of Science and Technology Wuhan, China
J. Zhang
Affiliation:
Department of Mechanics Huazhong University of Science and Technology Wuhan, China
Y.-T. Hu*
Affiliation:
Department of Mechanics Huazhong University of Science and Technology Wuhan, China
*
* Corresponding author (hudeng@263.net)
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Abstract

The paper studied the effect of an array of hemispherical substance-units (HSUs) immersed in inviscid and incompressible liquid on resonance frequency of a quartz crystal resonator (QCR) under the thickness-shear mode (TSM) vibrations. A dynamic model of the compound QCR system, consisting of a QCR and HSUs, was established in advance. The frequency equation of the compound QCR system including the liquid-solid coupling was derived subsequently. Numerical results showed the frequency-shift characteristics of the compound system. The obtained results are useful in resonator design and applications.

Keywords

Quartz crystal resonatorFrequency-shiftHemispherical substance-unitsLiquid-solid coupling
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 5 , October 2015 , pp. 591 - 595
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

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References

1.Sauerbrey, G., “Verwendung Von Schwingquarzen Zur Wägung Dünner Schichten Und Zur Mikrowägung,” Zeitschrift Für Physik, 155, pp. 206–222 (1959).CrossRefGoogle Scholar
2.Benes, E., Groschl, M., Seifert, F. and Pohl, A., “Comparison Between BAW and SAW Sensor PrinCiples,” IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 45, pp. 1314–1330 (1998).Google Scholar
3.Vig, J. R. and Ballato, A., “Comments About the Effects of Nonuniform Mass Loading on a Quartz Crystal Microbalance,” IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 45, pp. 1123–1124 (1998).CrossRefGoogle ScholarPubMed
4.Liu, N., Yang, J. S. and Wang, J., “Shear Vibration of a Crystal Plate Carrying an Array of Mi-crobeams,” Philosophical Magazine Letters, 91, pp. 572–581 (2011).CrossRefGoogle Scholar
5.Zhang, R. Y., Xie, J. M., Hu, Y. T., Yang, J. S. and Chen, X. D., “Thickness-Shear Vibration of an Elastic Plate Carrying an Array of Rigid Microbeams with Consideration of Couple Stresses,” International Journal of Engineering Science, 51, pp. 179–189 (2012).CrossRefGoogle Scholar
6.Hu, Y. T., Hu, H. L., Luo, B., Xue, H., Xie, J. M. and Wang, J., “Frequency Shift of a Crystal Quartz Reso-Nator in Thickness-Shear Modes Induced by an Array of Hemispherical Material Units,” IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 60, pp. 1777–1782 (2013).Google Scholar
7.Basak, S. and Raman, A., “Hydrodynamic Coupling Between Micromechanical Beams Oscillating in Vis-Cous Fluids,” Physics of Fluids, 19, p. 017105, pp. 017101–017113 (2007).Google Scholar
8.Urbakh, M. and Daikhin, L., “Rough Effect on the Fre-Quency of a Quartz-Crystal Resonator in Contact with a Liquid,” Physical Review B, 49, pp. 4866–4870 (1994).Google Scholar
9.Yang, J. S., An Introduction to the Theory of Piezoelectricity, Springer, New York, pp. 290–294 (2005).Google Scholar