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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
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 ([email protected])
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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.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

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