Effects of mass layer dimension on a finite quartz crystal microbalance

Y. P. Kong, J. X. Liu, H. J. He, J. S. Yang

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In this paper, we investigate free thickness-shear and thickness-twist vibrations of a finite crystal resonator ofAT-cut quartz carrying a thin mass layer at the central portion of its top surface operating as a quartz crystal microbalance. The equations of anisotropic elasticity are used with the omission of the small elastic constant c56. An analytical solution is obtained using Fourier series from which the resonant frequencies, mode shapes and vibration confinement by the mass layer are calculated and examined.

Original languageEnglish (US)
Pages (from-to)103-113
Number of pages11
JournalActa Mechanica
Issue number1-2
StatePublished - Nov 2011
Externally publishedYes

Bibliographical note

Funding Information:
Acknowledgments This work is supported by the National Natural Science Foundation of China (Foundation No. 10972147), the Natural Science Foundation of Hebei Province, China (Foundation No. A2010001052), and the Program for Changjiang Scholars and Innovative Research Team in University.


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