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Effects of mass layer dimension on a finite quartz crystal microbalance

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Abstract

In this paper, we investigate free thickness-shear and thickness-twist vibrations of a finite crystal resonator of AT-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.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Y. P. Kong & J. X. Liu

  2. Department of Engineering Mechanics, University of Nebraska, Lincoln, NE, 68588-0526, USA

    H. J. He & J. S. Yang

Authors
  1. Y. P. Kong
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  2. J. X. Liu
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  3. H. J. He
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  4. J. S. Yang
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Correspondence to J. X. Liu.

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Kong, Y.P., Liu, J.X., He, H.J. et al. Effects of mass layer dimension on a finite quartz crystal microbalance. Acta Mech 222, 103 (2011). https://doi.org/10.1007/s00707-011-0522-y

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  • DOI: https://doi.org/10.1007/s00707-011-0522-y

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