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Energy Trapping of Thickness-Shear and Thickness-Twist Modes in a Partially Electroded at-Cut Quartz Resonator

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Abstract

The thickness-shear and thickness-twist vibrations of a finite and partially electroded AT-cut quartz resonator are investigated. 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 free vibration resonant frequencies, mode shapes, and energy trapping are calculated and examined.

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Authors and Affiliations

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

    Huijing He, Guoquan Nie & Jinxi Liu

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

    Huijing He & Jiashi Yang

Authors
  1. Huijing He
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  2. Guoquan Nie
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  3. Jinxi Liu
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  4. Jiashi Yang
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Corresponding author

Correspondence to Jinxi Liu.

Additional information

Project supported by the National Nature Science Foundation of China (No. 10972147) and the Program for Changjiang Scholars and Innovative Research Team in University (No. IRT0971).

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He, H., Nie, G., Liu, J. et al. Energy Trapping of Thickness-Shear and Thickness-Twist Modes in a Partially Electroded at-Cut Quartz Resonator. Acta Mech. Solida Sin. 25, 579–585 (2012). https://doi.org/10.1016/S0894-9166(12)60053-6

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  • DOI: https://doi.org/10.1016/S0894-9166(12)60053-6

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