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Thickness-Shear Vibration of a Rectangular Quartz Plate with Partial Electrodes

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Abstract

We study free vibration of a thickness-shear mode crystal resonator of AT-cut quartz. The resonator is a rectangular plate partially and symmetrically electroded at the center with rectangular electrodes. A single-mode, three-dimensional equation governing the thickness-shear displacement is used. A Fourier series solution is obtained. Numerical results calculated from the series show that there exist trapped thickness-shear modes whose vibration is mainly under the electrodes and decays rapidly outside the electrodes. The effects of the electrode size and thickness on the trapped modes are examined.

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Authors and Affiliations

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

    Huijing He & Jiashi Yang

  2. Department of Chemistry, Medical Technology, and Physics, Monmouth University, West Long Branch, Monmouth, NJ, 07764-1898, USA

    John A. Kosinski

  3. Piezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo, 315211, China

    Ji Wang

Authors
  1. Huijing He
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  2. Jiashi Yang
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  3. John A. Kosinski
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  4. Ji Wang
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Corresponding author

Correspondence to Ji Wang.

Additional information

Project supported by the National Natural Science Foundation of China (No. 10932004), the Doctoral Program Fund of the Ministry of Education of China (No. 20093305110003), the K. C. Wong Magna Fund of Ningbo University and the U.S. Army Research Office (No. W911NF-10-1-0293).

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He, H., Yang, J., Kosinski, J.A. et al. Thickness-Shear Vibration of a Rectangular Quartz Plate with Partial Electrodes. Acta Mech. Solida Sin. 26, 121–128 (2013). https://doi.org/10.1016/S0894-9166(13)60012-9

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  • DOI: https://doi.org/10.1016/S0894-9166(13)60012-9

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