Acta Mechanica Solida Sinica

, Volume 26, Issue 2, pp 121–128 | Cite as

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

  • Huijing He
  • Jiashi Yang
  • John A. Kosinski
  • Ji Wang
Article

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.

Key words

crystal wave vibration plate three-dimensional effect 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2013

Authors and Affiliations

  • Huijing He
    • 1
  • Jiashi Yang
    • 1
  • John A. Kosinski
    • 2
  • Ji Wang
    • 3
  1. 1.Department of Engineering MechanicsUniversity of NebraskaLincolnUSA
  2. 2.Department of Chemistry, Medical Technology, and PhysicsMonmouth UniversityMonmouthUSA
  3. 3.Piezoelectric Device Laboratory, School of Mechanical Engineering and MechanicsNingbo UniversityNingboChina

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