Acta Mechanica Solida Sinica

, Volume 25, Issue 6, pp 579–585 | Cite as

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

Article

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.

Key words

resonator thickness-shear vibration thickness-twist vibration quartz crystal 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2012

Authors and Affiliations

  • Huijing He
    • 1
    • 2
  • Guoquan Nie
    • 1
  • Jinxi Liu
    • 1
  • Jiashi Yang
    • 2
  1. 1.Department of Engineering MechanicsShijiazhuang Tiedao UniversityShijiazhuangChina
  2. 2.Department of Engineering MechanicsUniversity of NebraskaLincolnUSA

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