Energy trapping of thickness-shear and thickness-twist modes in a partially electroded AT-cut quartz resonator

Huijing He, Guoquan Nie, Jinxi Liu, Jiashi Yang

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5 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)579-585
Number of pages7
JournalActa Mechanica Solida Sinica
Volume25
Issue number6
DOIs
StatePublished - Dec 2012
Externally publishedYes

Bibliographical note

Funding Information:
★ Corresponding author. E-mail: liujx02@hotmail.com ★★ 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).

Keywords

  • quartz crystal
  • resonator
  • thickness-shear vibration
  • thickness-twist vibration

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