Thickness-shear vibration of a rectangular quartz plate with partial electrodes

Huijing He, Jiashi Yang, John A. Kosinski, Ji Wang

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10 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)121-128
Number of pages8
JournalActa Mechanica Solida Sinica
Issue number2
StatePublished - Apr 2013
Externally publishedYes

Bibliographical note

Funding Information:
★ Corresponding author. E-mail: ★★ 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).


  • crystal
  • plate
  • three-dimensional effect
  • vibration
  • wave


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