• DocumentCode
    1784077
  • Title

    Finite element analysis of circular quartz resonators using scalar differential equation and COMSOL

  • Author

    Jun-jie Shi ; Cui-ying Fan ; Ming-hao Zhao ; Jia-shi Yang

  • Author_Institution
    Sch. of Mech. & Eng. Sci., Zhengzhou Univ., Zhengzhou, China
  • fYear
    2014
  • fDate
    Oct. 30 2014-Nov. 2 2014
  • Firstpage
    33
  • Lastpage
    36
  • Abstract
    We study free vibrations of a circular AT-cut quartz resonator using the two-dimensional scalar differential equation by Tiersten and Smythe in conjunction with COMSOL. Resonant frequencies and mode shapes are obtained and compared with available experimental results as well as available analytical solutions of the scalar equation. The accuracy of various analytical solutions is examined.
  • Keywords
    crystal resonators; differential equations; finite element analysis; vibrations; COMSOL; analytical solutions; circular AT-cut quartz resonator; finite element analysis; free vibrations; resonant frequency; two-dimensional scalar differential equation; Educational institutions; Equations; Materials; Mathematical model; Piezoelectricity; Resonant frequency; Vibrations; COMSOL; Crystal resonators; Quartz plate; Thickness shear;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA), 2014 Symposium on
  • Conference_Location
    Beijing
  • Print_ISBN
    978-1-4799-6424-6
  • Type

    conf

  • DOI
    10.1109/SPAWDA.2014.6998519
  • Filename
    6998519