中国物理B ›› 2013, Vol. 22 ›› Issue (8): 87704-087704.doi: 10.1088/1674-1056/22/8/087704

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

Analysis of the electrically forced vibrations of piezoelectric mesa resonators

何慧晶a b, 聂国权a, 刘金喜a, 杨嘉实b   

  1. a Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
    b Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE 68588-0526, USA
  • 收稿日期:2013-01-13 修回日期:2013-01-25 出版日期:2013-06-27 发布日期:2013-06-27
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11272222) and the National Key Basic Research Program of China (Grant No. 2012CB723300).

Analysis of the electrically forced vibrations of piezoelectric mesa resonators

He Hui-Jing (何慧晶)a b, Nie Guo-Quan (聂国权)a, Liu Jin-Xi (刘金喜)a, Yang Jia-Shi (杨嘉实)b   

  1. a Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
    b Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE 68588-0526, USA
  • Received:2013-01-13 Revised:2013-01-25 Online:2013-06-27 Published:2013-06-27
  • Contact: Yang Jia-Shi E-mail:jyang1@unl.edu
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11272222) and the National Key Basic Research Program of China (Grant No. 2012CB723300).

摘要: We study the electrically forced thickness-shear and thickness-twist vibrations of stepped thickness piezoelectric plate mesa resonators made of polarized ceramics or 6-mm class crystals. A theoretical analysis based on the theory of piezoelectricity is performed, and an analytical solution is obtained using the trigonometric series. The electrical admittance, resonant frequencies, and mode shapes are calculated, and strong energy trapping of the modes is observed. Their dependence on the geometric parameters of the resonator is also examined.

关键词: crystal, plate, resonance, resonator

Abstract: We study the electrically forced thickness-shear and thickness-twist vibrations of stepped thickness piezoelectric plate mesa resonators made of polarized ceramics or 6-mm class crystals. A theoretical analysis based on the theory of piezoelectricity is performed, and an analytical solution is obtained using the trigonometric series. The electrical admittance, resonant frequencies, and mode shapes are calculated, and strong energy trapping of the modes is observed. Their dependence on the geometric parameters of the resonator is also examined.

Key words: crystal, plate, resonance, resonator

中图分类号:  (Electromechanical resonance; quartz resonators)

  • 77.65.Fs
77.65.-j (Piezoelectricity and electromechanical effects)