THICKNESS-SHEAR VIBRATION OF A RECTANGULAR QUARTZ PLATE WITH PARTIAL ELECTRODES  

作　　者：Huijing He Jiashi Yang John A. Kosinski Ji Wang 

机构地区：[1]Department of Engineering Mechanics,University of Nebraska,Lincoln,NE 68588-0526,USA [2]Department of Chemistry,Medical Technology,and Physics,Monmouth University,West Long Branch,NJ 07764-1898,USA [3]Piezoelectric Device Laboratory,School of Mechanical Engineering and Mechanics,Ningbo University

出　　处：《Acta Mechanica Solida Sinica》2013年第2期121-128,共8页固体力学学报（英文版）

基　　金：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;the U.S. Army Research Office (No. W911NF-10-1-0293)

摘　　要：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.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.

关 键 词：crystal wave VIBRATION PLATE three-dimensional effect 

分 类 号：TN384[电子电信—物理电子学]