Effects of mode coupling on the admittance of an AT-cut quartz thickness-shear resonator  

作　　者：何慧晶 杨嘉实 张卫平 王骥 

机构地区：[1]Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln [2]1785 Pebblewood Lane, Hoffman Estates [3]Piezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University

出　　处：《Chinese Physics B》2013年第4期476-481,共6页中国物理B（英文版）

基　　金：Project supported in part by the National Natural Science Foundation of China (Grant Nos. 10932004, 11072116, and 10772087);the Doctoral Program Fund of Ministry of Education of China (Grant No. 20093305110003/JW);Additional Funds were from the Sir Y. K. Pao Chair Professorship;the K. C. Wong Magna Fund through Ningbo University;the K. C. Wong Education Foundation in Hong Kong;The project also supported in part by the US Army Research Laboratory/US Army Research Office (Grant No. W911NF-10-1-0293)

摘　　要：We study the effects of couplings to flexure and face-shear modes on the admittance of an AT-cut quartz plate thickness-shear mode resonator. Mindlin’s two-dimensional equations for piezoelectric plates are employed. Electrically forced vibration solutions are obtained for three cases： pure thickness-shear mode alone; two coupled modes of thickness shear and flexure; and three coupled modes of thickness shear, flexure, and face shear. Admittance is calculated and its dependence on the driving frequency and the length/thickness ratio of the resonator is examined. Results show that near the thickness-shear resonance, admittance assumes maxima, and that for certain values of the length/thickness ratio, the coupling to flexure causes severe admittance drops, while the coupling to the face-shear mode causes additional admittance changes that were previously unknown and hence are not considered in current resonator design practice.We study the effects of couplings to flexure and face-shear modes on the admittance of an AT-cut quartz plate thickness-shear mode resonator. Mindlin’s two-dimensional equations for piezoelectric plates are employed. Electrically forced vibration solutions are obtained for three cases： pure thickness-shear mode alone; two coupled modes of thickness shear and flexure; and three coupled modes of thickness shear, flexure, and face shear. Admittance is calculated and its dependence on the driving frequency and the length/thickness ratio of the resonator is examined. Results show that near the thickness-shear resonance, admittance assumes maxima, and that for certain values of the length/thickness ratio, the coupling to flexure causes severe admittance drops, while the coupling to the face-shear mode causes additional admittance changes that were previously unknown and hence are not considered in current resonator design practice.

关 键 词：QUARTZ plate RESONANCE RESONATOR 

分 类 号：TN629.1[电子电信—电路与系统]