首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Effects of middle plane curvature on vibrations of a thickness-shear mode crystal resonator
Authors:Jiashi Yang  Xiaomeng Yang  Joseph A Turner  John A Kosinski  Robert A Pastore  Jr  Weiping Zhang
Institution:aDepartment of Engineering Mechanics, University of Nebraska, Lincoln, NE 68588-0526, USA;bU.S. Army CECOM, ATTN: AMSEL-RD-IW-S, Fort Monmouth, NJ 07703-5211, USA;c1785 Pebblewood Lane, Hoffman Estates, IL 60195, USA
Abstract:We study the effects of a small curvature of the middle plane of a thickness-shear mode crystal plate resonator on its vibration frequencies, modes and acceleration sensitivity. Two-dimensional equations for coupled thickness-shear, flexural and extensional vibrations of a shallow shell are used. The equations are simplified to a single equation for thickness-shear, and two equations for coupled thickness-shear and extension. Equations with different levels of coupling are used to study vibrations of rotated Y-cut quartz and langasite resonators. The influence of the middle plane curvature and coupling to extension is examined. The effect of middle plane curvature on normal acceleration sensitivity is also studied. It is shown that the middle plane curvature causes a frequency shift as large as 10−8 g−1 under a normal acceleration. These results have practical implications for the design of concave–convex and plano-convex resonators.
Keywords:
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号