圆柱壳中圆盘状晶体压力传感器的厚度剪切振动  

Thickness-Shear Vibration of a Circular Crystal Plate in a Cylindrical Shell as a Pressure Sensor

作　　者：胡元太[1] 崔之健[2] 蒋树农[1] 杨嘉实[3] 

机构地区：[1]中南大学土木建筑学院力学与传感技术研究所,长沙410083 [2]华中科技大学力学系 [3]内布拉斯加大学工程力学系

出　　处：《应用数学和力学》2006年第6期663-668,共6页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10172036);教育部留学回国人员科研启动基金资助项目

摘　　要：以电弹性体中叠加于偏场之上的小增量场理论为基础,研究了固定在圆柱壳中的圆盘状晶体谐振器的厚度剪切振动问题,得到了环境压力所诱导的谐振器频率漂移的表达式,该表达式可用于指导压力传感器的优化设计.数值结果表明:频率漂移与环境压力成正比,并且外壳的刚度越小或者压电晶片与外壳厚度之比越小,则压力传感器的灵敏度越高.Based on the theory for small fields superposed on relatively laxger fields in an electroelastic body, a theoretical analysis was performed on a circular plate thickness-shear crystal resonator sealed in a circulax cylindrical shell for pressure measurement. A simple expression is obtained for pressure induced frequency shifts in the resonator, which is examined for design optimization. Numerical results show that the frequency shifts depend lineerly on the pressure, and that a pressure sensor with a softer outer shell or a smaller thickness ratio of the crystal plate to the outer shell has higher sensitivity.

关 键 词：压力传感器 谐振器 偏场 增量场 频率漂移 

分 类 号：O343.5[理学—固体力学] TP212[理学—力学]