薄圆桶压电振子的弯曲振动分析

发布时间：2019-02-08 20:10

【摘要】：薄圆桶压电振子是薄金属圆桶底部粘合压电陶瓷圆片的振动元件。文章利用瑞利—里兹法,采用弹性边界约束条件,对薄圆桶压电振子的振动特性进行理论分析,推导得到压电振子振动频率方程,通过数值计算分析支撑结构对压电振子频率的影响,为该类传感器的研制提供设计依据。经分析计算,当压电振子中陶瓷圆片结构确定时,振子的谐振频率随支撑结构厚度的增加、半径的减小而增大。其中当金属底面厚度与振子总厚度之比在0.5~0.75之间时,振子谐振频率变化缓慢,当两者厚度比超过0.75后,谐振频率迅速增高;而当压电圆片与支撑结构半径比在0.4~0.9之间变化时,振子谐振频率随两者半径比的增大而增加,变化斜率也略有增大。
[Abstract]:Thin barrel piezoelectric vibrator is a vibration element which adheres piezoelectric ceramic wafer to the bottom of thin metal drum. In this paper, using the Rayleigh-Ritz method and the elastic boundary constraint condition, the vibration characteristics of the thin circular bucket piezoelectric oscillator are theoretically analyzed, and the vibration frequency equation of the piezoelectric vibrator is derived. The influence of support structure on the frequency of piezoelectric vibrator is analyzed by numerical calculation, which provides the basis for the design of this kind of sensor. By analysis and calculation, when the ceramic wafer structure in the piezoelectric oscillator is determined, the resonant frequency of the oscillator increases with the increase of the thickness of the supporting structure and the decrease of the radius. When the ratio of the metal bottom thickness to the total thickness of the oscillator is between 0.5 and 0.75, the resonant frequency changes slowly, and when the thickness ratio exceeds 0.75, the resonant frequency increases rapidly. When the radius ratio of the piezoelectric wafer to the supporting structure varies between 0.4 and 0.9, the resonant frequency increases with the increase of the radius ratio, and the slope increases slightly.
【作者单位】：沈阳化工大学计算机科学与技术学院;北京信息科技大学传感器重点实验室;
【基金】：国家自然科学基金资助项目(No.61102041) 辽宁省高等学校优秀人才支持计划(LJQ2013043) 北京市教委科技计划重点项目(KZ201110772040)
【分类号】：TB53

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