压电双晶片弯曲振动频率方程及其位移解

doi:10.3969/j.cnki.jdxb.2017.03.004

吉首大学学报（自然科学版）

压电双晶片弯曲振动频率方程及其位移解

贺西平，李蔷

（1.陕西师范大学应用声学研究所，陕西西安 710062；2.陕西师范大学出版总社，陕西西安 710062）

出版日期:2017-05-25 发布日期:2017-06-19

Piezoelectric Ceramic Bimorph in Bending Vibration

HE Xiping,LI Qiang

(1.Applied Acoustics Institute,Shaanxi Normal University,Xi'an 710062,China;2.Shaanxi Normal University General Publishing House,Xi'an 710062,China)

Online:2017-05-25 Published:2017-06-19
About author:HE Xiping(1965—),male,was born in Yongxin County,Jiangxi Provnice,Ph. D degree,professor and doctoral supervisor of school of physics & information technology,Shaanxi Normal University;research areas are design of power ultrasonic vibration system and ultrasonic inspection and measurement.
Supported by:
National Natural Science Foundation of China (11374201)

摘要/Abstract

摘要：

利用小挠度理论推导设计压电双晶片弯曲振动的频率方程，得到其弯曲振动位移解.利用有限元方法计算压电双晶片弯曲振动的谐振频率.对研制的压电双晶片振子测得其谐振频率，测试结果与有限元计算结果、利用压电方程和小挠度理论推导的频率方程求得的结果相吻合.这说明，所推导的频率方程可于设计自由边界压电双晶片振子.

关键词： 压电双晶片, 弯曲振动, 自由边界, 频率方程

Abstract:

Based on the small deflection bending vibration theory,the general displacement solution and the resonant frequency equation for a piezoelectric ceramic bimorph are derived.Meanwhile,the resonant frequencies of the piezoelectric ceramic bimorph are calculated by finite element method (FEM).A piezoelectric ceramic bimorph is manufactured and its resonant frequencies are measured.It shows that the tested resonant frequencies are almost in good agreement with ones by analytical and FEM methods.It manifests the effectiveness of the presented theory for design of a PCB in this work.

Key words: piezoelectric ceramic bimorph, bending vibration, design, free edge, resonant frequency

贺西平，李蔷. 压电双晶片弯曲振动频率方程及其位移解[J]. 吉首大学学报（自然科学版）, DOI: 10.3969/j.cnki.jdxb.2017.03.004.

HE Xiping,LI Qiang. Piezoelectric Ceramic Bimorph in Bending Vibration[J]. Journal of Jishou University（Natural Sciences Edition), DOI: 10.3969/j.cnki.jdxb.2017.03.004.

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压电双晶片弯曲振动频率方程及其位移解

Piezoelectric Ceramic Bimorph in Bending Vibration

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