Page 183 - 201805

第 37 卷 第 5 期 Vol. 37, No.5
2018 年 9 月 Journal of Applied Acoustics September, 2018

纪念应崇福院士诞辰100周年

钹型换能器的优化设计 ∗

刘金河 林书玉 †

(陕西师范大学 陕西省超声学重点实验室 西安 710119)
摘要 该文研究的钹型换能器，是由一个压电陶瓷圆环和一个金属浅球壳组成。该文主要分析这种钹型换能
器的解析解和它在不同介质中的机电性能。首先，根据前人得出的压电陶瓷圆环和金属浅球壳的理论模型，用
等效电路法从理论上计算出了该换能器的共振频率并与仿真结果做了对比，发现二者近似吻合，验证了理论
计算的可靠性。然后，利用 COMSOL Multiphysics 分别模拟了压电陶瓷为圆盘和圆环的钹型换能器的共振频
率。仿真结果表明：同等条件下，当圆环的外径和圆盘的半径相等时，压电陶瓷为圆环的钹型换能器共振频率
更低，使其具有频率低、体积小的特点更加明显。利用数值方法，分析了钹型换能器的几何尺寸对其共振频率、
反共振频率及有效机电耦合系数的影响。最后，模拟了钹型换能器在水中的机电特性及声压分布。该文的研
究对优化钹型换能器的结构具有一定的指导意义。
关键词 压电陶瓷圆环，金属浅球壳，共振频率，等效电路法
中图法分类号: O426 文献标识码: A 文章编号: 1000-310X(2018)05-0765-07
DOI: 10.11684/j.issn.1000-310X.2018.05.023

Optimization design of Cymbal transducer

LIU Jinhe LIN Shuyu

(Shaanxi Normal University, Shaanxi Key Laboratory of Ultrasound, Xi’an 710119, China)

Abstract The Cymbal transducer studied in this paper consists of a piezoelectric ceramic ring and a metal
shallow spherical shell. This paper mainly analyzes the analytical solution of the Cymbal transducer and
its electromechanical properties in different media. Firstly, according to the previous theoretical model of
piezoelectric ceramic ring and metal shallow spherical shell, the resonance frequency of the transducer is
calculated theoretically by equivalent circuit method. By comparing with the simulation results, it is found
that the two are basically consistent with each other, which verifies the reliability of the theoretical calculation.
Then, the resonant frequency of Cymbal transducers with piezoelectric ceramics as disk and ring were simulated
by COMSOL, respectively. The simulation results show that the resonant frequency of Cymbal transducer with
ring is lower when the outer radius of the ring and the radius of the disk are equal under the same conditions,
which makes it have more prominent characteristics of low frequency and small volume. By means of numerical
method, the relationship between the geometrical dimension and the resonance frequency, the anti-resonance
frequency and the effective electro-mechanical coupling coefficient are obtained. Finally, the electro-mechanical
characteristics and sound pressure distribution of Cymbal transducer in water are simulated. The research of
this paper has certain guiding significance to optimize the structure of cymbal transducer.
Key words Piezoelectric ceramic ring, Metal shallow spherical shell, Resonance frequency, Equivalent circuit
method

2018-06-28 收稿; 2018-08-02 定稿
国家自然科学基金项目 (11474192, 11674206)
∗
作者简介: 刘金河 (1992- ), 男, 甘肃庆阳人, 硕士研究生, 研究方向: 功率超声。
† 通讯作者 E-mail: sylin@snnu.edu.cn