径向极化压电陶瓷长圆管复合超声换能器的径向振动

提出了一种圆管式径向复合压电陶瓷换能器,并对其径向振动特性进行了分析。该换能器由径向极化的压电陶瓷圆管以及金属外圆管组成。利用解析法得出了金属圆管以及具有任意壁厚的径向极化压电陶瓷圆管径向振动的机电等效电路。基于金属圆管与压电圆管的机械边界条件,得出了换能器的六端机电等效电路。在此基础上得出了换能器共振及反共振频率方程的解析表达式,给出了换能器的共振及反共振频率与其几何尺寸之间的依赖关系。利用数值方法对换能器的径向振动特性进行了模拟及仿真,并与解析结果进行了比较。最后,设计并加工了一些径向复合管式压电陶瓷换能器,利用精密阻抗分析仪对其共振及反共振频率进行了实验测试。研究结果表明,利用解析理论得出的换能器共振及反共振频率与数值模拟结果以及实验测试结果符合很好。

Radial vibration for a radially polarized piezoelectric composite transducer

A type of radially composite piezoelectric ceramic tubular transducer in radial vibration was presented and its radial vibration was studied. The transducer is composed of a radially polarized piezoelectric ceramic tube and a metal tube. First, the radial vibration of the composite transducer is studied analytically; the electro-mechanical equivalent circuit for the radially polarized piezoelectric tube and the metal tube in radial vibration is obtained. Based on the mechanical boundary conditions, the six-port electro-mechanical equivalent circuit for the composite tubular transducer is given; the resonance/anti-resonance frequency equations are obtained. The relationship between the resonanc/antiresonance frequencies with the geometrical dimensions of the transducer is analyzed. Second, numerical method is used to simulate the radial vibration of the composite transducer, and the simulated results are compared with those from the analytical method. Third, some composite piezoelectric ceramic tubular transducer in radial vibration are designed and manufactured. The resonance/anti-resonance frequencies are measured by using Precision Impedance Analyzer. It is shown that the analytical results are in good agreement with the simulated and experimental results. It is expected that the radially composite piezoelectric ceramic tubular transducer in radial vibration can be used in ultrasonic liquid processing and sonar technology.