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Radiation impedance and equivalent circuit for piezoelectric ultrasonic composite transducers of vibrational mode-conversion

机译:振动模式转换的压电超声复合换能器的辐射阻抗及等效电路

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摘要

The piezoelectric ultrasonic composite transducer, which can be used in either gas or liquid media, is studied in this paper. The composite transducer is composed of a longitudinal sandwich piezoelectric transducer, a mechanical transformer, and a metal circular plate in flexural vibration. Acoustic radiation is produced by the flexural circular plate, which is excited by the longitudinal sandwich transducer and transformer. Based on the classic flexural theory of plates, the equivalent lumped parameters for a plate in axially symmetric flexural vibration with free boundary conditions are obtained. The radiation impedance of the plate is derived and the relationship between the radiation impedance and the frequency is analyzed. The equivalent circuits for the plate in flexural vibration and the composite transducer are given. The vibrational modes and the harmonic response of the composite piezoelectric transducer are simulated by the numerical method. Based on the theoretical and numerical analysis, two composite piezoelectric ultrasonic transducers are designed and manufactured, their admittance-frequency curves are measured, and the resonance frequency is obtained. The flexural vibrational displacement distribution of the transducer is measured with a laser scanning vibrometer. It is shown that the theoretical results are in good agreement with the measured resonance frequency and the displacement distribution.
机译:本文研究了可在气体或液体介质中使用的压电超声复合换能器。复合换能器由纵向夹心压电换能器,机械变压器和弯曲振动的金属圆板组成。弯曲圆形板产生声辐射,该弯曲辐射板由纵向三明治换能器和变压器激励。基于经典的板弯曲理论,获得了具有自由边界条件的轴对称弯曲振动中板的等效集总参数。推导出板的辐射阻抗,并分析了辐射阻抗与频率之间的关系。给出了板在弯曲振动和复合换能器中的等效电路。用数值方法模拟了复合压电换能器的振动模式和谐波响应。在理论和数值分析的基础上,设计制造了两种复合压电超声换能器,测量了它们的导纳频率曲线,得到了共振频率。用激光扫描振动计测量换能器的挠曲振动位移分布。结果表明,理论结果与实测共振频率和位移分布吻合良好。

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