A new type of piezoceramic acoustic resonator in the form of a circular disk with a radial exciting electric field is presented. The advantage of this type of resonator is the localization of the electrodes at one end of the disk, which leaves the second end free for the contact of the piezoelectric material with the surrounding medium. This makes it possible to use such a resonator as a sensor base for analyzing the properties of this medium. The problem of exciting such a resonator by an electric field of a given frequency is solved using a two-dimensional finite element method. The method for solving the inverse problem for determining the characteristics of a piezomaterial from the broadband frequency dependence of the electrical impedance of a single resonator is proposed. The acoustic and electric field inside the resonator is calculated, and it is shown that this location of electrodes makes it possible to excite radial, flexural, and thickness extensional modes of disk oscillations. The dependences of the frequencies of parallel and series resonances, the quality factor, and the electromechanical coupling coefficient on the size of the electrodes and the gap between them are calculated.

中文翻译：

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径向电场激励圆盘压电陶瓷声谐振器及其性能

提出了一种新型的圆弧形压电陶瓷声谐振器，具有径向激励电场。这种谐振器的优点是电极位于圆盘的一端，这使第二端自由地用于压电材料与周围介质的接触。这使得可以使用这种谐振器作为传感器基座来分析该介质的特性。使用二维有限元方法解决了通过给定频率的电场激励这种谐振器的问题。提出了一种用于从单个谐振器的电阻抗的宽带频率依赖性来确定压电材料的特性的反问题的方法。计算出谐振器内部的声场和电场，结果表明，电极的这种位置可以激发盘振动的径向，挠曲和厚度扩展模式。计算出并联和串联谐振的频率，品质因数和机电耦合系数对电极尺寸及其之间的间隙的依赖性。