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横向电场谐振器的几何形状对其谐振特性的影响研究。

The study of the influence of the geometry of a lateral electric field resonator on its resonant characteristics.

作者信息

Teplykh Andrey, Zaitsev Boris, Semyonov Alexander, Borodina Irina

机构信息

Kotelnikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Saratov Branch, Saratov 410019, Russia.

Kotelnikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Saratov Branch, Saratov 410019, Russia.

出版信息

Ultrasonics. 2024 Aug;142:107386. doi: 10.1016/j.ultras.2024.107386. Epub 2024 Jun 22.

DOI:10.1016/j.ultras.2024.107386
PMID:38971006
Abstract

An experimental study of the dependence of the electrical impedance of a lateral electric field resonator on its thickness and the size of the gap between the electrodes was carried out. The resonator was made of PZT-19 piezoceramics in the form of a rectangular parallelepiped with the shear dimensions of 18 × 20 mm. Two rectangular electrodes with a gap that varied in the range from 4 to 14 mm were applied on one side of the resonator. For each gap width, the frequency dependences of the real and imaginary parts of the electrical impedance were measured using an impedance analyzer. It has been found that increasing the gap width leads to an increase in the resonant frequency and to an increase in the maximum value of the real part of the impedance. Three series of such experiments were carried out for three values of the resonator thickness: 3.02, 2.38 and 1.9 mm. The resonant characteristics of the resonator were also theoretically analyzed by finite element analysis using two models. One resonator model was based on a two-dimensional finite element method. In this case, the vibration modes that existed due to the finite size of the plate in the direction parallel to the gap between the electrodes were not taken into account. The second model of the resonator used a three-dimensional finite element method, which correctly took into account all vibration modes existing in the resonator. Comparison of theory with experiment has shown that the three-dimensional model provides a better agreement between theoretical and experimental results.

摘要

对横向电场谐振器的电阻抗与其厚度及电极间间隙尺寸的相关性进行了实验研究。该谐振器由PZT - 19压电陶瓷制成,呈长方体形状,剪切尺寸为18×20毫米。在谐振器的一侧施加了两个间隙在4至14毫米范围内变化的矩形电极。对于每个间隙宽度,使用阻抗分析仪测量了电阻抗实部和虚部的频率依赖性。已发现增加间隙宽度会导致谐振频率增加以及阻抗实部最大值增加。针对谐振器厚度的三个值:3.02、2.38和1.9毫米,进行了三组这样的实验。还使用两个模型通过有限元分析对谐振器的谐振特性进行了理论分析。一个谐振器模型基于二维有限元方法。在这种情况下,未考虑由于板在平行于电极间间隙方向上的有限尺寸而存在的振动模式。谐振器的第二个模型使用三维有限元方法,该方法正确地考虑了谐振器中存在的所有振动模式。理论与实验的比较表明,三维模型在理论结果与实验结果之间提供了更好的一致性。

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