In this paper, both the 1D radial mode and the equivalent circuit of a piezoceramic disk resonator were theoretically analyzed based on IEEE standards. And then, the radial resonance frequency spectra of the PZT-based (Nb/Ce co-doped Pb(Zr_0.52Ti_0.48)O₃, abbreviated as PZT-NC) piezoceramic circular disks were measured by an impedance analyzer. A set of resonance frequency spectra including six electrical parameters: Z, R, X, Y, G, and B, were used for making a value distinction between three possible resonance frequencies, and between three possible antiresonance frequencies. A new-form Nyquist diagram was depicted to describe the position relations of these characteristic frequencies. Such a complete resonance frequency spectrum was used to perform the accurate calculation of some material constants and electromechanical coupling parameters for the PZT-NC piezoceramics. Further, the frequency dependence of the AC conductive behavior of the specimen was characterized by the complex impedance measurement. The values of AC conductivity at resonance/antiresonance were deduced from the equivalent circuit parameters. Moreover, the Van Dyke circuit model was assigned to each element contribution and the simulated curves showed a nice fitting with the experimental results. Finally, an additional impedance analysis associated with resonance frequency calculation revealed a complicated coupled vibration mode existing in the annular disk specimen.

中文翻译：

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基于PZT的（Zr / Ti = 52/48）压电陶瓷薄盘径向共振频谱的系统分析

在本文中，基于IEEE标准从理论上分析了压电陶瓷盘谐振器的一维径向模式和等效电路。然后，通过阻抗分析仪测量了基于PZT的（Nb / Ce共掺杂的Pb（Zr _0.52 Ti _0.48）O ₃，缩写为PZT-NC）压电陶瓷圆盘的径向共振频谱。一组共振频谱，包括六个电参数：Z，R，X，Y，G和B用来区分三个可能的共振频率和三个可能的反共振频率。描绘了一种新型的奈奎斯特图来描述这些特征频率的位置关系。这种完整的共振频谱用于对PZT-NC压电陶瓷的某些材料常数和机电耦合参数进行精确计算。此外，通过复阻抗测量来表征样品的AC导电行为的频率依赖性。从等效电路参数推导出谐振/反谐振时的AC电导率值。此外，Van Dyke电路模型被分配给每个元素贡献，并且仿真曲线显示出与实验结果很好的拟合。最后，