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Accurate determination of complex materials coefficients of piezoelectric resonators

机译：准确确定压电谐振器的复杂材料系数

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摘要

This paper presents a method of accurately determining the complex piezoelectric and elastic coefficients of piezoelectric ceramic resonators from the measurement of the normalized electric admittance, Y~, which is electric admittance Y of piezoelectric resonator normalized by the angular frequency Ω. The coefficients are derived from the measurements near three special frequency points that correspond to the maximum and the minimum normalized susceptance (B~) and the maximum normalized conductance (G~). The complex elastic coefficient is determined from the frequencies at these points, and the real and imaginary parts of the piezoelectric coefficient are related to the derivative of the susceptance with respect to the frequency and the asymmetry of the conductance, respectively, near the maximum conductance point. The measurements for some lead zirconate titanate (PZT) based ceramics are used as examples to demonstrate the calculation and experimental procedures and the comparisons with the standard methods.
机译：本文提出了一种通过对归一化电导率Y〜（即通过角频率Ω归一化的压电谐振器的电导率Y）进行测量来准确确定压电陶瓷谐振器的复压电系数和弹性系数的方法。系数是从三个特殊频率点附近的测量值得出的，这些频率点对应于最大和最小归一化电纳（B〜）和最大归一化电导（G〜）。从这些点的频率确定复弹性系数，并且压电系数的实部和虚部分别与最大电导点附近的电导率相对于电导率的频率和不对称性的导数有关。 。以一些锆钛酸铅（PZT）基陶瓷的测量为例，以说明计算和实验程序以及与标准方法的比较。

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