Mathematical Modelling of Disk Piezoelectric Transducers for Acoustoelectronic Devices
DOI:
https://doi.org/10.20535/RADAP.2023.91.37-45Keywords:
piezoelectric transducer, acoustoelectronics, mathematical model, impedance, disc elementAbstract
This study has presented an algorithm for assembling, solving, and analyzing the results obtained by mathematical modeling of the disc piezoelectric transducers, which are widely used in hydroacoustics, microelectronics, microcircuit engineering (for example, as components of receiving antennas of hydroacoustic communication devices). The models developed in this study enable us to establish dependencies, which represent a mathematical description of the electroacoustic connection between the wave fields in different sections of the disc piezoelectric transducers.
Analytical dependences obtained by mathematical modelling make it possible to establish the electrical impedance and quality factor together with the amplitude values of the electric charge and current on the electroded surfaces of the piezoelectric disk, subject to the inverse piezoelectric effect conditions. A complete calculation of the problem of harmonic radial oscillations of disc piezoelectric transducers allowed the authors to significantly expand the list of physical and mechanical parameters of the piezoelectric material, which had been previously determined experimentally.
The research has revealed the dependence of the change in electrical impedance on the values of the electromechanical coupling coefficient, the wave number of elastic oscillations, and the Voigt indices. The study has also determined a high agreement between the electric impedance modules of discs made of lead zirconate titanate PZT piezoelectric ceramics with and without the piezoelectric effect (the difference between the impedance values in these cases did not exceed 18%).
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Copyright (c) 2023 Костянтин Базіло, Юрій Коваленко; Людмила Усик; Еміль Фауре, Максим Олексійович Бондаренко
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