Перегляд за Автор "Bondarenko, M. O."

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    Mathematical Modelling of Cylindrical Piezoelectric Transducers for Electroacoustic Devices
    (КПІ ім. Ігоря Сікорського, 2022) Bazilo, C. V.; Bondarenko, M. O.; Usyk, L. M.; Andriienko, O. I.; Antonyuk, V. S.
    This paper will review the procedure and the results of the research conducted on developing mathematical models of cylindrical piezoelectric transducers that are extensively applied in electrical acoustics and hydro acoustics (for example, in devices designed for radiating and receiving acoustic oscillations in air or water medium). The distinctive feature of the developed models lies in the fact that the dependences established are a mathematical description of the electroacoustic connection between the wave fields located in different parts of a hollow piezoceramic cylindrical transducer. The analytical dependences obtained in the result of a simulation allow us to establish the electrical impedance and amplitude values of the electric current and electric charge on the electroded surface of a piezoelectric transducer (cylindrical piezoelectric shell of finite height) under the inverse piezoelectric effect, thus obtaining a complete solution for the problem of harmonic axisymmetric oscillations of a transducer of this type. In order to assess the results, the developed mathematical model was used in cylindrical shell transducers made of PZT-type (plumbum zirconate titanate) piezoelectric ceramics. Strong evidence of a frequency-dependent change of electric impedance and components of the displacement vector for material particles in the oscillating piezoelectric transducer was found with frequencies of electromechanical resonances within the range of 33-35 kHz and 82 kHz, when a sharp impedance decrease was observed (2.6-5 times). A comparative analysis of mathematically calculated and experimentally obtained values of the electrical impedance of the oscillating cylindrical piezoceramic shell revealed high convergence between them (the discrepancy between the simulation results and experimentally obtained data at the same values of operating frequency within the range up to 100 kHz did not exceed 17%).
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    Mathematical Modelling of Disk Piezoelectric Transducers for Acoustoelectronic Devices
    (КПІ ім. Ігоря Сікорського, 2023) Bazilo, C. V.; Bondarenko, M. O.; Usyk, L. M.; Faure, E. V.; Kovalenko, Yu. I.
    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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    Mathematical Modelling of Rod-Type Piezo-Electric Transducers for Acoustoelectronic Devices
    (КПІ ім. Ігоря Сікорського, 2021) Bazilo, C. V; Bondarenko, M. O.; Khlivnyi, V. V.; Tomenko, M. H.; Tomenko, V. I.
    The work is devoted to the peculiarities of the construction and study of mathematical models of rodtype piezoelectric transducers, which are widely used in various acoustoelectronic devices (hydroacoustic means of target detection, ultrasonic non-destructive testing, medical diagnostics, etc.). In contrast to the existing mathematical models of piezoelectric transducers (based on amplitude-phase dependences, resonant piezoelectric transducers, equivalent circuits, etc.), the proposed mathematical model makes it possible to establish a dependence, which is a mathematical description of the acoustic coupling that exists in a solid piezoceramic rod between wave fields on its various areas. An algorithm for calculating a mathematical model of rod-type piezoelectric transducers is presented and based on the determination of the transformation ratio in the case of the inverse piezoelectric effect. Analytical dependencies, which make it possible to determine the electrical impedance and the amplitude value of the potential in the electrical circuit of the piezoelectric transducer, are obtained. It is shown that these dependencies underlie the expression for determining the transformation ratio, which is a mathematical model of a rod piezoelectric transducer. At the same time, the principle of operation of such a transducer provides for the use of longitudinal vibrations in a prismatic rod. The results of the mathematical modelling are presented on the example of a rod transducer with a square cross-section made of piezoelectric ceramics of the PZT type (plumbum zirconate titanate). The performed comparisons of the calculated and experimentally obtained values of the frequency dependence of the modulus of the transformation ratio of the piezoceramic transducer showed a high convergence between them (the discrepancy between the results of mathematical modelling and the experimentally obtained data for the same value of the operating frequency does not exceed 8.5%).