CALCULATION OF ELECTRICAL IMPEDANCE OF OSCILLATING PIEZOCERAMIC DISK IN THE AREA OF HIGH FREQUENCIES
Journal Title: Вісник Кременчуцького національного університету імені Михайла Остроградського - Year 2018, Vol 1, Issue 112
Abstract
Purpose. The aim of this work is to calculate the electrical impedance of oscillating piezoelectric disk in the high-frequency range. Methodology. The final goal of mathematical modeling of the vibrating piezoelectric elements physical condition is a qualitative and quantitative description of characteristics and parameters of existing electrical and elastic fields. It is clear that to obtain meaningful and reliable quantitative estimates of the physical condition parame-ters of the piezoelectric (piezoceramic) element is not possible without reliable data on the values of the materials physical and mechanical constants. Thus, it is necessary to build noncontradictory method of material constants experi-mental determination of piezoelectric ceramics, which delivers reliable values of at least three modules of elasticity, two elements of the matrix of piezoelectric coefficients and one element of the matrix of dielectric constants. Results. At sufficiently general initial assumptions a mathematical description of the electrical impedance of the oscillating thin piezoceramic disk with end surfaces continuous covering by electrodes in vacuum is obtained. It is shown that electric impedance is determined by the averaged values of the components of piezoceramics material particles displacement vector. Originality. With the help of the averaging method a system of differential equations in partial derivatives is solved, and on this basis, a mathematical model of the electrical impedance of the piezoceramic disk at high frequencies is built, where the material particles displacement vector is determined by the radial and axial components. Practical value. As a result of research of real device’s mathematical model a set of geometrical, physical and mechanical and electrical parameters of a real object can be determined which provides realization of technical parameters of piezoelec-tric functional element specified in technical specifications. This significantly reduces the time and cost of new func-tional elements of piezoelectronics development. References 12, figures 4.
Authors and Affiliations
C. Bazilo
Keywords
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