Calculation of electrical impedance of oscillating piezoceramic disk in the area of high frequencies

Abstract

The relevance of the use of various functional elements of piezoelectronics in power and information systems is due primarily to their high reliability. As a result of research of mathematical model of the real device it is possible to define a specific set of geometrical, physical-mechanical and electric parameters of real object which provides realization of technical indicators of a functional element of piezoelectronics stipulated in the technical task. This significantly reduces the time and cost of developing new functional elements of piezoelectronics. In the article, a system of differential equations in partial derivatives is solved on the basis of the averaging method and a mathematical model of the electrical impedance of a piezoceramic disk in the high frequency zone, where the displacement vector of material particles is determined by radial and axial components.

Keywords

• thin disk
• piezoelectric ceramics
• electrical impedance
• material particles displacement vector