THE MATHEMATICAL MODEL VIBRATIONS OF PIEZOELEMENT BASIS ON THE MATRIX- OPERATOR METHOD

Abstract

A mathematical calculation models of the thickness-shear waves in piezoelectric plates have been explored (studied). Their advantages and shortcomings are analyzed. The mathematical model of the thickness-shear waves in piezoelectric plates on the basis of the solution of state equations, movements and electrostatics of the turned quartz Y-cut by the matrix operator method, considering dependence of electric and mechanical boundary conditions from coordinate was proposed. Analytical expressions for mechanical stress, mechanical shift, potential, electric displacement are developed.

Keywords

• товщинно-зрушувальні коливання, пкс, y-зріз кварцу, матрична експонента, матрично-операторний метод.