Analysis of Inherent Oscillations in Round Piezoceramic Plates of Variable Thicknesses

Abstract

The method of finite elements has been used in solving the problem of inherent oscillations in round piezoceramic plates of variable thicknesses. The paper considers two symmetric versions of piezoelectric plates with linearly changing thicknesses: biconvex and biconcave ones. Spectra of inherent frequencies have been analyzed under conditions of resonance and antiresonance. The dynamic coefficient of electromechanical coupling and displacement distributions on driving surfaces of plates have been calculated. The paper considers improvements in characteristics of thickness oscillations in plates (specifically, increasing the dynamic coefficient of electromechanical coupling and smoothing the distribution of the normal displacement component on driving surfaces) owing to their variable-thickness shapes. Such improvement can be obtained only in biconvex piezoelectric plates, whereas characteristics of thickness oscillations are worse in biconcave plates. Feature! s of thickness oscillation characteristics in piezoelectric plates from various materials are discussed.