Vibration analysis for piezoceramic ring

The vibration property of piezoceramic ring is investigated by theoretical analysis, numerical simulation, and experimental measurement in this paper. Based on the piezoelectric constitutive and kinematical equation, the expression for resonant frequency of piezoceramic ring is derived by setting the boundary of vibrating ring as free. The expressions are calculated with numerical method especially for vibration modes in radial and wall-thickness direction. The relationship between resonant frequencies of two modes and the radius (or thickness) is obtained. The results calculated are compared with measurements by Impedance Analyzer, and the errors between them are analyzed in the paper.