Transverse vibration analysis and measurement for the piezoceramic annular plate with different boundary conditions

Through means of the electroelastic theory for piezoelectric plates, the transverse vibration characteristics of piezoceramic annular plates with different boundary conditions are investigated in this work by theoretical analysis, numerical simulation and experimental verification. There are four different boundary conditions (free-free, fixed-fixed, free-fixed, and fixed-free) to be considered herein. With the aid of theoretical analysis, three groups of vibration modes are defined and employed for making the mode classification. Combined with the mode shape recognition, the classification is valid for the prediction of resonant frequency variations with various boundary conditions. Two experimental methods, laser Doppler vibrometer (LDV) and impedance analyzer, are applied to validate the theoretical results for the free-free boundary condition. From the experimental results, we find that the transverse vibration modes cannot be measured by the impedance analysis and only the extensional vibration modes will be shown. However, the transverse vibration modes of piezoceramic annular plates are obtained by the LDV system.