Vibration analysis and measurement for piezoceramic rectangular plates in resonance

Abstract

In this paper the transverse vibration characteristics of piezoceramic rectangular plates, with completely free and completely clamped boundary conditions, are investigated by theoretical analysis, experimental measurement, and numerical calculation. Using Ritz's method together with the equivalent material constants carries out the theoretical evaluations for resonant frequencies. Two optical techniques, amplitude-fluctuation electronic speckle pattern interferometry (AF-ESPI) and laser Doppler vibrometer (LDV), based on the displacement measurement are employed to determine the transverse vibration modes. In addition, the impedance analyzer is also used to measure the electrical impedance variation. From the experimental results, it is found that the transverse vibration modes cannot be obtained by impedance analysis for the completely free piezoceramic plate; however, certain modes can be unexpectedly measured for the completely clamped piezoceramic plate owing to the imperfect boundary simulation in experiments. Numerical calculations using the finite element method (FEM) are performed and good agreement is obtained when comparing the theoretical analysis and experimental measurements. According to the theoretical analysis, frequency parameter versus equivalent Poisson's ratios ranging from 0.25 to 0.6 with different aspect ratios and material types are also presented for the first three transverse modes.