Free Vibration Analysis of a New Polymer Quartz Piezoelectric Crystal Sensor Applied to Identify Chinese Liquors

Abstract

This paper deals with the analytical and numerical analysis of free vibration in a new polymer piezoelectric crystal sensor. A quartz piezoelectric crystal here serves as the basal material and nonmetallic polymer thin films with perforative central holes as the surface coating according to the principle of quartz crystal microbalance (QCM), based on the Kirchhoff–Love plate model. A mechanical model of the new sensor was built, and its structure was a quartz piezoelectric sandwich composite circular plate with perforative central holes in the surface layers. The form of the electric potential field in the piezoelectric layer was here assumed to be such that the Maxwell static electricity equation is satisfied. The validation of the mechanical model and its analytic method is conducted by comparing the free vibration frequencies of the piezoelectric sandwich composite circular plate produced by the mechanical model’s analytical and numerical analyses performed using ANSYS software. Results show that the first 100 orders of free vibration frequency values of the mechanical model obtained by two methods, the analytical analysis and the numerical analysis, to be fit. The maximum absolute deviation rate ([Formula: see text] between the analytical solutions ([Formula: see text]) and the numerical solutions ([Formula: see text]) was found to be 6.89%. These results are important reference for the design of the new polymer quartz piezoelectric crystal sensors suitable for the identification of Chinese liquors.