Nonlinear Static Mechanic Couple Analysis of Piezoelectric Laminated Circular Plates for Pressure Sensors

Based on the Von Karman plate theory, the piezoelectricity and the classical laminate theory, the electromechanical coupled characteristics of circular plate pressure sensors with thin piezoelectric layers were quantitatively analyzed. Firstly, a static mechanic coupled model of a piezoelectric laminated sensor was presented, and the general expression of the sensitive charge was given. By means of the series method in expansion, the exact solution of the geometrical nonlinear couple problem was obtained. The characteristic curves of sensitive charge vs pressure and central deflection were obtained, which are the great interest for the signal output of piezoelectric pressure sensors. The influence the secondary piezoelectric effect were quantitatively discussed simultaneously. For piezoelectric pressure sensor, the results of the solved problems can be directly to measure the pressure and the deflection of the laminated plate structures by the output of electric signals.