压电层合圆板传感器的非线性静力耦合分析

本文基于von Karman薄板非线性理论，压电基本方程和经典层合板理论，对上，下表面粘有压电传感膜层的圆薄板压力传感器的力-电耦合特性进行了定理分析。首先，针对压电层合圆板传感器件建立了考虑几何非线性变形的力-意耦合模型。给出了压电薄膜层感应电量的计算公式；然后，采用级数解法进行了求解，得到了非线性静力耦合问题的幂级数精确解，给出了传感器静态测量过程中所关心的压力-电量特征曲线和中心挠度，电量特征曲线；同时，定量讨论了压电二次效应对感应电量和层合结构中心挠度的影响。通过所得结果，在压电式压力传感器设计中，为采用电信号直接输出有关结构的变形和外界载荷等待测参量提供了依据。

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.