压电弯曲元的夹层梁解析模型

压电弯曲元是一类传感和作动器件，已得到广泛的应用．基于一阶剪切变形理论发展了压电弯曲元夹层梁解析模型，对梁截面采用统一转角并将耦合电势沿厚度的分布假设为二次函数，进一步修正了横向剪应变对电位移的影响．以弯曲元简支梁自由振动为例进行数值分析，解析模型解与二维精确解相比具有良好的精度，为分析弯曲元动力机电响应提供了良好的解析模型．

Analytical Modeling of Sandwich Beam for Piezoelectric Bender Elements

Piezoelectric bender elements are widely used as electromechanical sensors and actuators.An analytical sandwich beam model for piezoelectric bender elements was developed based on the first-order shear deformation theory(FSDT), which assumes a single rotation angle for the whole cross-section and a quadratic distribution function for coupled electric potential in piezoelectric layers,and corrects the effect of transverse shear strain on the electric displacement integration.Free vibration analysis of simply-supported bender elements was carried out and the numerical results showed that solutions of the present model for various thickness-to-length ratios compare well with the exact two-dimensional solutions,which presents an efficient and accurate model for analyzing dynamic electromechanical responses of bender elements.