压电弯曲元的夹层梁解析模型  

Analytical Modeling of Sandwich Beam for Piezoelectric Bender Elements

作　　者：周燕国[1] 陈云敏[1] 丁皓江[1] 

机构地区：[1]浙江大学软弱土与环境土工教育部重点实验室,杭州310027

出　　处：《应用数学和力学》2007年第12期1411-1416,共6页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10472102);国家973计划资助项目(2007CB714200)

摘　　要：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.Piezoelectric bender elements are widely used as electromechunical sensors and actuators. An analylical 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.

关 键 词：弯曲元 压电 夹层梁 剪切系数 解析模型 

分 类 号：O343.1[理学—固体力学]