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.
出处
《应用数学和力学》
CSCD
北大核心
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)
关键词
弯曲元
压电
夹层梁
剪切系数
解析模型
bender elements
piezoelectric
sandwich beam
shear correction factor
analyticalmodel