Analytical modeling of sandwich beam for piezoelectric bender elements  

作　　者：周燕国 陈云敏 丁皓江 

机构地区：[1]Key Laboratory of Soft Soils and Geoenvironmental Engineering,Ministry of Education,Zhejiang University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第12期1581-1586,共6页应用数学和力学（英文版）

基　　金：the National Natural Science Foundation of China(No.10472102);theNational Basic Research Program of China(No.2007CB714200)

摘　　要：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 simplysupported bender elements was carried out and the numerical results showed that, solutions of the present model for various thickness-to-length ratios are compared well with the exact two-dimensional solutions, which presents an efficient and accurate model for analyzing dynamic electromechanical responses of 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 simplysupported bender elements was carried out and the numerical results showed that, solutions of the present model for various thickness-to-length ratios are compared 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：bender elements PIEZOELECTRIC sandwich beam shear correction factor analytical model 

分 类 号：O343.1[理学—固体力学]