基于高阶剪切理论的脱层压电梁谐响应分析  

Harmonic response analysis of piezoelectric beams with an arbitrary delamination base on higher-order shear theory

作　　者：罗松南[1] 王立喆[1] 邓庆田[1] 

机构地区：[1]湖南大学力学与航空航天学院,湖南长沙410082

出　　处：《振动工程学报》2010年第2期206-212,共7页Journal of Vibration Engineering

基　　金：高等学校博士学科点专项科研基金(20050532002);湖南省自然科学基金(06JJ2058)资助项目

摘　　要：基于Timoshenko梁理论,对位移函数进行了高阶剪切变形模式假设,考虑剪切变形和力电耦合效应,并对压电弹性层合脱层梁进行了分区处理,可方便地描述脱层长度和脱层位置,建立了弯曲波在梁中传播的基本方程式;通过长波情况下的电势分布简化,考虑无外加电压时,对该类悬臂梁进行了求解分析。给出了梁的频散关系,得到了各位移分量和电势的解析解,分析了脱层参数对位移和电势的影响规律。Base on Timoshenko beam and higher-order shear deformation theory, the effects of shear deformation and piezoelectric-elastic coupling are considered. The beam is divided into different regions in order to describe the different sizes and positions of the delamination easily. The governing equations for the flexural wave propagation in the beam are derived based on Timoshenko beam theory. According to the potential distributing simplification for the long wave propagation, the harmonic response of the cantilever beams without the additional potential is gained. The dispersion relations and the closed solution of the displacements and the potentials are obtained. The influence of delamination parameters on displacements and potentials is discussed.

关 键 词：高阶剪切变形理论 压电层合梁 脱层 频散关系 谐响应分析 

分 类 号：O347.41[理学—固体力学]