具任意脱层压电弹性层合梁的谐响应分析  

Harmonic response analysis for a laminated piezoelectric beam with an arbitrary delamination

作　　者：罗松南[1] 王立喆[1] 邓庆田[1] 彭亮[1] 

机构地区：[1]湖南大学力学与航空航天学院,长沙410082

出　　处：《振动与冲击》2009年第3期63-67,共5页Journal of Vibration and Shock

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,考虑剪切变形和力电耦合效应,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。The effects of shear deformation and piezoelectric-elastic coupling were considered.A laminated piezoelectric beam with an arbitrary delamination was 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 were derived based on Timoshenko beam theory.According to electrical potential distributing simplification for long wave propagation,the harmonic response of a cantilever beam without external voltage was gained.The dispersion relations and the closed solution of its displacements and electrical potentials were obtained.The influence of delamination parameters on displacements and potentials was discussed.

关 键 词：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]