压电层合板高阶计算模型  

HIGHER ORDER MODEL OF A PIEZOELECTRIC LAMINATED PLATE

作　　者：蒋建平[1] 李东旭[1] 

机构地区：[1]国防科学技术大学航天与材料工程学院,长沙410073

出　　处：《振动与冲击》2008年第4期89-94,共6页Journal of Vibration and Shock

摘　　要：压电复合(层合)结构可应用于结构振动控制、形状保持、健康监测等,建立压电层合结构精确的机电耦合计算模型成为了研究的焦点。针对表面粘贴或内部嵌入压电片的压电层合板结构,基于高阶位移场和高阶电势模型,根据Ham ilton原理建立了机电耦合高阶有限元模型。该模型适用于薄板和中厚板,并且能够捕捉压电层内沿厚度方向呈抛物线型分布的诱导电势。以压电双晶片简支板为例,进行了作动器构型和开环、闭环状态传感器构型的数值分析。结果指出,诱导电势对压电传感器有重要影响,而压电作动器可忽略这种电势。Typical applications of piezoelectric laminated structures are envisioned in active vibration control,shape control and structural health monitoring.Establishing accurate coupled electromechanical models becomes the focus of studies.The accurate coupled-electromechanical finite element formulations are presented here for structures bonded or embedded piezoelectric patches.These formulations are derived from Hamilton principle based on the higher order displacement and electric potential field.This model is applicable to both thin and moderately thick plates.The induced electric potential which has a quadratic distribution along the thickness is captured accurately by the presented formulations.Numerical simuations for a piezoelectric bimorph plate simply supported,including actuator configuration and sensor configuration in opened and closed forms,are performed.The results show that the induced electric potential is significant for sensors and negligible for actuators.

关 键 词：压电层合结构 机电耦合 诱导电势 有限元 压电双晶片板 

分 类 号：O342[理学—固体力学] U442[理学—力学]