压电复合梁热机电耦合有限元模型  

THERMAL-MECHANICAL-ELECTRIC-COUPLED FINITE ELEMENT MODEL FOR A PIEZOELECTRIC COMPOSITE BEAM

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》2007年第10期19-22,40,共5页Journal of Vibration and Shock

摘　　要：压电材料应用于航天结构形状或振动控制时,可能会受到热场、力场和电场的共同作用。为分析处于热场、力场和电场共同作用下的压电复合结构,文中基于高阶剪切变形理论、高阶电势模型和线性温度分布假设,利用虚功原理建立了压电复合梁结构的热-机-电耦合有限元模型。该模型可应用于热机电耦合压电复合结构的形状与振动控制研究。利用本文模型对压电双晶片梁、压电复合悬臂梁进行了数值仿真,仿真结果与文献给出的理论结果和实验值吻合良好,表明本文模型是正确有效的。The piezoelectric material may be used in maintaining surface shape or suppressing vibration for flexible space structures. The thermal load, mechanical load and electric load will act on piezoelectric structures together. In this study, a theoretical formulation for a thermal-mechanical-electric-coupled composite piezoelectric beam is presented. The mathematical model is based on a high order displacement field coupled with a high order electric potential field and a linear temperature field. This model is developed using the virtual work principle and is facilitated with the finite element formulation. The formulation can be applied to modeling of vibration and shape control for such kind of beams. Comparison of numerical results from this formulation with those from previous studys including piezoelectric bimorph beams and piezo-electric composite cantilever beams shows that the presented model is correct and effective.

关 键 词：压电结构 热机电耦合 高阶剪切变形理论 有限元 数值仿真 

分 类 号：TB330.1[一般工业技术—材料科学与工程]