含压电片复合材料层合板的高阶计算模型  

HIGH ORDER MODEL OF COMPOSITE LAMINATES WITH EMBEDDED PIEZOELECTRIC PATCHES

作　　者：王锋[1] 唐国金[1] 李道奎[1] 

机构地区：[1]国防科技大学航天与材料工程学院,长沙410073

出　　处：《复合材料学报》2005年第1期164-170,共7页Acta Materiae Compositae Sinica

基　　金：国家863基金资助项目(2002AA001006)

摘　　要：　给出了一种分析含任意内埋压电片复合材料层合板的高阶耦合模型,板的位移场采用三阶剪切理论,并提出了压电片中电势场在厚度方向的三次分布模式,可以更精确地描述力、电耦合作用下电场的非均匀分布。在平面应力的假设下给出了简化的压电材料本构方程,推导了基于该模型的压电层合板有限元计算公式,并对双压电片梁的弯曲和层合板的变形控制进行了计算,压电梁的弯曲计算结果与解析结果吻合良好,表明本文的模型和公式是精确有效的。A piezoelectric-mechanical coupled high order model of composite plates with embedded piezoelectric patches was presented. The third-order laminate theory was used to describe the displacement field and a high order electric potential field was assumed to accurately describe the nonuniform distribution of an electric field through the thickness of piezoelectric patches. The simplified constitutive equations of piezoelectric material were presented upon the plane-stress state assumption, and then the finite element formulas were deduced based on this model. The performance of the model and the formula developed were validated by application in calculating the deformation of a bimorph beam and in controlling the deflection of a square composite plate with piezoelectric actuators.

关 键 词：高阶模型 压电层合板 有限元 智能结构 

分 类 号：TB334[一般工业技术—材料科学与工程] TB33