功能梯度压电材料圆环在位移和反对称电势边值条件下的解析解  

ANALYTICAL SOLUTIONS OF DISPLACEMENT AND ANTI-SYMMETRIC ELECTRIC POTENTIAL BOUNDARY VALUE PROBLEMS FOR A FUNCTIONALLY GRADED PIEZOELECTRIC ANNULUS

作　　者：杨昌锦[1] 李尧臣[1] 

机构地区：[1]同济大学航空航天与力学学院,上海200092

出　　处：《固体力学学报》2005年第3期365-371,共7页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金(10272081)资助

摘　　要：采用了在径向极化情况下横观各向同性的线性本构关系,考虑了材料性质沿径向的梯度分布,对功能梯度压电材料圆环在给定的位移和电势边界条件下,导出了问题的一般解.推导了外壁固定、接地,内壁沿垂向有一微小位移、电势为反对称分布问题的解析解,并计算了该问题在位移和电势作用情况下的位移、电势在不同梯度分布时的数值结果.This paper presents a general solution for an annulus made of a transversely isotropic and functionally graded piezoelectric material, and polarized in the radial direction. The displacement and electric potential are prescribed on the outer and inner boundaries. The linear constitutive law is employed in the solution. An analytical solution is obtained for a sample problem that the outer boundary is fixed and grounded, and the inner boundary has a downward constant small displacement and a non-zero anti-symmetrically distributed electric potential. Numerical results for displacement and electric potential distribution are given. These data may be useful for analyzing piezoelectric components in smart structures.

关 键 词：横观各向同性 功能梯度压电材料 圆环 精确解 微小位移 压电材料 功能梯度 解析解 反对称 电势 

分 类 号：TB34[一般工业技术—材料科学与工程]