压电层合板的三维有限元分析

Three-dimensional finite element analysis of piezoelectric laminates

从弹性理论和压电学理论出发,根据三维有限元理论,采用空间等参单元,导出了压电层合板的整体刚度矩阵,并利用材料的物理和几何关系,对压电层合板的应力和变形做了计算与分析。给出了数值算例并与已有的解析解计算结果做了比较和分析。计算表明其结果具有较高的分析精度。

According to the theory of elasticity and piezoelectricity and the theory of three-dimensional finite element analysis,the global stiffness matrix of piezoelectric laminates is deduced by using the 3-D isoparametric element. And based on physical and geometrical characteristics of the material, the stresses and deformations of the piezoelectric laminates are calculated. A simply supported rectangular plate is analyzed as a numerical example and the results are compared with the existing analytic solutions. The calculations illustrate that the present results have high precision.