任意厚度压电层合闭口柱壳的精确解

Exact solutions for closed laminated piezoelectric cylindrical shells with arbitrary thickness

从三维弹性理论和压电学理论出发,通过假设边界函数,导出压电层合闭口柱壳的状态方程,并运用状态转移矩阵方法给出满足两端和内、外表面所有任意边界条件的精确解析解。此解计及了正交异性压电弹性体的所有弹性常数和压电学常数,满足层合壳所有基本方程和层间连续条件,适合任意厚跨比。

Based on the theories of 3D elasticity and piezoelectricity and by assuming appropriate boundary functions,the state equations for closed laminated piezoelectric cylindrical shells are established. By using the state transfer matrix method,the exact analytical solutions that satisfy all the arbitrary boundary conditions at boundary edges and on inner and outer surfaces of the cylinder are presented. In the exact solutions given,all the independent elastic and piezoelectric constants for a piezoelectric orthotropy can be taken into account and the continuity conditions between plies of the laminates satisfied,so the presented method is suitable to arbitrary thicknesstospan ratios.