复合材料结构开孔分析　第二部分：壳类开孔问题

Cutout Analysis of Composite Structures Part Ⅱ:The Cutout Problems in Composite Shells

本文对复合材料壳的一般方程组，考虑对称铺层情况，通过微分算子运算、仿射变换，化为４个独立的偏微分方程，从而得到标准的变态Ｂｅｓｓｅｌ方程，求出其解析解。采用类似本文第一部分的保角映射方法，对开有方形孔和任意孔角半径壳，导得对孔边自由和刚性补强的两类问题的求解方程组。本文的理论分析结果与实验结果吻合良好。

By calculation of differential operator and affine transformation,the system of equilibrium and compatibility equations can be reduced to four independent partial differential equations,and then the standard abnormal Bessel equations are derived.Based onthese equations the analytic solution is obtained.By using conformal mapping technique in a similar way to Part Ⅰ of this paper,two equation systems of determining the unknown coefficients in the closed-solution are derived for the composite shells containing a cutout,which may be square shape and arbitrary radius gauge with free or fixed support at cutout edges.The theoretical results in the paper are very well in agreement with the experimental results.