用一阶剪切理论求解复合材料加筋层板的弯曲

SOLUTION OF THE BUCKLING IN DISCRETE RIB STIFFENED COMPOSITE LAMINAE WITH THE FIRST ORDERSHEARING THEORY

本文用一阶剪切理论导出了复合材料加筋层板弯曲问题的解析解，并使复杂的理论问题演化为求解线性方程组的简单问题。先由平衡微分方程导出位移函数，再由位移函数求出位移分量。位移分量在边界上已满足了位移边界条件，而在加筋处还应该满足与筋条变形协调的条件。

An analytic solution is derived with the first order shearing theory for the buckling of discrete rib stiffened composite laminae,and thus reducing the complex theoretical problem ito a simple solution of a linear equation set.A displacement function is first derived from the balanced differential equation,and then,from the displacement function,the displacement component is in turn found.While the displacement component satisfies the displacement edge conditions on various edges,it should further satisfy the conditions in harmony with the rib deformation on the places stiffened by ribs.