复合材料圆柱壳的稳定性及其优化设计

本文分别利用一阶剪切理论和Reddy高阶剪切理论计算了考虑横向剪切变形影响的复合材料层会圆柱壳的线性失稳载荷和几何非线性失稳载荷。分析了壳体的几何参数、铺层数、铺层角、半径厚度比值对失稳临界行值的影响。铺层的优化设计中利用随机试验法与可变容差法相结合，计算了寻求临界行值最大的铺层角最优问题，并利用约束非线性混合离散变量优化程序对铺层角为离散值的情况进行了优化。碳纤维环氧树脂圆柱壳模型试验表明本文计算结果是可靠的。

BUCKLING ANALYSIS AND OPTIMAL DESIGN OF COMPOSITE CYLINDRICAL SHELLS

The linear and geometric nonlinear buckling load including transverse shear deformation is calculated by Timoshenko first-order shear deformation theory and Reddy higherorder shear deformation theory respectively. The effects of lamination angle, number of layers and radius-to-thickness ratio on the buckling pressure are analyzed. The combination of a Random-Search approach and the Flexible-Tolerance method is employed to search for the optimum lamination angles that have the highest buckling loads. The Mixed-Discrete-Optimization program is used to solve the optimization problem in which the lamination angles are assumed to have discrete values. The experiments of the carbonepoxy cylindrical shell models show that the results presented in this paper are reliable.