外压加筋圆柱壳总体屈曲Koiter——边界层奇异摄动法

将Ｋｏｉｔｅｒ理论和奇异摄动理论中的边界层法相结合处理加筋圆柱壳无因次化非线性边界层型Ｋａｒｍａｎ－Ｄｏｎｎｅｌ方程由分支点和边界层导致的双重奇异性，提出外压加筋圆柱壳总体屈曲Ｋｏｉｔｅｒ—边界层奇异摄动法。从摄动意义上分析边界条件，前屈曲非线性和初始几何缺陷对外压加筋圆柱壳屈曲载荷的影响。算例表明，本方法具有良好的计算效率和计算精度，与数值解相比更能揭示内在影响规律。

Koiter boundaryLayerSingularPerturbationMethodforthe General Buckling of StiffenedCylindrical Shells under External Pressure

The double singularities induced by bifurcation point and boundary layer in non demensionalized nonlinear boundary layer type Karman Donnell equations for stiffened cylindrical shells under external pressure can be treated by Koiter boundary layer singular perturbation method in this paper. From the view of perturbation method, the influences of boundary conditions, nonlinear prebuckling deformations and initial geometrical imperfections on the load capacity are analyzed. It is demonstrated, based on the calculating examples of ring stiffened circular cylindrical shells, that the present method is of high computing efficiency and accuracy, and the inherent rules can be revealed more obviously compared with numerical methods.