反对称正交铺层剪切圆柱壳在外压下的屈曲和后屈曲

BUCKLING AND POSTBUCKLING OF ANTISYMMETRICALLY LAMINATED CROSS PLY SHEAR DEFORMABLE CYLINDRICAL SHELLS UNDER EXTERNAL PRESSURE

给出了反对称正交铺层剪切圆柱壳广义大挠度Ｄｏｎｎｅｌｌ型方程，并运用位移型摄动技术构造出该圆柱壳在均匀外压作用下的后屈曲渐近级数解。考虑到边界效应对中短圆柱壳的影响及边值问题摄动解的一致性，详细研究了该圆柱壳端部边界层方程和奇异摄动解，以便与中部正则摄动解相匹配。文中同时给出一些典型例子并讨论了横向剪切变形、Ｂａｔｄｏｒｆ数、弹性模量比和初始几何缺陷对圆柱壳屈曲与后屈曲性态的影响。比较显示，横向剪切变形对圆柱壳的屈曲与后屈曲有重要影响。

The generalized Donnell type equations governing large deflection of antisymmetrically laminated cross ply cylindrical shells counting for transverse shear deformation are presented. An asymptotic series solution is constructed by the perturbation technique of deflection type for buckling and postbuckling behaviors of the cylindrical shells under external pressure. Boundary layer effects at both ends of shells are considered and, for consistancy of the boundary value problem, the boundary layer solutions are also designed to match the out of plane boundary conditions by the singular perturbation approach. Meanwhile, effects of transverse shear deformation, Batdorf parameter, modulus ratio and initial geometrical imperfection on the buckling and postbuckling of the shells are examined. Numerical results computed from the present solution present the buckling loads and postbuckling equilibrium paths of the specific cylindrical shells under external pressure. It has been shown by the present solution that the decrease in buckling loads due to transverse shears is significant.