复合材料剪切圆柱壳在轴压下的屈曲与后屈曲  

Buckling and Postbuckling of Laminated Shear Deformable Cylindrical Shells under Axial Compression

作　　者：吴金松[1] 薛量[1] 束永平[1] 张建武[1] 

机构地区：[1]上海交通大学机械工程学院

出　　处：《华东船舶工业学院学报》1999年第2期42-46,共5页Journal of East China Shipbuilding Institute(Natural Science Edition)

基　　金：国家自然科学基金

摘　　要：给出了非对称正交铺层剪切圆柱壳广义Ｄｏｎｎｅｌ型大挠度方程，并运用位移型摄动技术构造出该圆柱壳在轴压作用下的后屈曲渐近级数解。为保证边值问题摄动解的一致性，本文研究了边界效应对中短圆柱壳的影响，亦即运用奇异摄动技术详细分析了该圆柱壳端部边界层方程和奇异摄动解。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 postbuckling behavior of the cylindrical shell under axial compression. The boundary layer solutions are also designed to match with the out of plane boundary conditions by singular perturbation approach. Meanwhile, effects of transverse shears, Batdorf parameter, modulus ratio and initial imperfection on the buckling and postbuckling behavior of the shells are discussed. It has been shown through comparison that transverse shears have important influence on the buckling loads and postbuckling strength.

关 键 词：复合材料 圆柱面壳 剪切 屈曲 后屈曲 

分 类 号：TB330.1[一般工业技术—材料科学与工程]