摘要
给出了反对称正交铺层剪切圆柱壳广义 Donnell大挠度方程 ,运用位移型摄动技术构造了圆柱壳在均匀轴压下的屈曲全局渐近级数解 ;运用奇异摄动技术分析了圆柱壳端部边界层方程和奇异摄动解 ,对计及横向剪切复合材料圆柱壳或部分圆柱壳的非线性弯曲或屈曲进行了精确分析 .同时 ,结合典型算例讨论了横向剪切变形、Batdorf数、径厚比、长径比、铺层数和弹性模量比对圆柱壳屈曲性态的影响 .结果表明 。
The generalized Donnell type equations governing large deflection of antisymmetrically laminated cross ply cylindrical shells counting for transverse shear deformations were presented. An asymptotic series solution was constructed by the perturbation technique of deflection type for buckling behaviors of the cylindrical shells under axial compression. The boundary layer solutions were also designed to match with the out of plane edge conditions at both ends of the shells by singular perturbation approach. Nonlinear and buckling analyses of the cylindrical shells with transverse deformation were conducted by these equations. Meanwhile, effects of transverse shear deformation, Batdorf's parameter, radius to thickness ratio, length to radius ratio, ply numbers and elastic moduli ratio on the buckling behaviors of the shells were discussed. It is shown through the comparison that buckling behaviors of the shells can be predicted effectively by the proposed theory.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2002年第3期411-415,共5页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金 ( 5 96 75 0 2 7)
国家教育部博士点基金 ( 96 0 2 482 7)资助项目
