复合材料层合剪切圆柱曲板在侧压作用下的后屈曲  

Postbuckling of Pressure-Loaded Shear Deformable Laminated Cylindrical Panels

作　　者：沈惠申[1] 

机构地区：[1]上海交通大学建筑工程与力学学院,上海200030

出　　处：《应用数学和力学》2003年第4期357-366,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(59975058)

摘　　要：基于Reddy高阶剪切变形理论的Karmam-Donnell型非线性壳体方程,给出复合材料层合剪切圆柱曲板在侧压作用下的后屈曲分析。将壳体屈曲的边界层理论推广到复合材料层合剪切圆柱曲板受侧压作用的情况。相应的奇异摄动法,用于确定圆柱曲板的屈曲荷载和后屈曲平衡路径。分析中同时考虑非线性前屈曲变形和初始几何缺陷的影响。数值算例给出完善和非完善,中等厚度正交铺设层合圆柱曲板的后屈曲荷载-挠度曲线。讨论了横向剪切变形,曲板几何参数,铺层数,铺展方式和初始几何缺陷等各种参数变化的影响。A postbuckling analysis is presented for a shear deformable laminated cylindrical panel of finite length subjected to lateral pressure. The governing equations are based on Reddy's higher order shear deformation shell theory with von Krmn_Donnell_type of kinematic nonlinearity. The nonlinear prebuckling deformations and initial geometric imperfections of the panel are both taken into account. A boundary layer theory of shell buckling, which includes the effects of nonlinear prebuckling deformations, large deflections in the postbuckling range, and initial geometric imperfections of the shell, is extended to the case of shear deformable laminated cylindrical panels under lateral pressure. A singular perturbation technique is employed to determine the buckling loads and postbuckling equilibrium paths. The numerical illustrations concern the postbuckling response of perfect and imperfect, moderately thick, cross_ply laminated cylindrical panels. The effects played by transverse shear deformation, panel geometric parameters, total number of plies, fiber orientation, and initial geometric imperfections are studied.

关 键 词：结构稳定性 屈曲 后屈曲 圆柱曲板 高阶剪切变形理论 壳体屈曲 边界层理论 奇异摄动法 

分 类 号：O343[理学—固体力学]