论文部分内容阅读
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 large-scale Donnel-type large deflection equation of asymmetric orthogonal ply shear shell is given and the post-buckling asymptotic series solution of the cylindrical shell under axial compression is constructed by the displacement perturbation technique. In order to ensure the consistency of the perturbation solution of the boundary value problem, this paper studies the effect of the boundary effect on the short and short cylindrical shells, that is, the singular perturbation technique is used to analyze the boundary layer equation and singular perturbation solution of the cylindrical shell in detail. The effects of transverse shear deformation, Batdorf number, elastic modulus ratio and initial geometric imperfection on the buckling and post-buckling behavior of cylindrical shells are also discussed. The comparison shows that the transverse shear deformation has an important influence on the buckling and post-buckling of the cylindrical shell.