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.
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