论文部分内容阅读
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 ,本文方法能有效地预测剪切圆柱壳的屈曲性态
The generalized Donnell ’s large deflection equation of anti - symmetric orthotropic shearing cylindrical shell is given. The global asymptotic series solution of buckling of cylindrical shell under uniform axial pressure is constructed by using displacement perturbation technique. By using singular perturbation technique, Cylindrical shell end boundary layer equation and singular perturbation solution, the nonlinear bending or buckling of the transverse shear composite cylindrical shell or partial cylindrical shell is analyzed accurately. Meanwhile, the transverse shear deformation , Batdorf number, diameter to thickness ratio, aspect ratio, number of layers and elastic modulus ratio on the buckling behavior of a cylindrical shell are investigated. The results show that this method can effectively predict the buckling behavior of a cylindrical shell