Mechanical and thermal postbuckling of FGM thick circular cylindrical shells reinforced by FGM stiffener system using higher-order shear deformation theory

The postbuckling of the eccentrically stiffened circular cylindrical shells made of functionally graded materials （FGMs）, subjected to the axial compressive load and external uniform pressure and filled inside by the elastic foundations in the thermal environments, is investigated with an analytical method. The shells are reinforced by FGM stringers and rings. The thermal elements of the shells and stiffeners in the fundamental equations are considered. The equilibrium and nonlinear stability equations in terms of the displacement components for the stiffened shells are derived with the third-order shear deformation theory and Leckhniskii smeared stiffener technique. The closed-form expressions for determining the buckling load and postbuckling load-deflection curves are obtained with the Galerkin method. The effects of the stiffeners, the foundations, the material and dimensional parameters, and the pre-existent axial compressive and thermal load are considered.

复合材料剪切圆柱壳在轴压下的屈曲与后屈曲

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。