Abstract

An analytical investigation on buckling behavior of thick functionally graded shells with nearly cylindrical shapes and porosities under mechanical loads is presented in this paper. Loading conditions considered are that axial compressive load, lateral pressure and combined mechanical loads in thermal environments. Porosities are evenly or unevenly distributed within the shell. Governing equations are established based on a higher order shear deformation theory taking into account interaction between the shell and surrounding elastic medium. Two-term form of deflection is assumed to satisfy simply supported boundary conditions and Galerkin method is applied to derive closed-form results of buckling loads.

摘要

本文介绍了在机械载荷下具有近圆柱形和孔隙率的功能梯度厚壳的屈曲行为的分析研究。考虑的载荷条件是热环境中的轴向压缩载荷、侧向压力和组合机械载荷。孔隙均匀或不均匀地分布在壳内。控制方程是基于高阶剪切变形理论建立的，考虑了壳与周围弹性介质之间的相互作用。假定挠度的两项形式满足简支边界条件，并应用 Galerkin 方法推导屈曲载荷的闭合形式结果。