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Buckling of functionally graded conical panels under mechanical loads

机译：机械载荷作用下功能梯度圆锥板的屈曲

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摘要

This paper presents an analytical approach to investigate the linear buckling of truncated conical panels made of functionally graded materials and subjected to axial compression, external pressure and the combination of these loads. Material properties are assumed to be temperature-independent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Equilibrium and linear stability equations in terms of displacement components for conical panels are derived by using the classical thin shell theory. Approximate analytical solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to obtain closed-form relations of bifurcation type buckling loads. An analysis is carried out to show the effects of material and geometrical properties and combination of loads on the linear stability of conical panels.
机译：本文提出了一种分析方法，以研究功能梯度材料制成的截锥形面板的线性屈曲，并承受轴向压缩，外部压力以及这些载荷的组合。假定材料特性与温度无关，并且根据成分的体积分数，根据简单的幂律分布在厚度方向上分级。利用经典的薄壳理论推导了圆锥形面板位移分量的平衡和线性稳定性方程。假定近似解析解满足简单支持的边界条件，并应用Galerkin方法获得分叉型屈曲载荷的闭合形式关系。进行分析以显示材料和几何特性以及载荷组合对圆锥形面板的线性稳定性的影响。

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