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On the stability of functionally graded truncated conical shells reinforced by functionally graded stiffeners and surrounded by an elastic medium

机译：关于功能梯度加劲肋加强并被弹性介质包围的功能梯度截顶圆锥壳的稳定性

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摘要

This paper presents an analytical approach to investigate the mechanical buckling load of eccentrically stiffened functionally graded truncated conical shells surrounded by elastic medium and subjected to axial compressive load and external uniform pressure. Shells are reinforced by stringers and rings in which material properties of shell and stiffeners are graded in the thickness direction according to a volume fraction power-law distribution. The elastic medium is assumed as two-parameter elastic foundation model proposed by Pasternak. The change of spacing between stringers in the meridional direction is taken into account. The equilibrium and linearized stability equations for stiffened shells are derived based on the classical shell theory and smeared stiffeners technique. The resulting equations which they are the couple set of three variable coefficient partial differential equations in terms of displacement components are investigated by Galerkin method and the closed-form expression for determining the buckling load is obtained. Four cases of stiffener arrangement are analyzed. Carrying out some computations, effects of foundation, stiffener and input factors on stability of shell have been studied. The effectiveness of FGM stiffeners in enhancing the stability of cylindrical shells comparing with homogenuos stiffener is shown.
机译：本文提出了一种分析方法，以研究偏心加硬的功能梯度渐缩圆锥形壳的弹性屈曲载荷，该壳被弹性介质包围，并且承受轴向压缩载荷和外部均匀压力。壳体由桁条和环加强，其中桁架和加劲肋的材料性能根据体积分数幂律分布在厚度方向上分级。弹性介质被假定为Pasternak提出的两参数弹性基础模型。考虑到纵梁之间的间距在子午方向上的变化。基于经典壳理论和涂抹加劲肋技术，推导了加劲壳的平衡和线性化稳定方程。利用Galerkin方法研究了位移方程组成的三个变系数偏微分方程的耦合方程组，得到了确定屈曲载荷的闭合形式。分析了四种加劲肋布置情况。进行了一些计算，研究了地基，加劲肋和输入因素对壳体稳定性的影响。与均质加强筋相比，显示了FGM加强筋在增强圆柱壳稳定性方面的有效性。

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