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首页> 外文期刊>Composite Structures >Nonlinear analysis of buckling and postbuckling of functionally graded variable thickness toroidal shell segments based on improved Donnell shell theory
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Nonlinear analysis of buckling and postbuckling of functionally graded variable thickness toroidal shell segments based on improved Donnell shell theory

机译：基于改进的Donnell Shell理论的功能梯度可变厚度环形壳体段屈曲和屈曲和截止的非线性分析

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摘要

This paper investigates analytically the non-linear buckling and post-buckling of functionally graded material (FGM) variable thickness toroidal shell segments subjected to axial compression, external pressure, including temperature effects. The improved Donnell shell theory with von Karman nonlinearity, Stein and McElman assumption are adopted to obtain the governing equations of non-linear buckling of toroidal shell segments. The static buckling loads and the post-buckling load-deflection curves for the variable thickness toroidal shell segments are determined by using the Galerkin's method. The present results are validated by comparing with the solutions published in the available literature for the specific cases. Effects of geometrical and material parameters, the thickness distribution, and temperature change on the nonlinear buckling behavior of the toroidal shell segments are studied in detail.
机译：本文在经过轴向压缩，外部压力，包括温度效应的非线性屈曲和功能渐变材料（FGM）可变厚度环形壳体段的非线性屈曲和后屈曲。采用改进的唐内尔壳理论，采用Von Karman非线性，Stein和McElman假设来获得环形壳段的非线性屈曲的控制方程。通过使用Galerkin的方法确定可变厚度环形壳段的静态弯曲载荷和可变厚度环形壳壳段的后屈曲载荷偏转曲线。通过与特定病例的可用文献中公布的解决方案进行比较，验证了本结果。详细研究了几何和材料参数，厚度分布和温度变化对环形壳段的非线性屈曲行为的影响。

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