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首页> 外文期刊>Aerospace science and technology >Nonlinear stability of moderately thick functionally graded sandwich shells with double curvature in thermal environment
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Nonlinear stability of moderately thick functionally graded sandwich shells with double curvature in thermal environment

机译：热环境中双曲率中等厚度功能梯度夹层壳的非线性稳定性

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摘要

Theoretical closed-form solutions and numerical results for nonlinear stability of the moderately thick functionally graded sandwich shells subjected to thermomechanical loadings are presented in this study. Two proposed material distribution models supported by elastic foundations are examined. The nonlinear strain field is deduced from the first-order shear deformation theory taking the stretching, bending and shear effects into consideration. The Bubnov-Galerkin procedure and harmonic balance principle are utilized to bring about the explicit algebraic expression for the shell static behaviors from governing equations derived from Hamilton's principle. Mechanical buckling loads and critical thermal rises for the shells in spherical, cylindrical, and hyperbolic paraboloid forms are obtained. The effect of geometry, elastic foundations, volume fraction index, material distribution models, buckling modes, and imperfections on the shell stability behaviors are considered in parametric studies. The yielding plateau in the thermal analysis of the spherical shells in case of temperature dependent characteristics is recognized for the first time. Verification studies are also conducted. (C) 2018 Elsevier Masson SAS. All rights reserved.
机译：在这项研究中，提出了中等厚度的功能梯度夹层薄壳在热机械载荷下的非线性稳定性的理论闭式解和数值结果。研究了由弹性基础支撑的两种建议的材料分布模型。从一阶剪切变形理论推导了非线性应变场，并考虑了拉伸，弯曲和剪切效应。利用Bubnov-Galerkin程序和谐波平衡原理，根据汉密尔顿原理导出的控制方程，为壳体的静态行为提供了显式的代数表达式。获得了球形，圆柱形和双曲线抛物面形式的壳体的机械屈曲载荷和临界热上升。在参数研究中考虑了几何形状，弹性基础，体积分数指数，材料分布模型，屈曲模式以及对壳体稳定性行为的影响。首次认识到球壳的热分析中随温度变化而产生的屈服平稳期。还进行了验证研究。 （C）2018 Elsevier Masson SAS。版权所有。

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