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首页> 外文期刊>Journal of thermal stresses >The effect of axially variable thermal and mechanical loads on the 2D thermoelastic response of FG cylindrical shell
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The effect of axially variable thermal and mechanical loads on the 2D thermoelastic response of FG cylindrical shell

机译：轴向可变的热负荷和机械负荷对FG圆柱壳二维热弹性响应的影响

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摘要

This article presents two-dimensional thermoelastic analysis of a functionally graded cylindrical pressure vessel subjected to axially variable thermal and mechanical loads. Thermal and mechanical properties are assumed to be variable along the radius based on the power law variation. Two-dimensional heat transfer equation along the axial and radial directions is analytically solved before thermoelastic analysis of the problem. First-order shear deformation theory is used for description of displacement field. Energy method as well as Euler equation is used to obtain final constitutive differential equations of the system. Four differential equations of the system are solved using the eigen value and eigenvector method for various patterns of axially variable loadings. Axial and radial distributions of displacement, strain, and stress components are calculated in terms of different parameters such as variable thermal and mechanical loadings and nonhomogeneous index. The obtained results indicate that the boundary conditions of the cylinder have significant effect on thermoelastic response of the vessel. The axial distribution of displacements, strains, and stresses are validated with the existing literature.
机译：本文介绍了功能梯度圆柱压力容器在轴向变化的热负荷和机械负荷下的二维热弹性分析。根据功率定律的变化，假定热和机械性能沿半径是可变的。在对该问题进行热弹性分析之前，先解析了沿轴向和径向的二维传热方程。一阶剪切变形理论用于描述位移场。使用能量法和欧拉方程来获得系统的最终本构微分方程。使用特征值和特征向量方法，针对轴向可变载荷的各种模式，求解了系统的四个微分方程。位移，应变和应力分量的轴向和径向分布是根据不同的参数来计算的，例如可变的热负荷和机械负荷以及非均匀指数。获得的结果表明，圆柱的边界条件对容器的热弹性响应有显着影响。位移，应变和应力的轴向分布已通过现有文献进行了验证。

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