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首页> 外文期刊>Journal of thermal stresses >Geometrical nonlinear free vibration analysis of FGM spherical panel under nonlinear thermal loading with TD and TID properties
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Geometrical nonlinear free vibration analysis of FGM spherical panel under nonlinear thermal loading with TD and TID properties

机译：具有TD和TID特性的非线性热载荷下FGM球形面板的几何非线性自由振动分析

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摘要

In this article, the nonlinear free vibration behavior of functionally graded (FG) spherical shell panel is examined under nonlinear temperature field. The functionally graded material (FGM) constituents are assumed to be the function of temperature and the thermal conductivity. The effective material properties of the FGM are obtained using the Voigt micromechanical model through power law distribution. The mathematical model of the shell panel is developed using Green-Lagrange nonlinear kinematics in the framework of the higher order shear deformation theory. The desired governing equation of the FG shell panel under thermal environment is obtained using the classical Hamilton's principle. The domain is discretized with the help of the isoparametric finite element steps and the responses are computed using the direct iterative method. The convergence behavior of the present nonlinear numerical model has been checked and compared with the previous reported results. Numerous examples have been demonstrated for the FG spherical panel to show the influence of different geometrical and material parameters and support conditions on the linear and nonlinear frequency parameters.
机译：在本文中，研究了功能梯度球壳板在非线性温度场下的非线性自由振动行为。假定功能梯度材料（FGM）的成分是温度和导热率的函数。使用Voigt微力学模型通过幂律分布获得FGM的有效材料性能。在高阶剪切变形理论的框架内，使用格林-拉格朗日非线性运动学开发了壳板的数学模型。利用经典的汉密尔顿原理获得了热环境下FG壳板的理想控制方程。借助等参有限元步骤将域离散化，并使用直接迭代方法计算响应。已经检查了当前非线性数值模型的收敛行为，并将其与先前报告的结果进行了比较。已经为FG球形面板演示了许多示例，以显示不同的几何和材料参数以及支撑条件对线性和非线性频率参数的影响。

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