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首页> 外文期刊>International journal of applied mechanics >Free Vibration Analysis of Functionally Graded Skew Plate in Thermal Environment Using Higher Order Theory
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Free Vibration Analysis of Functionally Graded Skew Plate in Thermal Environment Using Higher Order Theory

机译：高阶理论热环境中功能梯度偏斜板的自由振动分析

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摘要

This paper deals with the free vibration of a skew functionally graded material (FGM) plate in the thermal environment. A higher-order shear deformation theory (HOSDT) is employed to develop a finite element model of the plate. The material properties are assumed to be temperature-dependent and are graded along the thickness direction as per simple power law distribution in terms of volume fraction of metal and ceramic constituent phases. The model is based on an eight-noded isoparametric element with seven degrees of freedom (DOFs) per node. The general displacement equation provides C-0 continuity. The transverse shear strain undergoes parabolic variation through the thickness of the plate. The governing equations are derived using the Hamilton's principle. The obtained results are compared with the published results to determine the accuracy of the method. The effects of various parameters like aspect ratio, side-thickness ratio, volume fraction index, boundary conditions and skew angle on the natural frequencies are investigated.
机译：本文涉及热环境中偏斜功能梯度材料（FGM）板的自由振动。使用高阶剪切变形理论（HOSDT）来开发板的有限元模型。假设材料特性是温度依赖性的，并且根据金属和陶瓷成分相的体积分数，沿着厚度方向沿厚度方向分析。该模型基于每个节点具有七个自由度（DOF）的八个点向期的等偶像元素。一般位移方程提供C-0连续性。横向剪切应变通过板的厚度经历抛物线变化。使用汉密尔顿原则来源的控制方程。将获得的结果与公布结果进行比较，以确定方法的准确性。研究了各种参数，如纵横比，侧厚比，体积分数，边界条件和自然频率上的偏斜角度的影响。

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