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Flexural and Free Vibration Analysis of CNT-Reinforced Functionally Graded Plate

机译:碳纳米管增强功能梯度板的弯曲和自由振动分析

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摘要

This paper examines the effect of uniaxially aligned carbon nanotube (CNT) on flexural and free vibration analysis of CNT-reinforced functionally graded plate. The mathematical model includes expansion of Taylor’s series up to the third degree in the thickness co-ordinate. Since there is a parabolic variation in transverse shear strain deformation across the thickness co-ordinate, the shear correction factor is not necessary. A nine-node two-dimensional (2D) C0 isoparametric element containing seven nodal unknowns per node was developed in the finite element code. The final material properties of CNT-reinforced functionally graded plate are estimated using the extended rule of mixture. The effect of CNT distribution, boundary condition, volume fraction and loading pattern are studied by developing a finite element code. An additional finite element code was developed for the study of the influence of concentrated mass on free vibration analysis of CNT-reinforced functionally graded plate.
机译:本文研究了单轴排列的碳纳米管(CNT)对CNT增强功能梯度板的弯曲和自由振动分析的影响。数学模型包括将泰勒级数展开到厚度坐标的第三级。由于在整个厚度坐标上横向剪切应变变形存在抛物线变化,因此不需要剪切校正因子。在有限元代码中开发了一个九节点二维(2D)C 0 等参单元,每个节点包含七个节点未知量。 CNT增强功能梯度板的最终材料性能使用扩展的混合规则进行估算。通过建立有限元代码,研究了碳纳米管分布,边界条件,体积分数和加载方式的影响。开发了一个附加的有限元代码,用于研究集中质量对CNT增强功能梯度板的自由振动分析的影响。

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