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首页> 外文期刊>Aerospace science and technology >Free vibration analysis of multilayer functionally graded polymer nanocomposite plates reinforced with nonlinearly distributed carbon-based nanofillers using a layer-wise formulation model
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Free vibration analysis of multilayer functionally graded polymer nanocomposite plates reinforced with nonlinearly distributed carbon-based nanofillers using a layer-wise formulation model

机译：多层功能梯度聚合物纳米复合板的自由振动分析用层面配方模型加强了非线性分布的碳基纳米填料的加强

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摘要

This paper investigates the influence of linear and nonlinear distribution of nanofillers on the vibrational behavior of nanocomposite plates using a layer-wise formulation model. Two separate kinds of nanocomposite plates are considered in this study; multilayer functionally graded carbon nanotubereinforced composite (FG-CNTRC) plates, and multilayer functionally graded graphene platelets reinforced composite (FG-GPLRC) plates. The carbon-based nanofillers are assumed to be either uniformly dispersed or functionally graded across the plate thickness direction. Those distributions can be in linear or nonlinear form. The governing equation is obtained employing the first order shear deformation theory (FSDT). The rule of mixture is used to calculate the effective elastic modulus for the CNTRC plate, while for the GPLRC plate, the modified Halpin-Tsai micromechanics model is employed, however, the mass density and Poisson's ratio are determined by using the rule of mixture for both types of nanocomposite plates. A validation study is carried out in order to take an idea on the degree of precision of our results comparatively with those available in the literature, thereafter, a parametric study was performed focusing on the (i) effect of total number of layers for (ii) linearity and non-linearity cases of nanofillers distribution, (iii) nanofillers weight fraction and distribution types, (iv) plate length/width and width/thickness ratios, and (v) boundary conditions on the natural frequencies of the FG-CNT and FG-GPL reinforced composite plates. The results indicate that changing the nanofillers distribution patterns from a uniform to non-uniform way using the proposed layer-wise formulation model can remarkably increase or decrease the effective stiffness of the plate structures. (C) 2020 Elsevier Masson SAS. All rights reserved.
机译：本文研究了纳米填充物线性和非线性分布对纳米复合板的振动行为的影响使用层性化学模型。在本研究中考虑了两种独立的纳米复合材料板;多层功能梯度碳纳米抑制剂复合材料（FG-CNTRC）板，和多层功能梯度石墨烯血小板增强复合材料（FG-GPLRC）板。假设碳基纳米填料均匀地分散或在板厚度方向上均匀分散或功能梯度。这些分布可以是线性的或非线性形式。获得使用第一订单剪切变形理论（FSDT）的控制方程。混合物的规则用于计算CNTRC板的有效弹性模量，而对于GPLRC板，采用改性的Halpin-Tsai微机械模型，然而，通过使用混合物规则来确定质量密度和泊松比两种类型的纳米复合材料。进行了验证研究，以便对我们在文献中可用的结果的精度进行概念，此后，对（I）的层数的效果进行了参数研究（II ）纳米填料分布的线性和非线性案例，（iii）纳米填料重量分数和分布类型，（iv）板长度/宽度和宽度/厚度比，以及FG-CNT自然频率的边界条件和（v） FG-GPL增强复合板。结果表明，使用所提出的层面配方模型从均匀地改变纳米填充物分布图案可以显着增加或降低板结构的有效刚度。 （c）2020 Elsevier Masson SAS。版权所有。

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