Dynamic analysis of functionally graded carbon nanotubes-reinforced plate and shell structures using a double directors finite shell element
Dynamic analysis of functionally graded carbon nanotubes-reinforced plate and shell structures using a double directors finite shell element
复制标题
DOI：
10.1016/j.ast.2018.04.048
复制
发表时间：
2018-07-01
影响因子：
5.6
通讯作者：
Dammak, F.
中科院分区：
文献类型：
--
作者：
Frikha, A.;Zghal, S.;Dammak, F.
本文旨在通过受迫振动分析研究功能梯度碳纳米管增强复合材料壳结构的动力特性。运动的控制方程采用线性离散双董事有限元模型。该模型以位移场的高阶分布为基础，采用矢量位置沿厚度方向沿着的三次变化。在顶部和底部表面处也施加零横向剪切应力。考虑了碳纳米管的均匀分布和三种功能梯度分布。将扩展的混合规则应用于碳纳米管增强复合材料（CNTRC）壳体的有效材料性能估计。通过FG-CNTRC方板、球冠和圆环板的数值算例，说明了本模型的适用性和性能。瞬态中心偏转的研究壳结构的计算和描绘为不同的体积分数和配置文件的碳纳米管，各种边界条件和其他几何参数，以显示这些参数对动态行为的FG-CNTRC壳的效果。(C)2018年Elsevier Masson SAS。All rights reserved.
The present paper aims at the study of the dynamic behavior of functionally graded carbon nanotubes-reinforced composite shell structures (FG-CNTRC) via forced vibration analysis. The governing equations of motion are developed using a linear discrete double directors finite element model. The elaborated model is based on high-order-distribution of displacement field and uses a cubic variation of the vector position along the thickness direction. A zero transverse shear stress at top and bottom surfaces is also imposed. Four types of distributions of carbon nanotubes (CNTs) such that uniformly and three functionally graded distributions are considered. The extended rule of mixture is used to estimate the effective material properties of carbon nanotube-reinforced composite (CNTRC) shell. The applicability and the performance of the present model are illustrated by three numerical examples of FG-CNTRC square plates, spherical caps and annular ring plates. The transient center deflections of the studied shell structures are computed and depicted for different volume fractions and profiles of CNTs, various boundary conditions and other geometrical parameters in order to show the effect of these parameters on dynamic behavior of FG-CNTRC shells. (C) 2018 Elsevier Masson SAS. All rights reserved.