Nonlinear vibration of nanotube-reinforced composite plates in thermal environments
Nonlinear vibration of nanotube-reinforced composite plates in thermal environments
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DOI：
10.1016/j.commatsci.2011.03.005
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发表时间：
2011-06-01
影响因子：
3.3
通讯作者：
Shen, Hui-Shen
中科院分区：
文献类型：
--
作者：
Wang, Zhen-Xin;Shen, Hui-Shen
研究了热环境下弹性地基上单壁碳纳米管增强纳米复合材料板的大幅振动问题。假定SWCNT是对齐的、直的和均匀的布局。研究了两种碳纳米管增强复合材料（CNTRC）板，即均匀分布（UD）和功能梯度（FG）增强体。FG-CNTRC板的材料性能被假定为在厚度方向上是渐变的，并且通过细观力学模型来估计。运动方程是基于高阶剪切变形板理论，包括板-基础相互作用。还包括热效应，并且假设CNTRC的材料特性与温度相关。用改进的摄动法求解了运动方程，确定了CNTRC板的非线性频率。数值结果表明，固有频率以及非线性线性频率比的增加，通过增加碳纳米管的体积分数。结果还表明，自然频率降低，但非线性与线性频率比增加，通过增加温升或通过降低基础刚度。结果表明，功能梯度配筋对碳纳米管混凝土板的非线性振动特性有显著影响。(C)2011爱思唯尔有限公司版权所有。
This paper deals with the large amplitude vibration of nanocomposite plates reinforced by single-walled carbon nanotubes (SWCNTs) resting on an elastic foundation in thermal environments. The SWCNTs are assumed aligned, straight and a uniform layout. Two kinds of carbon nanotube-reinforced composite (CNTRC) plates, namely, uniformly distributed (UD) and functionally graded (FG) reinforcements, are considered. The material properties of FG-CNTRC plates are assumed to be graded in the thickness direction, and are estimated through a micromechanical model. The motion equations are based on a higher-order shear deformation plate theory that includes plate-foundation interaction. The thermal effects are also included and the material properties of CNTRCs are assumed to be temperature-dependent. The equations of motion are solved by an improved perturbation technique to determine nonlinear frequencies of CNTRC plates. Numerical results reveal that the natural frequencies as well as the nonlinear to linear frequency ratios are increased by increasing the CNT volume fraction. The results also show that the natural frequencies are reduced but the nonlinear to linear frequency ratios are increased by increasing the temperature rise or by decreasing the foundation stiffness. The results confirm that a functionally graded reinforcement has a significant effect on the nonlinear vibration characteristics of CNTRC plates. (C) 2011 Elsevier B.V. All rights reserved.