Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment
Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment
复制标题
热环境下功能梯度碳纳米管增强复合材料板的无元素kp-Ritz法自由振动分析
DOI：
10.1016/j.compstruct.2013.06.003
复制
发表时间：
2013-12
影响因子：
6.3
通讯作者：
J.L. Yu
中科院分区：
文献类型：
--
作者：
Z.X. Lei;Liew K.M.;J.L. Yu
本文采用单元-freekp-Ritz法对单壁碳纳米管增强功能梯度纳米复合材料板的自由振动进行了分析。不同类型的单轴排列的单壁碳纳米管的分布被认为是。碳纳米管增强功能梯度复合材料（FG-CNTRCs）的材料性能被假定为沿厚度方向根据碳纳米管体积分数的几个线性分布而梯度化。控制方程基于一阶剪切变形板理论，二维位移场采用无网格核质点函数近似。收敛性和比较研究已经进行了验证的稳定性和准确性，本方法分析的自由振动的各种类型的CNTRC板。通过算例分析了碳纳米管体积分数、板的宽厚比、板的高宽比和温度变化对不同类型FG-CNTRC板的固有频率和振型的影响，并与均匀分布（UD）CNTRC板的结果进行了比较。边界条件的影响也进行了研究。
In this paper, a free vibration analysis of functionally graded nanocomposite plates reinforced by single-walled carbon nanotubes (SWCNTs), using the element-freekp-Ritz method, is presented. Different types of distributions of uniaxially aligned SWCNTs are considered. The material properties of functionally graded carbon nanotube-reinforced composites (FG-CNTRCs) are assumed to be graded through the thickness direction according to several linear distributions of the volume fraction of carbon nanotubes. The governing equations are based on the first-order shear deformation plate theory and the two-dimensional displacement fields are approximated by mesh-free kernel particle functions. Convergence and comparison studies have been carried out to verify the stability and accuracy of the present method for analysis of free vibration of various types of CNTRC plates. In computational simulation, several examples are presented to analyze the effects of carbon nanotue volume fraction, plate width-to-thickness ratio, plate aspect ratio and temperature change on natural frequencies and mode shapes of various types of FG-CNTRC plates, and results for uniformly distributed (UD) CNTRC plates are also provided for comparison. The effect of boundary conditions is also examined.
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