Free vibration analysis of single-walled carbon nanotubes using a higher-order gradient theory
Free vibration analysis of single-walled carbon nanotubes using a higher-order gradient theory
复制标题
使用高阶梯度理论对单壁碳纳米管进行自由振动分析
DOI：
10.1016/j.jsv.2013.02.004
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发表时间：
2013-07
影响因子：
4.7
通讯作者：
L.H. He
中科院分区：
文献类型：
--
作者：
J.W. Yan;Liew K.M.;L.H. He
利用高阶梯度理论研究了单壁碳纳米管（SWCNTs）在不同约束条件、管手征、长度和直径下的自由振动特性。该理论在原子水平上描述了C-C键矢量的变形，并与连续谱水平相联系。C-C键矢量弯曲效应的捕捉使得所建立的本构模型与物理行为非常符合。采用基于移动克里格插值的无网格计算框架进行了数值模拟。结果表明，该方法能很好地预测原子模拟结果，特别是在处理较大的系统时。各种类型的手征性的单壁碳纳米管的研究和计算结果表明，随着管径的增加，基本频率的增加，直到它达到一个临界直径，超过它减少。随着直径的继续增大，基频的变化越来越小，并逐渐向对应石墨片的基频收敛。临界直径在很大程度上取决于管长和约束条件，但与手性无关。结果表明，随着管长的增加，临界管径增大。就约束条件而言，固定-自由形式的临界直径远大于固定-固定形式。
Free vibration characteristics of single-walled carbon nanotubes (SWCNTs) with various constraints, tube chiralities, lengths and diameters are examined using a higher-order gradient theory. The theory describes deformations of C–C bond vectors at the atomic level and links to the continuum level. The capture of curved effects of C–C bond vectors makes the established constitutive model accords extremely well with physical behaviors. Numerical simulations have been conducted using the mesh-free computational framework based on the moving Kriging interpolation. It reveals that the present method gives a good prediction of atomistic simulation results, especially in the treatment of a larger system. SWCNTs of various types of chirality are investigated and computational results reveal that the fundamental frequency increases as the tube diameter increases, until it reaches a critical diameter beyond which it decreases. As the diameter continues to increase, the change of fundamental frequency becomes smaller and smaller and converges to that of counterpart graphite sheet. The critical diameter is largely dependent on tube lengths and constraints but independent of chiralities. It is found that the increase of tube length gives rise to an increase of critical diameter. As far as constraints are concerned, the critical diameter of fixed–free style is much larger than that of the fixed–fixed style.
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影响因子：
3.7
作者：
Liew, KM;Wong, CH;Meguid, SA
通讯作者：
Meguid, SA
DOI：
10.1016/j.cma.2008.02.003
发表时间：
2008-06
影响因子：
7.2
作者：
Yuzhou Sun;K. Liew
通讯作者：
Yuzhou Sun;K. Liew
DOI：
10.1007/3-540-39947-x_12
发表时间：
2001
期刊：
--
影响因子：
--
作者：
B. Yakobson;P. Avouris
通讯作者：
B. Yakobson;P. Avouris
影响因子：
6.3
作者：
K. Liew;J. Yan;Yuzhou Sun;Linghui He
通讯作者：
K. Liew;J. Yan;Yuzhou Sun;Linghui He
影响因子：
2.9
作者：
Yuzhou Sun;K. Liew
通讯作者：
Yuzhou Sun;K. Liew