On the vibrations of single-walled carbon nanotubes

被引：50
|
作者：
Arghavan, S. [1 ]
Singh, A. V. [1 ]
机构：
[1] Univ Western Ontario, Fac Engn, Dept Mech & Mat Engn, London, ON N6A 5B9, Canada
来源：
JOURNAL OF SOUND AND VIBRATION | 2011年 / 330卷 / 13期
基金：
加拿大自然科学与工程研究理事会;
关键词：
ELASTIC PROPERTIES; MECHANICAL-PROPERTIES; WAVE PROPAGATION; YOUNGS MODULUS; ENERGY; MODEL;
D O I：
10.1016/j.jsv.2011.01.032
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
In this paper, a detailed numerical study on the free and forced vibrations of single walled carbon nanotubes is presented. A simple and straightforward method developed such that the proximity of the mathematical model to the actual atomic structure of the nanotube is significantly retained, is used for this purpose. Both zigzag and armchair chiralities of the carbon nanotubes for clamped-free and clamped-clamped boundary conditions are analyzed and their natural frequencies and corresponding mode shapes are obtained. Results pertaining to axial, bending, and torsional modes of vibration are reported with discussions. These modes of vibration appear in the eigen-values and eigen-vectors without any distinction. The direct integration method by Newmark is used extensively along with the fast Fourier transform to identify different types of vibrational modes. In the case of zigzag nanotubes, the axial, bending, and torsional modes appear to be decoupled, whereas the armchair nanotubes show coupling between such modes. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3102 / 3122
页数：21
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