Extended theory of elastica for free torsional, longitudinal, and radial breathing vibrations of single-walled carbon nanotubes

被引：6
|
作者：
Delfani, M. R. [1 ]
机构：
[1] KN Toosi Univ Technol, Fac Civil Engn, Tehran, Iran
来源：
JOURNAL OF SOUND AND VIBRATION | 2017年 / 403卷
关键词：
Single-walled carbon nanotube; Elastica; Free vibration; Radial breathing mode; WAVE-PROPAGATION; RAMAN-SPECTROSCOPY; YOUNGS MODULUS; SHELL-MODEL; MECHANICS; GRAPHENE; BEHAVIOR;
D O I：
10.1016/j.jsv.2017.05.020
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
Single-walled carbon nanotube (SWCNT) can be viewed as a two-dimensional elastica obtained from rolling up graphene into a cylinder. By extending the formulation of elastica to dynamic problems, the present study provides an analysis for free torsional, longitudinal, and radial breathing vibrations of SWCNTs. With incorporating the effects of both geometrical and material nonlinearities, the exact closed-form expressions are obtained for the deformation field and the natural angular frequency of the elastica corresponding to the freely vibrating SWCNT. It is shown that torsional, longitudinal, and radial breathing modes of deformation are coupled to each other in free vibration of SWCNTs. However, for the special cases of zigzag and armchair SWCNTs as well as the limiting case of large radius SWCNTs, torsional mode of deformation is decoupled from the other two modes. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：104 / 128
页数：25
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