Nonlinear oscillations of a double-walled carbon nanotube

被引：36

作者：

Hawwa, Muhammad A. ^{[1
]}

Al-Qahtani, Hussain M. ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Mech Engn, Dhahran 31261, Saudi Arabia

来源：

COMPUTATIONAL MATERIALS SCIENCE | 2010年 / 48卷 / 01期

关键词：

Carbon nanotubes; Continuum modeling; Nonlinear oscillations; Chaotic behavior; RAMAN-SCATTERING; VIBRATION;

D O I：

10.1016/j.commatsci.2009.12.020

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An elastic continuum approach for modeling the nonlinear vibration of a double-walled carbon nanotubes under harmonic excitation is presented. The carbon nanotube is modeled as two doubly clamped beams coupled through nonlinear continuous springs representing van der Waal bonds. Geometric non-linearity is included due to mid-plane stretching. A Galerkin approach is used to discretize the integro-partial differential equation leading to two nonlinear coupled second-order ordinary differential governing equations. The numerically obtained dynamic response to a primary-resonance exciting the co-axially first and second vibration modes is investigated through frequency response, periodic and chaotic motions characteristics. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：140 / 143

页数：4

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