The thermal effect on nonlinear oscillations of carbon nanotubes with arbitrary boundary conditions

被引:59
作者
Ansari, R. [2 ]
Hemmatnezhad, M. [1 ]
Rezapour, J. [1 ]
机构
[1] Islamic Azad Univ, Fac Mech Engn, Lahijan Branch, Lahijan, Iran
[2] Univ Guilan, Dept Mech Engn, Rasht, Iran
关键词
Nonlinear vibrations; Carbon nanotube; Variational iteration method; Elastic medium; Thermal effect; VARIATIONAL ITERATION METHOD; VIBRATION; COMPOSITES;
D O I
10.1016/j.cap.2010.11.034
中图分类号
T [工业技术];
学科分类号
120111 [工业工程];
摘要
A single-beam model is presented for investigating the nonlinear vibrations of single-walled carbon nanotubes (SWNTs) embedded in an elastic medium. The thermal effect is also incorporated into the formulation. The variational iteration method is used to solve the corresponding nonlinear differential equation. The amplitude frequency curves for large-amplitude vibrations are graphically illustrated. The influences of thermal effect, some commonly used boundary conditions, changes in material constant of the surrounding elastic medium and variations of geometrical parameters on the vibration characteristics of nanotubes are studied. The results obtained are compared, where possible, with those from the open literature. This comparison clarifies the accuracy as well as the capability of the present method. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:692 / 697
页数:6
相关论文
共 31 条
[1]
Toward a modified variational iteration method [J].
Abassy, Tamer A. ;
El-Tawil, Magdy A. ;
El Zoheiry, H. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :137-147
[2]
[Anonymous], 1972, The method of weighted residuals and variational principles
[3]
Application of HPM to the Nonlinear Vibrations of Multiwalled Carbon Nanotubes [J].
Ansari, R. ;
Hemmatnezhad, M. ;
Ramezannezhad, H. .
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (02) :490-500
[4]
He's variational iteration method for solving linear and non-linear systems of ordinary differential equations [J].
Biazar, J. ;
Ghazvini, H. .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 191 (01) :287-297
[5]
Nanotubes as nanoprobes in scanning probe microscopy [J].
Dai, HJ ;
Hafner, JH ;
Rinzler, AG ;
Colbert, DT ;
Smalley, RE .
NATURE, 1996, 384 (6605) :147-150
[6]
Analysis of nonlinear vibration for embedded carbon nanotubes [J].
Fu, Y. M. ;
Hong, J. W. ;
Wang, X. Q. .
JOURNAL OF SOUND AND VIBRATION, 2006, 296 (4-5) :746-756
[7]
Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations [J].
Ganji, D. D. ;
Sadighi, A. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :24-34
[8]
Vibrations of carbon nanotubes and their composites: A review [J].
Gibson, Ronald F. ;
Ayorinde, Emmanuel O. ;
Wen, Yuan-Feng .
COMPOSITES SCIENCE AND TECHNOLOGY, 2007, 67 (01) :1-28
[9]
Hahn H.T., 1984, P 7 C ASTM COMPOSITE, V1, P115
[10]
Variational iteration method for autonomous ordinary differential systems [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (2-3) :115-123