The thermo-mechanical vibration of a single-walled carbon nanotube studied using the Bubnov-Galerkin method

被引：26

作者：

Mustapha, K. B. ^{[1
]}

Zhong, Z. W. ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore 639798, Singapore

来源：

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES | 2010年 / 43卷 / 01期

关键词：

NATURAL FREQUENCIES; WAVE-PROPAGATION; YOUNGS MODULUS; TEMPERATURE; INSTABILITY;

D O I：

10.1016/j.physe.2010.08.012

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

The subject of this study is the application of the Bubnov-Galerkin method to the multi-parameter thermo-mechanical vibration of a single-walled carbon nanotube (SWCNT) embedded in a Winkler-type elastic medium. The studies are carried out on the basis of the nonlocal continuum mechanics modeling of the SWCNT. The independent and combined effects of the small scale coefficient (nonlocal parameter), the thermal loading, and the elastic foundation on the fundamental natural frequencies of the SWCNT are extensively investigated. Different boundary configurations of the SWCNT are considered. Validation of special cases of the model with results available in the literature shows good agreement. It is observed that in the presence of the thermally induced axial force, the variation in the fundamental frequencies with the scale coefficient does not follow the same trend for all the boundary conditions. The results also show that for all the boundary configurations, the influence of the elastic foundation on the natural frequencies of the SWCNT is small when compared to the influence of the thermally induced axial force and the nonlocal parameter. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：375 / 381

页数：7

共 46 条

[1] Carbon nanotube actuators [J].

Baughman, RH ;

Cui, CX ;

Zakhidov, AA ;

Iqbal, Z ;

Barisci, JN ;

Spinks, GM ;

Wallace, GG ;

Mazzoldi, A ;

De Rossi, D ;

Rinzler, AG ;

Jaschinski, O ;

Roth, S ;

Kertesz, M .

SCIENCE, 1999, 284 (5418) :1340-1344

[2] The thermal effect on vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory [J].

Benzair, A. ;

Tounsi, A. ;

Besseghier, A. ;

Heireche, H. ;

Moulay, N. ;

Boumia, L. .

JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2008, 41 (22)

[3] NATURAL FREQUENCIES OF RECTANGULAR-PLATES USING CHARACTERISTIC ORTHOGONAL POLYNOMIALS IN RAYLEIGH-RITZ METHOD [J].

BHAT, RB .

JOURNAL OF SOUND AND VIBRATION, 1985, 102 (04) :493-499

[4] Fabrication of a nanoelectromechanical switch using a suspended carbon nanotube [J].

Cha, SN ;

Jang, JE ;

Choi, Y ;

Amaratunga, GAJ ;

Kang, DJ ;

Hasko, DG ;

Jung, JE ;

Kim, JM .

APPLIED PHYSICS LETTERS, 2005, 86 (08) :1-3

[5] The small length scale effect for a non-local cantilever beam: a paradox solved [J].

Challamel, N. ;

Wang, C. M. .

NANOTECHNOLOGY, 2008, 19 (34)

[6]

Chang W. J., 2009, PHYS LETT A

[7]

Duncan W. J., 1937, 1978 AER RES COMM

[8]

ELISHAKOFF I., 2005, Eigenvalues of Inhomogeneous Structures - Unusual Closed-Form Solutions

[9] Fundamental natural frequencies of double-walled carbon nanotubes [J].

Elishakoff, Isaac ;

Pentaras, Demetris .

JOURNAL OF SOUND AND VIBRATION, 2009, 322 (4-5) :652-664

[10] ON DIFFERENTIAL-EQUATIONS OF NONLOCAL ELASTICITY AND SOLUTIONS OF SCREW DISLOCATION AND SURFACE-WAVES [J].

ERINGEN, AC .

JOURNAL OF APPLIED PHYSICS, 1983, 54 (09) :4703-4710

← 1 2 3 4 5 →