Vibration of short carbon nanotubes using generalized differential quadrature rule

Payam Soltani, Payam Bahar, Anoushiravan Farshidianfar

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

Abstract

In this paper, the transversely vibrating governing equations of a multi-wall carbon nanotube (MWNT) on a Winkler elastic foundation have been derived. The model includes the effects of shear deformation (SD) and rotary inertia (RI) using Timoshenko beam theory for short nanotubes. The van der Waals interaction between the tubes is taken into account. The model supports not only traditional boundary conditions such as free-free, clamped-clamped and cantilever; but also all possible end conditions. This makes the model more compatible for real applications, especially in nanocomposites. By using generalized differential quadrature method (GDQM), the equations are solved for carbon nanotubes (CNTs) with different aspect ratios, various boundary conditions and different foundation stiffness to obtain resonant frequencies. Numerical results for double-wall and multi-wall carbon nanotubes showed that by decreasing aspect ratio of the CNT, the effects of SD and RI increase. Moreover, the effects of ends stiffness play an important role to determine resonant frequencies, especially for small aspect ratios when the stiffness of elastic medium is relatively small.

Original languageEnglish
Title of host publication16th International Congress on Sound and Vibration 2009, ICSV 2009
PublisherIIAV International Institute of Acoustics and Vibration
Pages3569-3576
Number of pages8
Volume6
ISBN (Print)9781615677368
Publication statusPublished - 1 Dec 2009
Externally publishedYes
Event16th International Congress on Sound and Vibration 2009, ICSV 2009 - Krakow, Poland
Duration: 5 Jul 20099 Jul 2009

Conference

Conference16th International Congress on Sound and Vibration 2009, ICSV 2009
CountryPoland
CityKrakow
Period5/07/099/07/09

Fingerprint

quadratures
carbon nanotubes
aspect ratio
stiffness
vibration
inertia
resonant frequencies
boundary conditions
shear
Timoshenko beams
elastic media
nanotubes
nanocomposites
tubes
interactions

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

Soltani, P., Bahar, P., & Farshidianfar, A. (2009). Vibration of short carbon nanotubes using generalized differential quadrature rule. In 16th International Congress on Sound and Vibration 2009, ICSV 2009 (Vol. 6, pp. 3569-3576). IIAV International Institute of Acoustics and Vibration .

Vibration of short carbon nanotubes using generalized differential quadrature rule. / Soltani, Payam; Bahar, Payam; Farshidianfar, Anoushiravan.

16th International Congress on Sound and Vibration 2009, ICSV 2009. Vol. 6 IIAV International Institute of Acoustics and Vibration , 2009. p. 3569-3576.

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

Soltani, P, Bahar, P & Farshidianfar, A 2009, Vibration of short carbon nanotubes using generalized differential quadrature rule. in 16th International Congress on Sound and Vibration 2009, ICSV 2009. vol. 6, IIAV International Institute of Acoustics and Vibration , pp. 3569-3576, 16th International Congress on Sound and Vibration 2009, ICSV 2009, Krakow, Poland, 5/07/09.
Soltani P, Bahar P, Farshidianfar A. Vibration of short carbon nanotubes using generalized differential quadrature rule. In 16th International Congress on Sound and Vibration 2009, ICSV 2009. Vol. 6. IIAV International Institute of Acoustics and Vibration . 2009. p. 3569-3576
Soltani, Payam ; Bahar, Payam ; Farshidianfar, Anoushiravan. / Vibration of short carbon nanotubes using generalized differential quadrature rule. 16th International Congress on Sound and Vibration 2009, ICSV 2009. Vol. 6 IIAV International Institute of Acoustics and Vibration , 2009. pp. 3569-3576
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