Nonlinear vibration of fluid-conveying carbon nanotube using homotopy analysis method

H. Askari, D. Zhang, E. Esmailzadeh

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

6 Citations (Scopus)

Abstract

Nonlinear vibration analysis of a single-walled carbon nanotube, using the Eringen nonlocal elasticity and Euler-Bernoulli beam theories, is carried out. Pasternak-type foundation and the simply-supported boundary conditions are assumed for the carbon nanotube and the governing equation of motion is developed using those theories. The Galerkin method is utilized to obtain the nonlinear ordinary differential equation of vibration of the single-walled carbon nanotube and the homotopy analysis method is employed to determine its nonlinear natural frequency. A parametric sensitivity study is then carried out. Few of the parameters were the axial tension, nonlocal parameter, fluid velocity and the foundation stiffness. The parametric study is mainly focused on the nonlinear natural frequency of single-walled carbon nanotube. Finally, a numerical simulation is carried out to determine the accuracy of the obtained results. Furthermore, an elliptical integral is utilized to verify the nonlinear natural frequency, which was obtained using the homotopy analysis method.

Original languageEnglish
Title of host publication2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013
Pages545-548
Number of pages4
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013 - Beijing, China
Duration: 5 Aug 20138 Aug 2013

Publication series

NameProceedings of the IEEE Conference on Nanotechnology
ISSN (Print)1944-9399
ISSN (Electronic)1944-9380

Conference

Conference2013 13th IEEE International Conference on Nanotechnology, IEEE-NANO 2013
Country/TerritoryChina
CityBeijing
Period5/08/138/08/13

ASJC Scopus subject areas

  • Bioengineering
  • Electrical and Electronic Engineering
  • Materials Chemistry
  • Condensed Matter Physics

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