Periodic solution for nonlinear vibration of a fluid-conveying carbon nanotube, based on the nonlocal continuum theory by energy balance method

Payam Soltani, Anoshirvan Farshidianfar

Research output: Contribution to journalArticle

36 Citations (Scopus)
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Abstract

A nonlinear model is developed for the vibration of a single-walled carbon nanotube (SWCNT) based on Eringen’s nonlocal elasticity theory. The nanotube is assumed to be embedded in a Pasternak-type foundation with simply supported boundary conditions. The nonlinear equation of motion is solved by the energy balance method (EBM) to obtain a sufficiently accurate flow-induced frequency. It is demonstrated that the nonlinearity of the model makes a reasonable change to the frequency at high flow velocity and for the large deformations. Furthermore, the deviation of the frequency from the linear frequency will be exaggerated with an increase in the nonlocal parameter and a decrease of the Pasternak parameters. Ultimately, the results show that the nonlinearity of the model can be effectively tuned by applying axial tension to the nanotube.

Original languageEnglish
Pages (from-to)3712-3724
Number of pages13
JournalApplied Mathematical Modelling
Volume36
Issue number8
Early online date10 Nov 2011
DOIs
Publication statusPublished - Aug 2012

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Nonlinear Vibration
Energy Balance
Conveying
Energy balance
Nanotubes
Carbon nanotubes
Periodic Solution
Carbon
Continuum
Fluid
Fluids
Nonlinearity
Single-walled carbon nanotubes (SWCN)
Nonlocal Elasticity
Nonlinear equations
Flow velocity
Single-walled Carbon Nanotubes
Equations of motion
Elasticity
Elasticity Theory

Bibliographical note

© 2017, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

Keywords

  • Flow-induced vibration
  • Nonlinear vibration
  • Energy balance method
  • Nonlocal theory
  • Pasternak foundation

Cite this

Periodic solution for nonlinear vibration of a fluid-conveying carbon nanotube, based on the nonlocal continuum theory by energy balance method. / Soltani, Payam; Farshidianfar, Anoshirvan.

In: Applied Mathematical Modelling, Vol. 36, No. 8, 08.2012, p. 3712-3724.

Research output: Contribution to journalArticle

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