Forced vibrations of slacked carbon nanotube resonators

Hassen M. Ouakad, Mohammad Younis*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

In this paper, we present an investigation of the dynamics of electrically actuated carbon nanotubes (CNTs) resonators including the effect of their initial curvature due to fabrication (slack). A nonlinear arch model is used to simulate the motion of the slacked CNT. A reduced-order model using a multimode Galerkin procedure based on the mode shapes of the straight un-actuated CNTs is derived. The reduced-order model equations are integrated numerically with time to reveal the steady-state response of the CNT when actuated by a DC load superimposed to an AC harmonic load. A perturbation method, the method of multiple scales, is used to obtain analytically the forced vibration response due to DC and small AC loads for various slacked CNT. Results of the perturbation method are verified with those obtained by numerically integrating the reduced-order model equations. The effective nonlinearity of the CNT is calculated as function of the slack and the DC load while using a beam model for the CNTs showing a softening dominant behavior.

Original languageEnglish (US)
Title of host publicationASME 2010 International Mechanical Engineering Congress and Exposition, IMECE 2010
Pages435-443
Number of pages9
EditionPARTS A AND B
DOIs
StatePublished - Dec 1 2010
EventASME 2010 International Mechanical Engineering Congress and Exposition, IMECE 2010 - Vancouver, BC, Canada
Duration: Nov 12 2010Nov 18 2010

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
NumberPARTS A AND B
Volume8

Other

OtherASME 2010 International Mechanical Engineering Congress and Exposition, IMECE 2010
CountryCanada
CityVancouver, BC
Period11/12/1011/18/10

ASJC Scopus subject areas

  • Mechanical Engineering

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