Journal of Mechanical Science and Technology, ( ISI ), Volume (26), No (4), Year (2012-2) , Pages (985-992)

Title : ( Nonlinear vibration and rippling instability for embedded carbon nanotubes )

Authors: Payam Soltani , D.D. Ganji , I. Mehdipour , Anoshirvan Farshidianfar ,

Citation: BibTeX | EndNote

Based on the rippling deformations, a nonlinear continuum elastic model is developed to analyze the transverse vibration of singlewalled carbon nanotubes (SWCNTs) embedded on a Winkler elastic foundation. The nonlinear natural frequency has been derived analytically for typical boundary conditions using the perturbation method of multi-scales. The results indicate that the nonlinear resonant frequency due to the rippling is related to the stiffness of the foundation, the boundary conditions, the excitation load-to-damping ratio, and the diameter-to-length ratio. Moreover, the rippling instability of carbon nanotubes, as a structural instability, is introduced and the influences of several effective parameters on this kind of instability are widely discussed.

Keywords

Carbon nanotube; Bending deformation; Ripple deformation; Nonlinear vibration; Winkler
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@article{paperid:1027463,
author = {Payam Soltani and D.D. Ganji and I. Mehdipour and Farshidianfar, Anoshirvan},
title = {Nonlinear vibration and rippling instability for embedded carbon nanotubes},
journal = {Journal of Mechanical Science and Technology},
year = {2012},
volume = {26},
number = {4},
month = {February},
issn = {1738-494x},
pages = {985--992},
numpages = {7},
keywords = {Carbon nanotube; Bending deformation; Ripple deformation; Nonlinear vibration; Winkler foundation},
}

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%0 Journal Article
%T Nonlinear vibration and rippling instability for embedded carbon nanotubes
%A Payam Soltani
%A D.D. Ganji
%A I. Mehdipour
%A Farshidianfar, Anoshirvan
%J Journal of Mechanical Science and Technology
%@ 1738-494x
%D 2012

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