Nonlinear vibration and rippling instability for embedded carbon nanotubes

Payam Soltani, DD Ganji, I Mehdipour, A Farshidianfar

Research output: Contribution to journal › Article

12 Citations (Scopus)

Abstract

Based on the rippling deformations, a nonlinear continuum elastic model is developed to analyze the transverse vibration of single-walled 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.
Original languageUndefined
Pages (from-to)985-992
Number of pages8
JournalJournal of Mechanical Science and Technology
Volume26
Issue number4
Early online date11 Apr 2012
DOIs
Publication statusPublished - 2012

Keywords

  • Carbon nanotube
  • Bending deformation
  • Ripple deformation
  • Nonlinear vibration
  • Winkler foundation

Cite this

Nonlinear vibration and rippling instability for embedded carbon nanotubes. / Soltani, Payam; Ganji, DD; Mehdipour, I; Farshidianfar, A.

In: Journal of Mechanical Science and Technology, Vol. 26, No. 4, 2012, p. 985-992.

Research output: Contribution to journal › Article

Soltani, P, Ganji, DD, Mehdipour, I & Farshidianfar, A 2012, 'Nonlinear vibration and rippling instability for embedded carbon nanotubes' Journal of Mechanical Science and Technology, vol. 26, no. 4, pp. 985-992. https://doi.org/10.1007/s12206-011-1006-7
Soltani P, Ganji DD, Mehdipour I, Farshidianfar A. Nonlinear vibration and rippling instability for embedded carbon nanotubes. Journal of Mechanical Science and Technology. 2012;26(4):985-992. https://doi.org/10.1007/s12206-011-1006-7
Soltani, Payam ; Ganji, DD ; Mehdipour, I ; Farshidianfar, A. / Nonlinear vibration and rippling instability for embedded carbon nanotubes. In: Journal of Mechanical Science and Technology. 2012 ; Vol. 26, No. 4. pp. 985-992.
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AU - Soltani, Payam

AU - Ganji, DD

AU - Mehdipour, I

AU - Farshidianfar, A

PY - 2012

Y1 - 2012

N2 - Based on the rippling deformations, a nonlinear continuum elastic model is developed to analyze the transverse vibration of single-walled 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.

AB - Based on the rippling deformations, a nonlinear continuum elastic model is developed to analyze the transverse vibration of single-walled 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.

KW - Carbon nanotube

KW - Bending deformation

KW - Ripple deformation

KW - Nonlinear vibration

KW - Winkler foundation

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