Chaotic behavior of a curved carbon nanotube under harmonic excitation

Fathi N. Mayoof; Muhammad A. Hawwa

doi:10.1016/j.chaos.2009.03.104

Chaotic behavior of a curved carbon nanotube under harmonic excitation

Fathi N. Mayoof
, Muhammad A. Hawwa^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

93 Scopus citations

Abstract

Nonlinear vibration of a carbon nanotube with waviness along its axis is investigated. The carbon nanotube having a single wall and that is doubly clamped at a source and a drain is used to represent a single-mode resonator. The problem is formulated on the basis of the elastic continuum mechanics theory, where the carbon nanotube is modeled as a harmonically excited beam under a transverse force. The equation of motion involves a quadratic and cubic terms due to the curved geometry and the mid-plane stretching. The dynamics response of the resonator is analyzed in the context of the bifurcation theory. Noteworthy is the nonlinear effect of period doubling turning to chaos.

Original language	English
Pages (from-to)	1860-1867
Number of pages	8
Journal	Chaos, Solitons and Fractals
Volume	42
Issue number	3
DOIs	https://doi.org/10.1016/j.chaos.2009.03.104
State	Published - 15 Nov 2009

Bibliographical note

Funding Information:
The authors acknowledge support offered by King Fahd University of Petroleum and Minerals.

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2009.03.104

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title = "Chaotic behavior of a curved carbon nanotube under harmonic excitation",

abstract = "Nonlinear vibration of a carbon nanotube with waviness along its axis is investigated. The carbon nanotube having a single wall and that is doubly clamped at a source and a drain is used to represent a single-mode resonator. The problem is formulated on the basis of the elastic continuum mechanics theory, where the carbon nanotube is modeled as a harmonically excited beam under a transverse force. The equation of motion involves a quadratic and cubic terms due to the curved geometry and the mid-plane stretching. The dynamics response of the resonator is analyzed in the context of the bifurcation theory. Noteworthy is the nonlinear effect of period doubling turning to chaos.",

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T1 - Chaotic behavior of a curved carbon nanotube under harmonic excitation

AU - Mayoof, Fathi N.

AU - Hawwa, Muhammad A.

N1 - Funding Information: The authors acknowledge support offered by King Fahd University of Petroleum and Minerals.

PY - 2009/11/15

Y1 - 2009/11/15

N2 - Nonlinear vibration of a carbon nanotube with waviness along its axis is investigated. The carbon nanotube having a single wall and that is doubly clamped at a source and a drain is used to represent a single-mode resonator. The problem is formulated on the basis of the elastic continuum mechanics theory, where the carbon nanotube is modeled as a harmonically excited beam under a transverse force. The equation of motion involves a quadratic and cubic terms due to the curved geometry and the mid-plane stretching. The dynamics response of the resonator is analyzed in the context of the bifurcation theory. Noteworthy is the nonlinear effect of period doubling turning to chaos.

AB - Nonlinear vibration of a carbon nanotube with waviness along its axis is investigated. The carbon nanotube having a single wall and that is doubly clamped at a source and a drain is used to represent a single-mode resonator. The problem is formulated on the basis of the elastic continuum mechanics theory, where the carbon nanotube is modeled as a harmonically excited beam under a transverse force. The equation of motion involves a quadratic and cubic terms due to the curved geometry and the mid-plane stretching. The dynamics response of the resonator is analyzed in the context of the bifurcation theory. Noteworthy is the nonlinear effect of period doubling turning to chaos.

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IS - 3

ER -

Chaotic behavior of a curved carbon nanotube under harmonic excitation

Abstract

Bibliographical note

ASJC Scopus subject areas

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