Chaotic behavior of a curved carbon nanotube under harmonic excitation

Fathi N. Mayoof and Muhammad A. Hawwa

Chaos, Solitons & Fractals, 2009, vol. 42, issue 3, 1860-1867

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.

Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077909002343
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:3:p:1860-1867

DOI: 10.1016/j.chaos.2009.03.104

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().