Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896084 | Chaos, Solitons & Fractals | 2009 | 8 Pages |
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.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Fathi N. Mayoof, Muhammad A. Hawwa,