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Research Papers

On the Oscillation Frequency of Ellipsoidal Fullerene–Carbon Nanotube Oscillators

[+] Author and Article Information
R. Ansari1

F. Sadeghi

Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran

1

Corresponding author.

J. Nanotechnol. Eng. Med 3(1), 011001 (Aug 10, 2012) (11 pages) doi:10.1115/1.4006954 History: Received June 28, 2011; Revised March 31, 2012; Published August 10, 2012; Online August 10, 2012

There are many new nanomechanical devices created based on carbon nanostructures among which gigahertz oscillators have generated considerable interest to many researchers. In the present paper, the oscillatory behavior of ellipsoidal fullerenes inside single-walled carbon nanotubes is studied comprehensively. Utilizing the continuum approximation along with Lennard–Jones potential, new semi-analytical expressions are presented to evaluate the potential energy and van der Waals interaction force of such systems. Neglecting the frictional effects, the equation of motion is directly solved on the basis of the actual force distribution between the interacting molecules. In addition, a semi-analytical expression is given to determine the oscillation frequency into which the influence of initial conditions is incorporated. Based on the newly derived expression, a thorough study on the various aspects of operating frequencies under different system variables such as geometrical parameters and initial conditions is conducted. Based on the present study, some new aspects of such nano-oscillators have been disclosed.

Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Geometry of an ellipsoidal fullerene interacting with a single-walled carbon nanotube

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Figure 2

Linear transformation from plane (φ1,φ2) to plane (α,β)

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Figure 3

Suction energy versus the tube radius for several kinds of ellipsoidal fullerenes

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Figure 4

van der Waals interaction force and potential energy for different kinds of ellipsoidal fullerenes (L = 80 Å)

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Figure 5

van der Waals interaction force and potential energy for different lengths of tube (Re = 3.58 Å)

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Figure 6

Potential energy at the center of the tube against the half length of tube for various types of ellipsoidal fullerenes

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Figure 7

Separation distance and velocity of the C80 fullerene along the tube axis (L = 80 Å)

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Figure 8

Variation of frequency with the initial separation for several lengths of tube (Re = 3.58 Å)

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Figure 9

Variation of critical initial separation with the half length of tube (Re = 3.58 Å)

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Figure 10

Variation of maximum frequency with the half length of tube (Re = 3.58 Å)

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Figure 11

Variation of initial velocity with the motion amplitude for several lengths of tube (Re = 3.58 Å)

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Figure 12

Variation of frequency with the initial velocity for various lengths of tube (Re = 3.58 Å)

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Figure 13

Variation of frequency with the initial separation for several kinds of ellipsoidal fullerenes (L = 80 Å)

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Figure 14

Variation of critical initial separation with the equatorial-semiaxis length of ellipsoidal fullerene (L = 80 Å)

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Figure 15

Variation of maximum frequency with the equatorial-semiaxis length of ellipsoidal fullerene (L = 80 Å)

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Figure 16

Variation of initial velocity with the motion amplitude for several kinds of ellipsoidal fullerenes (L = 80 Å)

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Figure 17

Variation of frequency with the initial velocity for different types of ellipsoidal fullerenes (L = 80 Å)

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