0
Research Papers

Energy Loss in Carbon Nanotube Beam Oscillators due to Anelastic Relaxation

[+] Author and Article Information
Zhong Zhou, Vijay K. Vasudevan

Mechanical Engineering Program, School of Dynamic Systems,  University of Cincinnati, Cincinnati, OH 45221-0072

Dong Qian1

Mechanical Engineering Program, School of Dynamic Systems,  University of Cincinnati, Cincinnati, OH 45221-0072dong.qian@uc.edu

1

Corresponding author.

J. Eng. Mater. Technol 134(3), 031005 (May 07, 2012) (8 pages) doi:10.1115/1.4006506 History: Received September 26, 2011; Revised December 23, 2011; Published May 04, 2012; Online May 07, 2012

We present a semi-analytical approach to study the energy dissipation in carbon nanotube (CNT) beam oscillators under gigahertz excitation. The energy dissipation properties are quantified by the quality factor (Q factor) and associated anelastic properties. Our study reveals that the Q factor is related to the tube radius through an inverse relation for both single walled CNTs (SWCNTs) and multiwalled CNTs (MWCNTs) beam oscillators. At frequency close to the resonance range, significant energy dissipation is observed due to the activation of phonon modes that serve as a major mechanism for energy dissipation in SWCNTs. For MWCNTs, a registration dependent potential (RDP) is introduced to study the effect of intertube registration. Interlayer friction arising from the π bond overlap is shown to contribute significantly to the additional energy dissipation. Based on the extensive simulation studies, an analytical formula for estimating the Q factors of MWCNTs is proposed. Validation of the analytical prediction with the available experimental data yields a good agreement and quantifies the roles of different factors contributing to the energy dissipation through anelastic relaxation.

FIGURES IN THIS ARTICLE
<>
Copyright © 2012 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 2

Comparison between RDP and LJ. (a) The interlayer energy difference between AA and AB stacking of graphite as a function of interlayer distance. (b) The interlayer energy corrugation against parallel sliding for two graphene sheets 3.34 Å apart.

Grahic Jump Location
Figure 3

Definition of the transverse distances between two carbon atoms and parameters used in the RDP model

Grahic Jump Location
Figure 4

Force and displacement of a (10, 10) SWCNT, from dynamic bending at F0=0.16nN and f=ω/2π=7.96GHz

Grahic Jump Location
Figure 5

Complex bending moduli of cantilevered CNTs with different outer radius: (a) storage modulus and (b) loss modulus

Grahic Jump Location
Figure 6

The quality factor Q versus outer radius dependence for SW-, DW-, and TWCNTs

Grahic Jump Location
Figure 7

Comparison of Q factor of CNTs with different number of tube walls

Grahic Jump Location
Figure 8

Q factor of DWCNT (5, 5)/(10, 10) with different length to diameter ratio

Grahic Jump Location
Figure 9

Complex bending moduli of cantilevered CNTs under different loading frequencies: (a) storage modulus and (b) loss modulus

Grahic Jump Location
Figure 10

The quality factor Q versus frequency dependence for SW- and DWCNTs

Grahic Jump Location
Figure 1

Schematic showing a cantilevered CNT beam under dynamic bending

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In