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Technical Briefs

Defect-Induced Mechanical Mode Splitting in Carbon Nanotube Resonators

[+] Author and Article Information
Ajit K. Vallabhaneni

School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907

Jeffrey F. Rhoads

School of Mechanical Engineering,
Birck Nanotechnology Center,
Ray W. Herrick Laboratories,
Purdue University,
West Lafayette, IN 47907
e-mail: jfrhoads@purdue.edu

Jayathi Y. Murthy

Department of Mechanical Engineering,
University of Texas at Austin
Austin, TX 78712

Xiulin Ruan

School of Mechanical Engineering,
Birck Nanotechnology Center,
Purdue University,
West Lafayette, IN 47907

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received May 14, 2012; final manuscript received November 14, 2012; published online February 25, 2013. Assoc. Editor: Walter Lacarbonara.

J. Vib. Acoust 135(2), 024504 (Feb 25, 2013) (4 pages) Paper No: VIB-12-1150; doi: 10.1115/1.4023057 History: Received May 14, 2012; Revised November 14, 2012

This work examines the impact of defects on the resonant response of single-wall carbon nanotube (CNT) resonators using classical molecular dynamics (MD) simulations. The work demonstrates that the presence of defects in CNTs leads to appreciable resonant mode splitting. A dimensionless parameter has been introduced to quantify this phenomenon. It is observed that increasing the degree of asymmetry in the system generally increases the magnitude of splitting. Given the centrality of single-peak Lorentzian frequency responses in the current device design paradigm, which is utilized in applications such as resonant mass sensing, the non-Lorentzian response characteristics of imperfect devices could present both opportunities and challenges in the future design and development of resonant nanosystems.

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Figures

Grahic Jump Location
Fig. 1

A representative (10,10) 8 nm long, single-wall carbon nanotube with (a) a single defect and (b) multiple defects highlighted

Grahic Jump Location
Fig. 2

A comparison of the frequency response of kinetic energy of a (10,10) 8 nm long CNT under transverse excitation with a single defect (black) and without defects (red). Note that the fast Fourier transform algorithm used in this work has a resolution of 62.5 MHz.

Grahic Jump Location
Fig. 3

Variation of the nondimensional mode splitting parameter Δ as a function of the percentage of atoms removed from the CNT. In subfigure (a) the atoms are removed randomly; in subfigure (b) the atoms are removed along a line given by the orientation angle θ = 45 deg.

Grahic Jump Location
Fig. 4

(a) Frequency response of the kinetic energy of the CNT for various angular orientations (θ) of the defects. (b) The amplitudes of the two resonance peaks at frequencies f1 and f2, respectively.

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