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Research Paper

Dynamic Analysis of a Clamped Wavy Single Walled Carbon Nanotube Based Nanomechanical Sensors

[+] Author and Article Information
Anand Y. Joshi

Department of Mechanical and Industrial Engineering, Vibration and Noise Control Laboratory, Indian Institute of Technology Roorkee, Roorkee 247667, Indiaanandyjoshi@gmail.com

Satish C. Sharma

Department of Mechanical and Industrial Engineering, Vibration and Noise Control Laboratory, Indian Institute of Technology Roorkee, Roorkee 247667, Indiasshmefme@iitr.ernet.in

S. P. Harsha

Department of Mechanical and Industrial Engineering, Vibration and Noise Control Laboratory, Indian Institute of Technology Roorkee, Roorkee 247667, Indiasurajfme@iitr.ernet.in

J. Nanotechnol. Eng. Med 1(3), 031007 (Aug 11, 2010) (7 pages) doi:10.1115/1.4002072 History: Received June 08, 2010; Revised June 24, 2010; Published August 11, 2010; Online August 11, 2010

This paper deals with the dynamic analysis of carbon nanotube with surface deviation along its axis. The type of carbon nanotube used in this analysis is a single-walled carbon nanotube that is doubly clamped at a source and a drain and this type of nanotube is used to represent a single mode resonator. In previous studies, experimentally measured resonance frequencies of carbon nanotubes have been used along with classical beam theory for straight beams. However, it is found that these carbon nanotubes are not straight, and that they have some significant surface deviation associated with them. The resonant frequency of the doubly clamped single walled carbon nanotube (SWCNT) with deviation (waviness) has been investigated. The results showed the sensitivity of the single-walled carbon nanotubes having different waviness to different masses (attached at the center of a doubly clamped SWCNT) and different lengths. The sensitivity of resonant frequency shifts to tube length and waviness has been demonstrated. The vibration signature exhibits superharmonic and subharmonic responses with different levels of mass. The vibration spectra of CNT with varying attached mass from 105fg to 103fg show dense signature near peak of excitation. It is found that with the increase in mass attached to CNT with 60 nm length, the peak excitation appears in the vibration signature in chaotic nature with reduced vibration amplitude.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

((a) and (b)) Transmission electron microscope (TEM) images of carbon nanotube indicating the waviness

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Figure 2

Configuration of carbon nanotube resonator having waviness defined by ratio e/L

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Figure 3

Partial cross section of a nanotube, where dc is the theoretical diameter of a carbon atom and h is the equivalent thickness of the nanotube.

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Figure 4

FE Model of SWCNT with L=20 nm, D=1 nm, and e/L=0.1

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Figure 5

((a)–(c)) Variation of the frequency of doubly clamped SWCNT for different lengths and waviness

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Figure 6

FEM simulated frequency of doubly clamped SWCNT (e/L=0.1) versus attached mass

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Figure 7

Resonant frequency shift of doubly clamped SWCNT (e/L=0.1) versus attached mass

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Figure 8

Fast Fourier transformation diagrams of SWCNT (D=1 nm): (a)–(g) attached mass of 10−8–10−2 fg for a length of 20 nm, (h)–(n) attached mass of 10−8–10−2 fg for a length of 40 nm, and (o)–(u) attached mass of 10−8 fg–10−2 fg for a length of 60 nm

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