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Research Paper

Vibration Response Analysis of Doubly Clamped Single Walled Wavy 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 247667, Indiaanandyjoshi@gmail.com

Aashish Bhatnagar

Department of Mechanical and Industrial Engineering, Vibration and Noise Control Laboratory, Indian Institute of Technology, Roorkee 247667, Indiaaashish.bhatnagar.86@gmail.com

S. P. Harsha

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

Satish C. Sharma

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

J. Nanotechnol. Eng. Med 1(3), 031004 (Aug 10, 2010) (5 pages) doi:10.1115/1.4001897 History: Received May 17, 2010; Revised May 26, 2010; Published August 10, 2010; Online August 10, 2010

In this paper, the vibration signature of straight and wavy single walled carbon nanotube (SWCNT) doubly clamped at a source and a drain has been analyzed and is used to represent single mode resonator. The previous study showed the experimentally measured resonance frequencies of carbon nanotubes (CNTs) for straight beams CNT have been used. However, from photomicrographic images of CNTs, it is clear that they are not straight and they have some significant surface deviation such as waviness or curvature associated with them. In the present study; the vibration response analysis of CNTs with waviness has been done. The results showed the sensitivity of the SWCNTs having different waviness to mass (attached at different position along the length of a doubly clamped SWCNT) and different lengths. This study explores the effect of waviness on the mass sensitivity of a nanomechanical resonator.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

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 and mass attached at position a

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Figure 3

Frequency variation in doubly clamped SWCNT for different lengths (analytical and FEM)

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Figure 4

Frequency variation in doubly clamped SWCNT with 10−2 fg mass attached at the midposition for different lengths (analytical and FEM)

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Figure 5

Frequency variation in (a) straight doubly clamped SWCNT with change in length and position of the attached mass along the length and (b) wavy doubly clamped SWCNT with change in length and position of the attached mass along the length

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Figure 6

Orbit plots of a doubly clamped wavy (e/L=0.1) SWCNT with length of 20 nm (a) without mass (b)–(e) 10e−2 fg mass attached at a distance of 2.5 nm, 5 nm, 7.5 nm, and 10 nm along the length, respectively

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