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Research Papers

Vibration of Double-Walled Carbon Nanotube-Based Mass Sensor via Nonlocal Timoshenko Beam Theory

[+] Author and Article Information
Zhi-Bin Shen

College of Aerospace and Material Engineering,  National University of Defense Technology, Changsha, Hunan 410073, Chinazb_shen@yeah.net

Bin Deng

College of Aerospace and Material Engineering,  National University of Defense Technology, Changsha, Hunan 410073, Chinadbhj0@sina.com

Xian-Fang Li

 School of Civil Engineering, Central South University, Changsha, Hunan 410075, Chinaxfli00@hotmail.com

Guo-Jin Tang1

 College of Aerospace and Material Engineering, National University of Defense Technology, Changsha, Hunan 410073, Chinatanggj@nudt.edu.cn

1

Corresponding author.

J. Nanotechnol. Eng. Med 2(3), 031003 (Jan 09, 2012) (10 pages) doi:10.1115/1.4005489 History: Received July 14, 2011; Revised August 25, 2011; Published January 09, 2012; Online January 09, 2012

The potential of double-walled carbon nanotubes (DWCNTs) as a micromass sensor is explored. A nonlocal Timoshenko beam carrying a micromass at the free end of the inner tube is used to analyze the vibration of DWCNT-based mass sensor. The length of the outer tube is not equal to that of the inner tube, and the interaction between two tubes is governed by van der Waals force (vdW). Using the transfer function method, the natural frequencies of a nonlocal cantilever with a tip mass are computed. The effects of the attached mass and the outer-to-inner tube length ratio on the natural frequencies are discussed. When the nonlocal parameter is neglected, the frequencies reduce to the classical results, in agreement with those using the finite element method. The obtained results show that increasing the attached micromass decreases the natural frequency but increases frequency shift. The mass sensitivity improves for short DWCNTs used in mass sensor. The nonlocal Timoshenko beam model is more adequate than the nonlocal Euler-Bernoulli beam model for short DWCNT sensors. Obtained results are helpful to the design of DWCNT-based resonator as micromass sensor.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

A cantilever DWCNT-based mass sensor with inner and outer nanotubes of different lengths

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Figure 2

A FEM model for cantilever DWCNT-based mass sensor with different tube lengths

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Figure 3

The fundamental frequency shift of a DWCNT sensor versus attached mass with L1  = 14 nm

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Figure 4

The effect of length ratio and DWCNT length on the fundamental frequency shift of the SWCNT sensor versus attached mass with e0 a/L = 0.3

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Figure 5

The effect of small scale on the fundamental frequency of the DWCNT sensor versus length ratio (a) different nonlocal parameters with m = 0 (b) different attached mass with e0 a/L = 0.3

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Figure 6

The effect of small scale and attached mass on the fundamental frequency of the DWCNT sensor versus length ratio with L1  = 14 nm (a) e0 a/L = 0.0 (b) e0 a/L = 0.3

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Figure 7

Effects of transverse shear deformation and rotary inertia on vibration frequencies for DWCNT based mass sensor with m = 10, and e0a/L = 0.1 and (NT—nonlocal Timoshenko beam model; NE—nonlocal Euler beam model.)

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