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Research Papers

Vibration Analysis of Single Walled Boron Nitride Nanotube Based Nanoresonators

[+] Author and Article Information
Mitesh B. Panchal

e-mail: miteshbpanchal77@gmail.com

S. H. Upadhyay

e-mail: upadhyaysanjayh@yahoo.com

S. P. Harsha

e-mail: spharsha@gmail.com
Vibration and Noise Control Laboratory,
Mechanical & Industrial Engineering Department,
Indian Institute of Technology, Roorkee,
Roorkee 247667, Uttarakhand, India

Manuscript received March 31, 2012; final manuscript received July 30, 2012; published online January 18, 2013. Assoc. Editor: Debjyoti Banerjee.

J. Nanotechnol. Eng. Med 3(3), 031004 (Jan 18, 2013) (5 pages) doi:10.1115/1.4007696 History: Received March 31, 2012; Revised July 30, 2012

In this paper, the vibration response analysis of single walled boron nitride nanotubes (SWBNNTs) treated as thin walled tube has been done using finite element method (FEM). The resonant frequencies of fixed-free SWBNNTs have been investigated. The analysis explores the resonant frequency variations as well as the resonant frequency shift of the SWBNNTs caused by the changes in size of BNNTs in terms of length as well as the attached masses. The performance of cantilevered SWBNNT mass sensor is also analyzed based on continuum mechanics approach and compared with the published data of single walled carbon nanotube (SWCNT) for fixed-free configuration as a mass sensor. As a systematic analysis approach, the simulation results based on FEM are compared with the continuum mechanics based analytical approach and are found to be in good agreement. It is also found that the BNNT cantilever biosensor has better response and sensitivity compared to the CNT as a counterpart. Also, the results indicate that the mass sensitivity of cantilevered boron nitride nanotube nanomechanical resonators can reach 10−23 g and the mass sensitivity increases when smaller size nanomechanical resonators are used in mass sensors.

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Figures

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Fig. 1

Cantilevered single walled BNNT nanomechanical resonator with attached mass at tip of the beam

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Fig. 2

(a) Cantilevered single walled boron nitride nanotube 3D FEM model and (b) enlarged plot of FEM model

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Fig. 3

Partial cross section of a BNNT, where db is the diameter of boron atom, dn diameter of nitrogen atom, and h is the equivalent thickness of the nanotube

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Fig. 4

Resonant frequency variations to attached mass, comparison of continuum mechanics based analytical approach of present work for cantilevered SWBNNT to published data of cantilevered SWCNT by Li and Chou [19]

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Fig. 5

Mass sensitivity of cantilevered SWBNNT using continuum mechanics based analytical approach and FEM simulation, for different tube lengths. (a) Resonant frequency variations to attached mass and (b) resonant frequency shift variations to attached mass.

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