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Doubly-Clamped Single Walled Boron Nitride Nanotube Based Nanomechanical Resonators: A Computational Investigation of Their Behavior

[+] Author and Article Information
Mitesh B. Panchal

e-mail: miteshbpanchal77@gmail.com

S. H. Upadhyay

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

Manuscript received September 10, 2012; final manuscript received February 27, 2013; published online March 26, 2013. Assoc. Editor: Debjyoti Banerjee.

J. Nanotechnol. Eng. Med 3(4), 044501 (Mar 26, 2013) (9 pages) doi:10.1115/1.4023897 History: Received September 10, 2012; Revised February 27, 2013

This paper illustrates the dynamic behavior of a doubly-clamped single walled boron nitride nanotube (SWBNNT) as a mass sensor. To this end, a 3-dimensional atomistic model based on molecular structural mechanics is developed such that the proximity of the model to the actual atomic structure of the nanotube is significantly retained. Different types of zigzag and armchair layouts of SWBNNTs are considered with doubly-clamped end constraints. Implementing the finite element simulation approach, the resonant frequency shift based analysis is performed for doubly-clamped end-constraints, for an additional nanoscale mass at the middle of the length, and at the intermediate landing position along the length of the nanotube. The effect of the intermediate landing position of added mass on the resonant frequency shift is analyzed by considering excitations of the fundamental modes of vibration. The finite element method (FEM) based simulation results are validated using the continuum mechanics based analytical results, considering the effective wall thickness of the SWBNNT. The present approach is found to be effectual in terms of dealing with different chiralities, boundary conditions, and the consideration of the added mass to analyze the dynamic behavior of the doubly-clamped SWBNNT based nanomechanical resonators.

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Figures

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Fig. 1

(a) The h-BN sheet with possible wrapping of zigzag and armchair chiralities and structural models of single walled BNNTs made of a wrapped BN layer: (b) zigzag, (c) armchair, and (d) chiral

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Fig. 2

Doubly-clamped nanotube of length L with the attached mass at the middle of the length

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Fig. 3

Types of bond deformations during in-plane and out-of-plane loading: (a) bond stretching, (b) bond in-plane rotation, (c) bond dihedral rotation, and (d) hinging deformation for the I J K B-N bonds

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Fig. 4

Isometric view of 3-dimensional space frame model of the zigzag (7,0) doubly-clamped SWBNNT

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Fig. 5

Fundamental frequency variation of doubly-clamped SWBNNTs against different aspect ratios: (a) zigzag forms, and (b) armchair forms of SWBNNTs

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Fig. 6

Resonant frequency variation to the attached mass for the zigzag form of doubly-clamped SWBNNTs

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Fig. 7

Resonant frequency shift variation to the attached mass for the zigzag form of doubly-clamped SWBNNTs

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Fig. 8

Resonant frequency variations to the attached mass for the armchair form of doubly-clamped SWBNNTs

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Fig. 9

Resonant frequency shift variations to the attached mass for the armchair form of doubly-clamped SWBNNTs

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Fig. 10

Doubly-clamped SWBNNT based nanomechanical resonator of length L with an attached mass at an intermediate position at distance a from one of the clamped end constraints

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Fig. 11

(a) Different first fundamental modes of vibration, and (b) resonant frequency shift variations against intermediate positions of the attached mass along the length of the nanotube for the doubly-clamped armchair (5,5) form of the SWBNNT of aspect ratio 15

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