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Magnetoelastic Instability of a Long Graphene Nano-Ribbon Carrying Electric Current

Published online by Cambridge University Press:  03 June 2015

R. D. Firouz-Abadi  and
H. Mohammadkhani
R. D. Firouz-Abadi*
Affiliation:
Department of Aerospace Engineering, Sharif University of Technology, P.O.Box 11155-8639, Tehran, Iran Institute for Nanosience and Nanotechnology, Sharif University of Technology, P.O.Box 14588-89694, Tehran, Iran
H. Mohammadkhani*
Affiliation:
Department of Aerospace Engineering, Sharif University of Technology, P.O.Box 11155-8639, Tehran, Iran
*
Corresponding author. Email: firouzabadi@sharif.edu
Email: mohammadkhani@ae.sharif.edu
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Abstract

This paper aims at investigating the resonance frequencies and stability of a long Graphene Nano-Ribbon (GNR) carrying electric current. The governing equation of motion is obtained based on the Euler-Bernoulli beam model along with Hamilton’s principle. The transverse force distribution on the GNR due to the interaction of the electric current with its own magnetic field is determined by the Biot-Savart and Lorentz force laws. Using Galerkin’s method, the governing equation is solved and the effect of current strength and dimensions of the GNR on the stability and resonance frequencies are investigated.

Keywords

82D8037N1574H55Graphene nano-ribbonresonance frequencycurrent carryingHamilton’s principleBiot-SavartLorenz force
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 3 , June 2014 , pp. 299 - 306
Copyright
Copyright © Global-Science Press 2014

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