@Article{AAMM-6-299,
author = {Firouz-Abadi , R. D. and Mohammadkhani , H.},
title = {Magnetoelastic Instability of a Long Graphene Nano-Ribbon Carrying Electric Current},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2014},
volume = {6},
number = {3},
pages = {299--306},
abstract = {<p style="text-align: justify;">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&#39;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&#39;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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2013.m119},
url = {http://global-sci.org/intro/article_detail/aamm/20.html}
}