TY - JOUR
T1 - Magnetoelastic Instability of a Long Graphene Nano-Ribbon Carrying Electric Current
AU - Firouz-Abadi , R. D.
AU - Mohammadkhani , H.
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 299
EP - 306
PY - 2014
DA - 2014/06
SN - 6
DO - http://doi.org/10.4208/aamm.2013.m119
UR - https://global-sci.org/intro/article_detail/aamm/20.html
KW - Graphene nano-ribbon, resonance frequency, current carrying, Hamilton's principle,
Biot-Savart, Lorenz force.
AB - <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>