Volume 6, Issue 3
Magnetoelastic Instability of a Long Graphene Nano-Ribbon Carrying Electric Current

R. D. Firouz-Abadi & H. Mohammadkhan

Adv. Appl. Math. Mech., 6 (2014), pp. 299-306.

Published online: 2014-06

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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

Graphene nano-ribbon resonance frequency current carrying Hamilton's principle Biot-Savart Lorenz force

  • AMS Subject Headings

82D80 37N15 74H55

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-6-299, author = {R. D. Firouz-Abadi and H. Mohammadkhan}, 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 = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m119}, url = {http://global-sci.org/intro/article_detail/aamm/20.html} }
TY - JOUR T1 - Magnetoelastic Instability of a Long Graphene Nano-Ribbon Carrying Electric Current AU - R. D. Firouz-Abadi & H. Mohammadkhan JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 299 EP - 306 PY - 2014 DA - 2014/06 SN - 6 DO - http://dor.org/10.4208/aamm.2013.m119 UR - https://global-sci.org/intro/aamm/20.html KW - Graphene nano-ribbon KW - resonance frequency KW - current carrying KW - Hamilton's principle KW - Biot-Savart KW - Lorenz force AB -

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.

R. D. Firouz-Abadi & H. Mohammadkhan. (1970). Magnetoelastic Instability of a Long Graphene Nano-Ribbon Carrying Electric Current. Advances in Applied Mathematics and Mechanics. 6 (3). 299-306. doi:10.4208/aamm.2013.m119
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