Magnetoelastic Instability of a Long Graphene Nano-Ribbon Carrying Electric Current |
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| Authors: | R. D. Firouz-Abadi & H. Mohammadkhani |
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| Abstract: | This paper aims at investigating the resonance frequencies and stability of a longGraphene Nano-Ribbon (GNR) carrying electric current. The governing equation ofmotion is obtained based on the Euler-Bernoulli beam model along with Hamilton'sprinciple. The transverse force distribution on the GNR due to the interaction ofthe electric current with its own magnetic field is determined by the Biot-Savartand Lorentz force laws.Using Galerkin's method, the governing equation is solved and the effect of currentstrength and dimensions of the GNR on the stability and resonance frequencies are investigated. |
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| Keywords: | Graphene nano-ribbon resonance frequency current carrying Hamilton's principle Biot-Savart Lorenz force. |
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