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A Lumped-Parameter Model for Nonlinear Waves in Graphene

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dc.contributor.author Hazim, Hamad
dc.contributor.author Wei, Dongming
dc.contributor.author Elgindi, Mohamed B. M.
dc.contributor.author Soukiassian, Yeran
dc.date.accessioned 2016-11-23T09:28:40Z
dc.date.available 2016-11-23T09:28:40Z
dc.date.issued 2015
dc.identifier.citation Hamad Hazim, Dongming Wei, Mohamed Elgindi, Yeran Soukiassian; 2015; A Lumped-Parameter Model for Nonlinear Waves in Graphene; World Journal of Engineering and Technology; http://nur.nu.edu.kz/handle/123456789/1930 ru_RU
dc.identifier.uri http://nur.nu.edu.kz/handle/123456789/1930
dc.description.abstract A lumped-parameter nonlinear spring-mass model which takes into account the third-order elastic stiffness constant is considered for modeling the free and forced axial vibrations of a graphene sheet with one fixed end and one free end with a mass attached. It is demonstrated through this simple model that, in free vibration, within certain initial energy level and depending upon its length and the nonlinear elastic constants, that there exist bounded periodic solutions which are non-sinusoidal, and that for each fixed energy level, there is a bifurcation point depending upon material constants, beyond which the periodic solutions disappear. The amplitude, frequency, and the corresponding wave solutions for both free and forced harmonic vibrations are calculated analytically and numerically. Energy sweep is also performed for resonance applications ru_RU
dc.language.iso en ru_RU
dc.publisher World Journal of Engineering and Technology ru_RU
dc.rights Attribution-NonCommercial-ShareAlike 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/us/ *
dc.subject Graphene ru_RU
dc.subject Resonance ru_RU
dc.subject Nonlinear Vibration ru_RU
dc.subject Phase Diagram ru_RU
dc.subject Frequency Sweep ru_RU
dc.title A Lumped-Parameter Model for Nonlinear Waves in Graphene ru_RU
dc.type Article ru_RU

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