A Lumped-Parameter Model for Nonlinear Waves in Graphene

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dc.contributor.authorHazim, Hamad
dc.contributor.authorWei, Dongming
dc.contributor.authorElgindi, Mohamed B. M.
dc.contributor.authorSoukiassian, Yeran
dc.date.accessioned2016-11-23T09:28:40Z
dc.date.available2016-11-23T09:28:40Z
dc.date.issued2015
dc.description.abstractA 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 applicationsru_RU
dc.identifier.citationHamad 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/123456789/1930ru_RU
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/1930
dc.language.isoenru_RU
dc.publisherWorld Journal of Engineering and Technologyru_RU
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectGrapheneru_RU
dc.subjectResonanceru_RU
dc.subjectNonlinear Vibrationru_RU
dc.subjectPhase Diagramru_RU
dc.subjectFrequency Sweepru_RU
dc.titleA Lumped-Parameter Model for Nonlinear Waves in Grapheneru_RU
dc.typeArticleru_RU

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