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A Lumped-Parameter Model for Nonlinear Waves in Graphene
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作者 Hamad Hazim Dongming Wei +1 位作者 mohamed elgindi Yeran Soukiassian 《World Journal of Engineering and Technology》 2015年第2期57-69,共13页
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... 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. 展开更多
关键词 GRAPHENE RESONANCE Nonlinear VIBRATION Phase DIAGRAM FREQUENCY SWEEP
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