A Lumped-Parameter Model for Nonlinear Waves in Graphene
| dc.contributor.author | Wei, Dongming | |
| dc.contributor.author | Hazim, Hamad | |
| dc.contributor.author | Elgindi, Mohamed | |
| dc.contributor.author | Soukiassian, Yeran | |
| dc.date.accessioned | 2016-02-08T10:46:42Z | |
| dc.date.available | 2016-02-08T10:46:42Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | A lumped-parameter nonlinear spring-mass model which takes into account the third-order elastic sti ness constant is considered for mod- eling the free and forced axial vibrations of a graphene sheet with one xed end and one free end with a mass attached. It 's demonstrated through this simple model that, in free vibration, within certain initial energy level and depending upon its length and the nonlinear elas- tic constants, there exist bounded periodic solutions which are non- sinusoidal, and that for each xed 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 cal- culated analytically and numerically. Energy sweep is also performed for resonance applications. | ru_RU |
| dc.identifier.citation | Hamad Hazim, Dongming Wei, Mohamed Elgindi, Yeran Soukiassian; 2015; A Lumped-Parameter Model for Nonlinear Waves in Graphene | ru_RU |
| dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/1196 | |
| dc.language.iso | en | 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 | Research Subject Categories::MATHEMATICS | 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 |