| Graphene has excellent characteristics of mechanics, electricity and thermotics. It has been studied for a long time since it was found in 2004. It can be regard as a new and strategic material, because it has some special characters. The mechanics characters of graphene are always investigated by many researchers. This article studied the elastic properties and vibrational characteristics of graphene by using the way of finite element analysis based on the molecular structural mechanics method.A molecular structural mechanics method has been implemented to investigate the characteristics of single-layer graphenes(SLGS) with defects. By adopting the lumped mass unit to replace carbon atoms, and the beam element with circular cross section to mimic C-C covalent bonds, single-layer graphene is modeled as a space framework.Than finite element software was used to computing and analysis.For the pristine graphene, this article studied the armchair graphene and zigzag graphene, respectively. Furthermore, the graphene with different sizes and different length-width ratio have been investigated. For the defective graphene, different graphenes with vacancy defect, hole and flaw have been studied. For the models above,the elastic properties and vibrational characteristic of graphene have been further studied.The simulation results show that the size and the chirality have obvious influence on the elastic properties of graphene. The chirality almost has no effect on the natural frequency and the vibration mode of single-layer grapheme, while the size has greatinfluences. The influences of defects with different number and location on the natural frequencies are also studied. It is concluded that a certain amount of vacancy defect has a slight influence on the stability of graphene. However, vibration mode is insensitive to the vacancy defect, small hole and flaw, but large holes and flaws can affect the vibration characteristics. |
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