Vibrational analysis of single-layered graphene sheets
- 4 February 2008
- journal article
- Published by IOP Publishing in Nanotechnology
- Vol. 19 (8), 085702
- https://doi.org/10.1088/0957-4484/19/8/085702
Abstract
A molecular structural mechanics method has been implemented to investigate the vibrational behavior of single-layered graphene sheets. By adopting this approach, mode shapes and natural frequencies are obtained. Vibrational analysis is performed with different chirality and boundary conditions. Numerical results from the atomistic modeling are employed to develop predictive equations via a statistical nonlinear regression model. With the proposed equations, fundamental frequencies of single-layered graphene sheets with considered boundary conditions can be predicted within 3% difference with respect to the atomistic simulation.Keywords
This publication has 25 references indexed in Scilit:
- The structure of suspended graphene sheetsNature, 2007
- Predicting nanovibration of multi-layered graphene sheets embedded in an elastic matrixActa Materialia, 2006
- Controlling the Electronic Structure of Bilayer GrapheneScience, 2006
- Electronic Confinement and Coherence in Patterned Epitaxial GrapheneScience, 2006
- Two-dimensional gas of massless Dirac fermions in grapheneNature, 2005
- Experimental observation of the quantum Hall effect and Berry's phase in grapheneNature, 2005
- An analytical approach to determination of bending modulus of a multi-layered graphene sheetThin Solid Films, 2005
- Nanoscale vibrational analysis of a multi-layered graphene sheet embedded in an elastic mediumComposites Science and Technology, 2005
- Electric Field Modulation of Galvanomagnetic Properties of Mesoscopic GraphitePhysical Review Letters, 2005
- Helical microtubules of graphitic carbonNature, 1991