scholarly journals Geometrical Dimensional Effect on Natural Frequency of Single Layer Graphene in Armchair Configuration

2021 ◽  
Vol 4 (2) ◽  
Author(s):  
Harshad Patel
Keyword(s):  
Graphene Sheet ◽  
Plate Theory ◽  
Single Layer ◽  
Free Edge ◽  
Single Layer Graphene ◽  
Geometrical Parameters ◽  
Classical Plate Theory ◽  
Element Analysis ◽  
Nanomechanical Resonator ◽  
Layer Graphene

Graphene has remarkable strength, such as yield strength and elasticconstant. The dynamic behaviour of graphene sheet is affected bygeometrical variation in atomic arrangement. This paper introducedgraphene with armchair atomic structure for estimating fundamental naturalfrequencies. The presented analysis can be useful for the possible highfrequency nanomechanical resonator systems. The analytical formulation,based on classical plate theory and continuum solid modelling based finiteelement method have been performed for estimation of fundamental naturalfrequencies of single layer graphene sheet (SGLS) with different boundaryconditions. The free edge and clamped edge boundary conditions have beenconsidered. For simplifying analytical formulations, Blevins approach fordynamic solution has been adopted and for validating analytical results.The finite element analysis of SLGS has been performed using ANSYSsoftware. The effect of variation in geometrical parameters in terms ofwidth and length of SLGS has been analysed for realization of ultra-highfrequency based nanomechanical resonator systems

scholarly journals NEMS Resonators for Detection of Chemical Warfare Agents Based on Graphene Sheet

2019 ◽  
Vol 2019 ◽  
pp. 1-23
Author(s):  
Nikola Anđelić ◽  
Zlatan Car ◽  
Marko Čanađija
Keyword(s):  
Graphene Sheet ◽  
Plate Theory ◽  
Chemical Warfare Agents ◽  
Chemical Warfare ◽  
Single Layer Graphene ◽  
Mode Shapes ◽  
Graphene Sheets ◽  
Classical Plate Theory ◽  
Layer Graphene ◽  
Warfare Agents

Graphene sheets are the basis of nanoelectromechanical (NEMS) mass resonators that are in recent years experimentally used for detection of specific gas molecules in air. The aim of this paper is to theoretically investigate the possibility of application of graphene sheets in detection of Chemical Warfare Agents (CWA’s). By application of the nonlocal theory of elasticity and classical plate theory, equations that describe natural vibrations of the simply supported single-layer graphene sheet (SLGS) and double-layer graphene sheet (DLGS) were derived. In order to detect attached CWA molecule, the frequency shift method was applied. The results indicate that the proposed methodology could be successfully implemented in order to detect an attached CWA molecule. However, only specific mode shapes could be employed for such detection.

Free Vibration of Single Layer Graphene Sheets: Lattice Structure Versus Continuum Plate Theories

2011 ◽  
Vol 2 (3) ◽  
Author(s):  
S. Arghavan ◽  
A. V. Singh
Keyword(s):  
Graphene Sheet ◽  
Lattice Structure ◽  
Plate Theory ◽  
Single Layer ◽  
Torsional Stiffness ◽  
Single Layer Graphene ◽  
Mode Shapes ◽  
Graphene Sheets ◽  
Layer Graphene ◽  
Young’S Moduli

Prospect of applications of graphene sheets in composites and other advanced materials have drawn attention from a broad spectrum of research fields. This paper deals with the methods to find mechanical properties of such nanoscale structures. First, the lattice structure method with the Poisson’s ratio of 0.16 and the thickness of 3.4 Å is used to obtain the Young’s moduli for the in-plane and out-of-plane deformation states. This method has the accuracy of molecular dynamics simulations and efficiency of the finite element method. The graphene sheet is modeled as a plane grid of carbon atoms taken as the nodal points, each of which carries the mass of the carbon atom and is assigned as a six degrees of freedom. The covalent bond between two adjacent carbon atoms is treated as an extremely stiff frame element with all three axial, bending, and torsional stiffness components. Subsequently, the computed Young’s moduli, approximately 0.11 TPa for bending and 1.04 TPa for the in-plane condition, are used for studying the vibrational behaviors of graphene sheets by the continuum plate theory. The natural frequencies and corresponding mode shapes of various shaped single layer graphene sheet ), such as rectangular, skewed, and circular, are computed by the two methods which are found to yield very close results. Results of the well-established continuum plate theory are very consistent with the lattice structure method, which is based on accurate interatomic forces.

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