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

Harshad Patel

doi:10.30564/jmer.v4i2.3831

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

Harshad Patel (Manufacturing Engineering Department, Central Institute of Petrochemicals Engineering & Technology, Ahmedabad, Gujarat, India)

Article ID: 3831

DOI: https://doi.org/10.30564/jmer.v4i2.3831

Abstract

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

Keywords

Single layer graphene sheet (SLGS) ;Size variation ;Fundamental natural frequency ;Finite element analysis

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