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

Authors

  • Harshad Patel Email Manufacturing Engineering Department, Central Institute of Petrochemicals Engineering & Technology, Ahmedabad, Gujarat, India

DOI:

https://doi.org/10.30564/jmer.v4i2.3831
Received: 13 October 2021 | Published Online: 18 November 2021

Abstract

Graphene has remarkable strength, such as yield strength and elastic
constant. The dynamic behaviour of graphene sheet is affected by
geometrical variation in atomic arrangement. This paper introduced
graphene with armchair atomic structure for estimating fundamental natural
frequencies. The presented analysis can be useful for the possible high
frequency nanomechanical resonator systems. The analytical formulation,
based on classical plate theory and continuum solid modelling based finite
element method have been performed for estimation of fundamental natural
frequencies of single layer graphene sheet (SGLS) with different boundary
conditions. The free edge and clamped edge boundary conditions have been
considered. For simplifying analytical formulations, Blevins approach for
dynamic solution has been adopted and for validating analytical results.
The finite element analysis of SLGS has been performed using ANSYS
software. The effect of variation in geometrical parameters in terms of
width and length of SLGS has been analysed for realization of ultra-high
frequency based nanomechanical resonator systems

Keywords:

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

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2021 Vol.4 No.2

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Article

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Copyright © 2021 Harshad Patel

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