NDLI: Application of Variational Iteration Method in Nonlinear Free Vibration Analysis of Multi-Layered Nano-Scale Graphene Sheets

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Sadri, Mehran Younesian, Davood Esmailzadeh, Ebrahim
Copyright Year	2014
Abstract	The nonlinear free vibration of multi-layered nano-scale graphene sheets is studied. Using the von Kármán and nonlocal continuum theories, large amplitude of vibration is included in the analysis as well as the size effect of nano-structure. The SSSS boundary condition is considered for the multi-layered graphene sheet and coupled nonlinear differential equations of motion of layers are taken into account based on Galerkin method. Variational iteration method (VIM) is employed as the solution procedure and nonlinear natural frequencies of the system are analytically determined. Two different geometries are taken into account and the analytical results are compared with frequencies obtained by numerical method. Finally, influence of geometrical parameters and amplitude of vibration on nonlinear frequencies of the system is examined.
File Format	PDF
ISBN	9780791846476
DOI	10.1115/IMECE2014-38957
Volume Number	Volume 4A: Dynamics, Vibration, and Control
Conference Proceedings	ASME 2014 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2014-11-14
Publisher Place	Montreal, Quebec, Canada
Access Restriction	Subscribed
Subject Keyword	Vibration Numerical analysis Free vibrations Graphene Nonlinear differential equations Size effect Nanoscale phenomena Boundary-value problems Galerkin method Nanostructures
Content Type	Text
Resource Type	Article

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