Nonlinear vibrations of multiwalled carbon nanotubes under various boundary conditions
type: Item
instance of: scholarly article
title: Nonlinear vibrations of multiwalled carbon nanotubes under various boundary conditions
zbMATH Open document ID: 1235.82108
DOI: 10.1155/2011/343576
author: Hossein Aminikhah
author: Milad Hemmatnezhad
published in: International Journal of Differential Equations
publication date: 2012-03-08T00:00:00Z
review text: Summary: The present work deals with applying the homotopy perturbation method to the problem of the nonlinear oscillations of multiwalled carbon nanotubes embedded in an elastic medium under various boundary conditions. A multiple-beam model is utilized in which the governing equations of each layer are coupled with those of its adjacent ones via the van der Waals interlayer forces. The amplitude-frequency curves for large-amplitude vibrations of single-walled, double-walled and triple-walled carbon nanotubes are obtained. The influences of some commonly used boundary conditions, changes in the material constant of the surrounding elastic medium and variations of the nanotubes geometrical parameters on the vibration characteristics of multiwalled carbon nanotubes are discussed. The comparison of the generated results with those from the open literature illustrates that the solutions obtained are of very high accuracy and clarifies the capability and the simplicity of the present method. It is worthwhile to say that the results generated are new and can be served as a benchmark for future works.
Mathematics Subject Classification ID: 82D80
Mathematics Subject Classification ID: 35Q82
zbMATH DE Number: 6013183
zbMATH Keywords: Galerkin method
zbMATH Keywords: homotopy perturbation method
zbMATH Keywords: carbon nanotubes
zbMATH Keywords: van der Waals forces
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/343576
OpenAlex ID: W2032404168
Wikidata QID: Q58686756
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description: scientific article; zbMATH DE number 6013183