Nonlinear Vibration Analysis of Single-Walled Carbon Nanotube Conveying Fluid in Slip Boundary Conditions Using Variational Iterative Method

In this paper, nonlinear dynamic behaviour of the carbon nanotube conveying fluid in slip boundary conditions is studied using the variation iteration method. The developed solutions are used to investigate the effects of various parameters on the nonlinear vibration of the nanotube. The results ind...

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Main Author: Gbeminiyi Sobamowo
Format: Article
Language:English
Published: Shahid Chamran University of Ahvaz 2016-12-01
Series:Journal of Applied and Computational Mechanics
Subjects:
Online Access:http://jacm.scu.ac.ir/article_12527_200c1a9a53c5b42e001539e2a4965665.pdf
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author Gbeminiyi Sobamowo
author_facet Gbeminiyi Sobamowo
author_sort Gbeminiyi Sobamowo
collection DOAJ
description In this paper, nonlinear dynamic behaviour of the carbon nanotube conveying fluid in slip boundary conditions is studied using the variation iteration method. The developed solutions are used to investigate the effects of various parameters on the nonlinear vibration of the nanotube. The results indicate that an increase in the slip parameter leads to a decrease in the frequency of vibration and the critical velocity, while the natural frequency and the critical fluid velocity increase as the stretching effect increases. Also, as the nonlocal parameter increases, the natural frequency and the critical velocity decreases. The analytical solutions help to have better insights and understand the relationship between the physical quantities of the problem.
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spelling doaj.art-477c28be865c4f00b778f4efee3924a52022-12-22T02:18:49ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362016-12-012420822110.22055/jacm.2016.1252712527Nonlinear Vibration Analysis of Single-Walled Carbon Nanotube Conveying Fluid in Slip Boundary Conditions Using Variational Iterative MethodGbeminiyi Sobamowo0Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, NigeriaIn this paper, nonlinear dynamic behaviour of the carbon nanotube conveying fluid in slip boundary conditions is studied using the variation iteration method. The developed solutions are used to investigate the effects of various parameters on the nonlinear vibration of the nanotube. The results indicate that an increase in the slip parameter leads to a decrease in the frequency of vibration and the critical velocity, while the natural frequency and the critical fluid velocity increase as the stretching effect increases. Also, as the nonlocal parameter increases, the natural frequency and the critical velocity decreases. The analytical solutions help to have better insights and understand the relationship between the physical quantities of the problem.http://jacm.scu.ac.ir/article_12527_200c1a9a53c5b42e001539e2a4965665.pdfNon-linear VibrationSlip boundary ConditionFluid-conveying NanotubeVariational iteration method
spellingShingle Gbeminiyi Sobamowo
Nonlinear Vibration Analysis of Single-Walled Carbon Nanotube Conveying Fluid in Slip Boundary Conditions Using Variational Iterative Method
Journal of Applied and Computational Mechanics
Non-linear Vibration
Slip boundary Condition
Fluid-conveying Nanotube
Variational iteration method
title Nonlinear Vibration Analysis of Single-Walled Carbon Nanotube Conveying Fluid in Slip Boundary Conditions Using Variational Iterative Method
title_full Nonlinear Vibration Analysis of Single-Walled Carbon Nanotube Conveying Fluid in Slip Boundary Conditions Using Variational Iterative Method
title_fullStr Nonlinear Vibration Analysis of Single-Walled Carbon Nanotube Conveying Fluid in Slip Boundary Conditions Using Variational Iterative Method
title_full_unstemmed Nonlinear Vibration Analysis of Single-Walled Carbon Nanotube Conveying Fluid in Slip Boundary Conditions Using Variational Iterative Method
title_short Nonlinear Vibration Analysis of Single-Walled Carbon Nanotube Conveying Fluid in Slip Boundary Conditions Using Variational Iterative Method
title_sort nonlinear vibration analysis of single walled carbon nanotube conveying fluid in slip boundary conditions using variational iterative method
topic Non-linear Vibration
Slip boundary Condition
Fluid-conveying Nanotube
Variational iteration method
url http://jacm.scu.ac.ir/article_12527_200c1a9a53c5b42e001539e2a4965665.pdf
work_keys_str_mv AT gbeminiyisobamowo nonlinearvibrationanalysisofsinglewalledcarbonnanotubeconveyingfluidinslipboundaryconditionsusingvariationaliterativemethod