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

Document Type : Research Paper

Author
Gbeminiyi Sobamowo
Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria
10.22055/jacm.2016.12527
Abstract
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.
Keywords
Non-linear vibration
Slip boundary condition
Fluid-conveying Nanotube
Variational iteration method
Subjects
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Journal of Applied and Computational Mechanics
Volume 2, Issue 4
Autumn 2016
Pages 208-221