Nonlinear vibration analysis of single-walled carbon nanotube conveying fluid with slip boundary conditions using variational iterative method
Journal Title: Journal of Applied and Computational Mechanics - Year 2016, Vol 2, Issue 4
Abstract
In this paper, nonlinear dynamic behaviours of carbon nanotube conveying fluidwith slip boundary conditions is studied using variation iteration method. The developed solutions are used to investigate the effects of various parameters on the nonlinear vibration of the nanotube. From the result, it is observed that increase in the slip parameter leads to decrease in the frequency of vibration and the critical velocity while natural frequency and the critical fluid velocity increase as the in stretching effect increases. As the flow velocity increases, the fundamental frequency is decreased and as flow velocity reaches the critical velocity, both the real and imaginary parts of the flexural frequency are equal to zero. Also, increasing the nonlocal parameter, the natural frequency and the critical velocity decreased. The analytical solutions can be used as starting points for better understanding of the relationship between the physical quantities of the problem.
Authors and Affiliations
Gbeminiyi M Sobamowo
Keywords
Related Articles
- EP ID EP178294
- DOI 10.22055/jacm.2016.12527
- Views 58
- Downloads 0
Deformation Characteristics of Composite Structures
Composites provide design flexibility because many of them can be moulded into complex shapes. Carbon fibre-reinforced epoxy composites exhibit excellent fatigue tolerance with high specific strength and stiffness. Thes...
Jeffery Hamel Flow of a non-Newtonian Fluid
This paper presents the Jeffery Hamel flow of a non-Newtonian fluid namely Casson fluid. Suitable similarity transform is applied to reduce governing nonlinear partial differential equations to a much simpler ordinary di...
Free Vibration of Annular Plates by Discrete Singular Convolution and Differential Quadrature Methods
Plates and shells are the significant structural components for many engineering and industrial applications. In this study, free vibration analysis of annular plates is investigated. For this, two different numerical me...
Nonlinear vibration analysis of single-walled carbon nanotube conveying fluid with slip boundary conditions using variational iterative method
In this paper, nonlinear dynamic behaviours of carbon nanotube conveying fluidwith slip boundary conditions is studied using variation iteration method. The developed solutions are used to investigate the effects of vari...
Investigation of the vdW Force-Induced Instability in Nano-scale Actuators Fabricated form Cylindrical Nanowires
The presence of van der Waals (vdW) force can lead to mechanical instability in freestanding nano-scale actuators. Most of the previous researches in this area have exclusively focused on modeling the instability in actu...