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 83
- Downloads 0
Ritz Method Application to Bending, Buckling and Vibration Analyses of Timoshenko Beams via Nonlocal Elasticity
Bending, buckling and vibration behaviors of nonlocal Timoshenko beams are investigated in this research using a variational approach. At first, the governing equations of the nonlocal Timoshenko beams are obtained, and...
Linear dynamic response of nanobeams accounting for higher gradient effects
Linear dynamic response of simply supported nanobeams subjected to a variable axial force is assessed by Galerkin numerical approach. Constitutive behavior is described by three functional forms of elastic energy densiti...
Saint-Venant torsion of non-homogeneous anisotropic bars
The BEM is applied to the solution of the torsion problem of non-homogeneous anisotropic non-circular prismatic bars. The problem is formulated in terms of the warping function. This formulation leads to a second order p...
Conjugate and directional chaos control methods for reliability analysis of CNT–reinforced nanocomposite beams under buckling forces; a comparative study
The efficiency and robustness of reliability methods are two important factors in first order reliability method (FORM). The conjugate choice control (CCC) and directional chaos control method (DCC) were developed to imp...
Periodic Solutions of the Duffing Harmonic Oscillator by He's Energy Balance Method
Duffing harmonic oscillator is a common model for nonlinear phenomena in science and engineering. This paper presents He´s Energy Balance Method (EBM) for solving nonlinear differential equations. Two strong nonlinear ca...