Nonlinear Vibration Analysis of Nonlocal Elastic Multi-Walled Carbon Nanotubes

2012 ◽  
Vol 14 (1) ◽  
pp. 269-273 ◽  
Author(s):  
Yong-Lin Kuo
Keyword(s):  
Carbon Nanotubes ◽  
Nonlinear Vibration ◽  
Vibration Analysis ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

Vibration analysis of multi-walled carbon nanotubes embedded in elastic medium

2014 ◽  
Vol 8 (2) ◽  
pp. 151-159 ◽  
Author(s):  
Pattabhi R. Budarapu ◽  
Sudhir Sastry Yb ◽  
Brahmanandam Javvaji ◽  
D. Roy Mahapatra
Keyword(s):  
Carbon Nanotubes ◽  
Elastic Medium ◽  
Vibration Analysis ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

Numerical investigation of nonlinear vibration analysis for triple-walled carbon nanotubes conveying viscous fluid

2019 ◽  
Vol 30 (4) ◽  
pp. 1689-1723 ◽  
Author(s):  
Bijan Mohamadi ◽  
S. Ali Eftekhari ◽  
Davood Toghraie
Keyword(s):  
Carbon Nanotubes ◽  
Aspect Ratio ◽  
Viscous Fluid ◽  
Boundary Conditions ◽  
Nonlinear Vibration ◽  
Vibration Analysis ◽  
Couple Stress ◽  
Characteristic Length ◽  
Content Type ◽  
Walled Carbon Nanotubes

Purpose The purpose of this paper is to investigate nonlinear vibrations of triple-walled carbon nanotubes buried within Pasternak foundation carrying viscous fluids. Design/methodology/approach Considering the geometry of nanotubes, the governing equations were initially derived using Timoshenko and modified couple stress theories and by taking into account Von-Karman expressions. Then, by determining boundary conditions, type of fluid motion, Knudsen number and, ultimately, fluid viscosity, the principal equation was solved using differential quadrature method, and linear and nonlinear nanotube frequencies were calculated. Findings The results indicated that natural frequency is decreased as the fluid velocity and aspect ratio increase. Moreover, as the aspect ratio is increased, the results converge for simple and fixed support boundary conditions, and the ratio of nonlinear to linear frequencies approaches. Natural frequency of vibrations and critical velocity increase as Pasternak coefficient and characteristic length increase. As indicated by the results, by assuming a non-uniform velocity for the fluid and a slip boundary condition at Kn = 0.05, reductions of 10.714 and 28.714% were observed in the critical velocity, respectively. Moreover, the ratio of nonlinear to linear base frequencies decreases as the Winkler and Pasternak coefficients, maximum deflection of the first wall and characteristic length are increased in couple stress theory. Originality/value This paper is a numerical investigation of nonlinear vibration analysis for triple-walled carbon nanotubes conveying viscous fluid.

Investigation of Vibration Properties of Multi-Walled Carbon Nanotubes

2011 ◽  
Vol 117-119 ◽  
pp. 1254-1259
Author(s):  
Mei Ling Tian ◽  
Jin Bao Wang ◽  
Xiao Qiao He
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Shell Model ◽  
Vibration Analysis ◽  
Natural Frequencies ◽  
Interlayer Spacing ◽  
Vibration Properties ◽  
Multi Walled Carbon Nanotube ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

Based on an explicit van der Waals (vdW) model, which can reproduce the interaction between any two layers of multi-walled carbon nanotube (MWCNT) and is dependent on the change of interlayer spacing and on the tube radii, the vibration analysis of multi-walled carbon nanotubes is carried out by using of the multi-layered Flugge shells model. The natural frequencies are analyzed in detail for with various radii and number of tubes. Furthermore, the natural frequencies of double-walled carbon nanotube with the innermost radii of 0.6 nm predicted based on the Flugge shell model are well compared with those from the Donnell shell one. The present investigation will be meaningful for the design and application of multi-walled carbon nanotubes as nano- resonators.

Multi-walled Carbon Nanotubes Penetrate into Plant Cells and Affect the Growth of Onobrychis arenaria Seedlings

Acta Naturae ◽  
2011 ◽  
Vol 3 (1) ◽  
pp. 99-106 ◽  
Author(s):  
E A Smirnova ◽  
A A Gusev ◽  
O N Zaitseva ◽  
E M Lazareva ◽  
G E Onishchenko ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Plant Cells ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes
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