Transverse vibrations of double-walled carbon nanotubes under compressive axial load

2005 ◽  
Vol 340 (1-4) ◽  
pp. 258-266 ◽  
Author(s):  
Yongqiang Zhang ◽  
Guirong Liu ◽  
Xu Han
Keyword(s):  
Carbon Nanotubes ◽  
Axial Load ◽  
Transverse Vibrations ◽  
Compressive Axial Load ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

scholarly journals Influence of the nonlocal parameter on the transverse vibration of double-walled carbon nanotubes

2015 ◽  
Vol 24 (3-4) ◽  
pp. 79-90
Author(s):  
Fernanda de Borbón ◽  
Daniel Ambrosini
Keyword(s):  
Carbon Nanotubes ◽  
Natural Frequencies ◽  
Nonlocal Parameter ◽  
Elastic Stiffness ◽  
Beam Model ◽  
Transverse Vibrations ◽  
Proposed Model ◽  
Cubic Polynomials ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

AbstractA high-order nonlocal continuum beam model is proposed, which can be applied to study the transverse vibrations of double-walled carbon nanotubes (DWCNTs), including those that could have initial deformations due to defects or external actions. A beam element is developed adopting Hermite cubic polynomials as shape functions, and mass and elastic stiffness matrix are presented. The influence of the nonlocal parameter on the vibrational properties of DWCNTs is studied. Using the proposed model, it was found that the nonlocal parameter has a strong influence on the natural frequencies.

Transverse vibration of short carbon nanotubes using cylindrical shell and beam models

2009 ◽  
Vol 224 (3) ◽  
pp. 745-756 ◽  
Author(s):  
A Ghorbanpourarani ◽  
M Mohammadimehr ◽  
A Arefmanesh ◽  
A Ghasemi
Keyword(s):  
Carbon Nanotubes ◽  
Shell Model ◽  
Axial Load ◽  
Local Theory ◽  
Beam Model ◽  
Amplitude Coefficient ◽  
Classical Models ◽  
Non Local ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

The transverse vibrations of single- and double-walled carbon nanotubes are investigated under axial load by applying the Euler—Bernoulli and Timoshenko beam models and the Donnell shell model. It is concluded that the Euler—Bernoulli beam model and the Donnell shell model predictions have the lowest and highest accuracies, respectively. In order to predict the vibration behaviour of the carbon nanotube more accurately, the current classical models are modified using the non-local theory. The natural frequencies, amplitude coefficient, critical axial load, and strain are obtained for the simply supported boundary conditions.

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