Variational principles for multi-walled carbon nanotubes undergoing non-linear vibrations by semi-inverse method

2009 ◽  
Vol 4 (4) ◽  
pp. 198-203 ◽  
Author(s):  
S. Adali
Keyword(s):  
Carbon Nanotubes ◽  
Inverse Method ◽  
Variational Principles ◽  
Non Linear ◽  
Linear Vibrations ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

Variational Principles for the Stability Analysis of Multi-Walled Carbon Nanotubes Based on a Nonlocal Elastic Shell Model

2010 ◽  
Author(s):  
Mohsen Asghari ◽  
Jacob Rafati
Keyword(s):  
Carbon Nanotubes ◽  
Stability Analysis ◽  
Inverse Method ◽  
Variational Principles ◽  
Elastic Shell ◽  
Multi Walled Carbon Nanotubes ◽  
Natural Boundary Conditions ◽  
The Stability ◽  
Walled Carbon Nanotubes ◽  
Continuum Theories

The nonlocal continuum theories are capable to reflect the small length characteristic of nanostructures. In this work, variational principles are presented for the stability analysis of multi-walled carbon nanotubes under various mechanical loadings based on the nonlocal elastic Donnell’s shell by the semi-inverse method. In this manner, a set of proper essential and natural boundary conditions for each layer of the multi-walled nanotube is derived.

scholarly journals Multiphoton luminescence imaging of chemically functionalized multi-walled carbon nanotubes in cells and solid tumors

2015 ◽  
Vol 51 (45) ◽  
pp. 9366-9369 ◽  
Author(s):  
N. Rubio ◽  
L. M. Hirvonen ◽  
E. Z. Chong ◽  
J. T. W. Wang ◽  
M. Bourgognon ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Solid Tumors ◽  
Photoluminescence Properties ◽  
Luminescence Imaging ◽  
Non Linear ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes ◽  
Potential Use ◽  
In Cells

A simplified scheme showing the non-linear photoluminescence properties of f-MWNTs and their potential use as imaging tools in cells and tumors.

Non-Linear Regression Applied to the Sorption of Bisphenol A on Multi-Walled Carbon Nanotubes in Aqueous Systems

2021 ◽  
Vol 21 (4) ◽  
pp. 2427-2434
Author(s):  
Raluca Madalina Senin ◽  
Virgil Badescu ◽  
Ileana Radulescu ◽  
Marian Romeo Calin ◽  
Ion Ion ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Regression Analysis ◽  
Linear Regression ◽  
Bisphenol A ◽  
Natural Waters ◽  
Linear Regression Analysis ◽  
Error Distribution ◽  
Non Linear ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

In the present study, equilibrium parameters of adsorption of bisphenol A (BPA) on multi-walled carbon nanotubes were determined using non-linear Langmuir and Freundlich sorption models and regression methods were applied. In the calculations, some error functions were applied in the non-linear regression analysis, the best fit between the data being obtained, for a minimum error distribution. Non-linear regression analysis and the error distribution suggested Langmuir isotherm model the best one for estimation of equilibrium parameters. The results will be further used in environmental applications for BPA removal from natural waters, taking into account the spontaneous character of the adsorption process, the endocrine disrupting effect of BPA and the reduced toxicological effects of the impregnated sorbents.

Linear and non-linear optical transmission from multi-walled carbon nanotubes

2005 ◽  
Vol 40 (16) ◽  
pp. 4185-4188 ◽  
Author(s):  
A. Pratap ◽  
A. L. Shah ◽  
A. R. Singh ◽  
S. Pal ◽  
R. K. Tyagi ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Optical Transmission ◽  
Non Linear ◽  
Multi Walled Carbon Nanotubes ◽  
Linear Optical ◽  
Walled Carbon Nanotubes

Variational Formulation of Vibrations of Multi-Walled Carbon Nanotubes With Geometric and Physical Nonlinearities

2009 ◽  
Author(s):  
Sarp Adali
Keyword(s):  
Carbon Nanotubes ◽  
Boundary Conditions ◽  
Variational Formulation ◽  
Variational Principles ◽  
Beam Model ◽  
Nonlinear Force ◽  
Multi Walled Carbon Nanotubes ◽  
Geometric Boundary ◽  
Walled Carbon Nanotubes ◽  
Euler Bernoulli Beam

Variational principles are derived for multi-walled carbon nanotubes (CNT) undergoing nonlinear vibrations. Two sources of nonlinearity are considered in the continuum modeling of CNTs with the Euler-Bernoulli beam model describing the dynamics of the CNTs. One source is the geometric nonlinearity which may arise as a result of large deflections. The second source is due to van der Waals forces between the nanotubes which can be modeled as a nonlinear force to improve the accuracy of the physical model. After deriving the applicable variational principle, Hamilton’s principle is given. Natural and geometric boundary conditions are derived using the variational formulation of the problem. Several approximate and computational methods of solution such as Rayleigh-Ritz and finite elements employ the variational formulation of the problem and as such these principles are instrumental in obtaining the solutions of vibration problems under complicated boundary conditions.

scholarly journals Nonlocal Anisotropic Shell Model of Linear Vibrations of Multi-walled Carbon Nanotubes

2020 ◽  
Vol 23 (1) ◽  
pp. 14-26
Author(s):  
Kostiantyn V. Avramov ◽  
◽  
Balzhan N. Kabylbekova ◽  
Kazira K. Seitkazenova ◽  
Darkhan S. Myrzaliyev ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Shell Model ◽  
Anisotropic Shell ◽  
Linear Vibrations ◽  
Multi Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

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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