Nonlinear vibration of a single-walled carbon nanotube embedded in a polymer matrix aroused by interfacial van der Waals forces

2009 ◽  
Vol 106 (11) ◽  
pp. 114309 ◽  
Author(s):  
M. H. Mahdavi ◽  
L. Y. Jiang ◽  
X. Sun
Keyword(s):  
Carbon Nanotube ◽  
Nonlinear Vibration ◽  
Polymer Matrix ◽  
Van Der Waals ◽  
Van Der Waals Forces ◽  
Single Walled Carbon Nanotube ◽  
Single Walled Carbon

Nonlinear vibration properties of a zigzag single-walled carbon nanotube embedded in a polymer matrix

2015 ◽  
Vol 3 (1) ◽  
pp. 29-37 ◽  
Author(s):  
Abderrahmane Besseghier ◽  
Houari Heireche ◽  
Abdelmoumen Anis Bousahla ◽  
Abdelouahed Tounsi ◽  
Abdelnour Benzair
Keyword(s):  
Carbon Nanotube ◽  
Nonlinear Vibration ◽  
Polymer Matrix ◽  
Single Walled Carbon Nanotube ◽  
Single Walled Carbon ◽  
Vibration Properties

scholarly journals Nonlinear Vibration of a Pre-Stressed Water-Filled Single-Walled Carbon Nanotube Using Shell Model

Nanomaterials ◽  
2020 ◽  
Vol 10 (5) ◽  
pp. 974
Author(s):  
Mahmoud Mohamed Selim ◽  
Awad Musa
Keyword(s):  
Carbon Nanotube ◽  
Nonlinear Vibration ◽  
Shell Theory ◽  
Analytical Formula ◽  
Water System ◽  
Nonlinear Frequency ◽  
Nonlinear Parameters ◽  
Lower Mode ◽  
Single Walled Carbon Nanotube ◽  
Single Walled Carbon

This paper is an attempt to study the nonlinear vibration of a pre-stressed single-walled carbon nanotube (SWCNT) with water-filled and simply supported ends. A new analytical formula is obtained for the nonlinear model based on the simplified Donnell’s shell theory. The effects of internal fluid on the coupling vibration of the SWCNT–water system are discussed in detail. Furthermore, the influence of the different nanotube thicknesses and radiuses on the nonlinear vibration frequencies is investigated according to the shell theory. Numerical calculations are done to show the effectiveness of the proposed schemes. The results show that the nonlinear frequency grew with the increasing nonlinear parameters (radius and thickness of nanotube). In addition, it is shown that the influence of the nonlinear parameters is greater at the lower mode in comparison with the higher mode for the same nanotube thickness and radius.

Nonlinear Vibration Analysis of Single-Walled Carbon Nanotube With Shell Model Based on the Nonlocal Elasticity Theory

2016 ◽  
Vol 11 (1) ◽  
Author(s):  
P. Soltani ◽  
J. Saberian ◽  
R. Bahramian
Keyword(s):  
Carbon Nanotube ◽  
Differential Equations ◽  
Nonlinear Vibration ◽  
Nonlocal Elasticity ◽  
Geometrical Nonlinearity ◽  
Nonlocal Parameter ◽  
Nonlocal Elasticity Theory ◽  
Single Walled Carbon Nanotube ◽  
Single Walled Carbon ◽  
Aspect Ratios

In this paper, nonlinear vibration of a single-walled carbon nanotube (SWCNT) with simply supported ends is investigated based on von Karman's geometric nonlinearity and nonlocal shell theory. The SWCNT is designated as an individual shell, and the Donnell's formulations of a cylindrical shell are used to obtain the governing equations. The Galerkin's procedure is used to discretized partial differential equations (PDEs) into the ordinary differential equations (ODEs) of motion, and the method of averaging is applied to obtain an analytical solution of the nonlinear vibration of (10,0), (20,0), and (30,0) zigzag SWCNTs. The effects of the nonlocal parameters, nonlinear parameters, different aspect ratios, and different circumferential wave numbers are investigated. The results of the classical and the nonlocal models are compared with different nonlocal elasticity constants (e0a). It is shown that the nonlocal parameter predicts different resonant frequencies in comparison to the local models. The softening and/or hardening nonlinear behaviors of the CNTs may change against the nonlocal parameters. Hence, considering the geometrical nonlinearity and the nonlocal elasticity effects, the dynamical models of the SWCNTs predict their vibration behaviors accurately and should not be ignored during theoretical modeling.

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