Size-dependent nonlinear vibration analysis of carbon nanotubes conveying multiphase flow

2016 ◽  
Vol 115-116 ◽  
pp. 723-735 ◽  
Author(s):  
Saeed Lotfan ◽  
Reza Fathi ◽  
Mir Mohammad Ettefagh
Keyword(s):  
Carbon Nanotubes ◽  
Multiphase Flow ◽  
Nonlinear Vibration ◽  
Vibration Analysis ◽  
Size Dependent

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.

Size-dependent vibration analysis of carbon nanotubes

2019 ◽  
Vol 34 (13) ◽  
pp. 2148-2160
Author(s):  
Wu-Rong Jian ◽  
Xiaohu Yao ◽  
Yugang Sun ◽  
Zhuocheng Xie ◽  
Xiaoqing Zhang
Keyword(s):  
Carbon Nanotubes ◽  
Vibration Analysis ◽  
Size Dependent ◽  
Image Position

Abstract

scholarly journals Study on the nonlinear vibration of embedded carbon nanotube via the Hamiltonian-based method

2021 ◽  
pp. 146134842110327
Author(s):  
Kang-Jia Wang ◽  
Guo-Dong Wang
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Nonlinear Vibration ◽  
Elastic Medium ◽  
Numerical Results ◽  
Frequency Property ◽  
New Novel ◽  
Novel Method

This article mainly studies the vibration of the carbon nanotubes embedded in elastic medium. A new novel method called the Hamiltonian-based method is applied to determine the frequency property of the nonlinear vibration. Finally, the effectiveness and reliability of the proposed method is verified through the numerical results. The obtained results in this work are expected to be helpful for the study of the nonlinear vibration.

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