Comparison of modeling a conical nanotube resting on the Winkler elastic foundation based on the modified couple stress theory and molecular dynamics simulation

Mohammadi, Kianoosh; Mahinzare, Mohammad; Rajabpour, Ali; Ghadiri, Majid

doi:10.1140/epjp/i2017-11395-x

Cited by 43 publications

(9 citation statements)

References 25 publications

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“…Mohammadimehr et al (2016b) discussed free vibration, bending, and buckling of single-wall carbon nanotube (SWCNT) micro-composite plate reinforced by SWCNTs. Mohammadi et al (2017b) analyzed the vibration of a conical nanoshell resting on an elastic foundation based on the modified couple stress and molecular dynamic simulation. Ghadiri and Safarpour (2016) examined free vibrational behavior of a magneto-electro-elastic cylindrical nanoshell under magnetic, electrical, and thermal loadings based on the modified couple stress theory.…”

Section: Introductionmentioning

confidence: 99%

Vibration and buckling analysis of a rotary functionally graded piezomagnetic nanoshell embedded in viscoelastic media

Shojaeefard

Googarchin

Mahinzare

et al. 2018

Journal of Intelligent Material Systems and Structures

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This article investigates free vibration of a functionally graded piezomagnetic material cylindrical nanoshell embedded in viscoelastic media under rotational, external electric and magnetic loadings. The governing equations of the nanoshell are derived based on Eringen’s nonlocal theory. It is found that, magnetic and piezoelectric properties of the structure change exponentially along the thickness. The rotational loading is calculated considering initial hoop tension. The results are obtained by applying generalized differential quadrature method to the governing equations and associated boundary conditions. Results also include those achieved for clamped-clamped and simply hinged-hinged boundary conditions. It is found that free vibration characteristics of functionally graded piezomagnetic material cylindrical nanoshell are influenced by several factors including angular velocity, length scale parameter, external voltage, external amperage, functionally graded power index, and viscoelastic media parameters.

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Section: Introductionmentioning

confidence: 99%

Vibration and buckling analysis of a rotary functionally graded piezomagnetic nanoshell embedded in viscoelastic media

Shojaeefard

Googarchin

Mahinzare

et al. 2018

Journal of Intelligent Material Systems and Structures

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“…Since the construction of shells in the form of a cylinder has simple methods and also cylindrical shells have high strength in their low weight (Mohammadi et al, 2017a; Mohammadi et al, 2017b), these structures have a very high application in industries. Therefore, many recent studies (Alibeigloo and Zanoosi, 2017; Lee and Kwak, 2015; Mahinzare et al, 2017; Song et al, 2016; Wagner et al, 2017; Zhang et al, 2017) have been conducted to analyze the behavior of these structures done.…”

Section: Introductionmentioning

confidence: 99%

A nonlocal strain gradient theory for rotating thermo-mechanical characteristics on magnetically actuated viscoelastic functionally graded nanoshell

Mahinzare

Akhavan

Ghadiri

2020

Journal of Intelligent Material Systems and Structures

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In this article, a first-order shear deformable model is expanded based on the nonlocal strain gradient theory to vibration analysis of smart nanostructures under different boundary conditions. The governing equations of motion of rotating magneto-viscoelastic functionally graded cylindrical nanoshell in the magnetic field and corresponding boundary conditions are obtained using Hamilton’s principle. To discretize the equations of motion, the generalized differential quadrature method is applied. The aim of this work is to investigate the effects of the temperature changes, nonlocal parameter, material length scale, viscoelastic coefficient, various boundary conditions, and the rotational speed of this smart structure on natural frequencies of rotating cylindrical nanoshell made of magneto-viscoelastic functionally graded material.

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“…Molecular dynamic simulation is a useful numerical method to predict nanostructures behavior, but it is often time-consuming. Therefore, non-classical theories are employed to consider the size effects and they can be calibrated by molecular dynamic simulation [7][8][9] to achieve more accurate responses. In addition, this material can be used in electrical devices such as those mentioned in Refs [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Effect of distributed axial loading on dynamic stability and buckling analysis of a viscoelastic DWCNT conveying viscous fluid flow

Mohammadi

Barouti

Safarpour

et al. 2019

J Braz. Soc. Mech. Sci. Eng.

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In this article, dynamic stability and buckling analysis of a double-walled carbon nanotube (DWCNT) under distributed axial force are investigated. The visco-Pasternak model is used to simulate the elastic medium between nanotubes considering the effects of spring, shear and damping of the elastic medium. This system is conveying viscous fluid, and the relevant force is calculated by modified Navier-Stokes relation considering slip boundary condition and Knudsen number. The nanostructure is modeled as two orthotropic moderately thick cylindrical shells, and the effects of small-scale and structural damping are accounted based on modified couple stress and Kelvin-Voigt theories. The governing equations and boundary conditions are developed using Hamilton's principle and solved with the aid of Navier and generalized differential quadrature methods. In this research, the dynamic instability occurs in the viscoelastic DWCNT conveying viscous fluid flow as the natural frequency becomes equal to zero. The results show that the velocity of viscous fluid flow, axial load, mode number, length-to-radius ratio, radius-to-thickness ratio, visco-Pasternak foundation and the boundary conditions play important roles on the critical pressure and natural frequency of the viscoelastic DWCNT conveying viscous fluid flow under axial force.

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Comparison of modeling a conical nanotube resting on the Winkler elastic foundation based on the modified couple stress theory and molecular dynamics simulation

Cited by 43 publications

References 25 publications

Vibration and buckling analysis of a rotary functionally graded piezomagnetic nanoshell embedded in viscoelastic media

Vibration and buckling analysis of a rotary functionally graded piezomagnetic nanoshell embedded in viscoelastic media

A nonlocal strain gradient theory for rotating thermo-mechanical characteristics on magnetically actuated viscoelastic functionally graded nanoshell

Effect of distributed axial loading on dynamic stability and buckling analysis of a viscoelastic DWCNT conveying viscous fluid flow

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