Simulation of Free Vibrations of Multi-Walled Carbon Nanotube Based on Non-Local Theory of Thin Elastic Orthotropic Shells

The mathematical model of multi-walled carbon nanotube embedded in an elastic matrix is proposed. The effect of the surrounding elastic medium are considered using the Winkler-type spring constant. The tube may be prestressed by external forces. The Flugge type equations for orthotropic cylindrical...

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Autores principales:	G.I. Mikhasev, A.N. Sheiko
Formato:	article
Lenguaje:	EN RU
Publicado:	National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering" 2013
Materias:	multi-walled carbon nanotube nonlocal theory of elasticity van der waals forces equations of motion free vibrations Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/ee2c5c4b87b44f699f8f1be80c39144e
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id	oai:doaj.org-article:ee2c5c4b87b44f699f8f1be80c39144e
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spelling	oai:doaj.org-article:ee2c5c4b87b44f699f8f1be80c39144e2021-11-25T11:40:07ZSimulation of Free Vibrations of Multi-Walled Carbon Nanotube Based on Non-Local Theory of Thin Elastic Orthotropic Shells1995-04702518-1475https://doaj.org/article/ee2c5c4b87b44f699f8f1be80c39144e2013-12-01T00:00:00Zhttp://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=359https://doaj.org/toc/1995-0470https://doaj.org/toc/2518-1475The mathematical model of multi-walled carbon nanotube embedded in an elastic matrix is proposed. The effect of the surrounding elastic medium are considered using the Winkler-type spring constant. The tube may be prestressed by external forces. The Flugge type equations for orthotropic cylindrical shells, including the initial membrane hoop and axial stresses, are used as the governing ones. The constitutive equations are formulated by considering the small-scale effects. The dependence of natural frequencies upon a number of waves in the longitudinal direction, tube length and the motion directions of walls as well is studied.G.I. MikhasevA.N. SheikoNational Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"articlemulti-walled carbon nanotubenonlocal theory of elasticityvan der waals forcesequations of motionfree vibrationsMechanical engineering and machineryTJ1-1570ENRUМеханика машин, механизмов и материалов, Iss 4(25), Pp 60-64 (2013)
institution	DOAJ
collection	DOAJ
language	EN RU
topic	multi-walled carbon nanotube nonlocal theory of elasticity van der waals forces equations of motion free vibrations Mechanical engineering and machinery TJ1-1570
spellingShingle	multi-walled carbon nanotube nonlocal theory of elasticity van der waals forces equations of motion free vibrations Mechanical engineering and machinery TJ1-1570 G.I. Mikhasev A.N. Sheiko Simulation of Free Vibrations of Multi-Walled Carbon Nanotube Based on Non-Local Theory of Thin Elastic Orthotropic Shells
description	The mathematical model of multi-walled carbon nanotube embedded in an elastic matrix is proposed. The effect of the surrounding elastic medium are considered using the Winkler-type spring constant. The tube may be prestressed by external forces. The Flugge type equations for orthotropic cylindrical shells, including the initial membrane hoop and axial stresses, are used as the governing ones. The constitutive equations are formulated by considering the small-scale effects. The dependence of natural frequencies upon a number of waves in the longitudinal direction, tube length and the motion directions of walls as well is studied.
format	article
author	G.I. Mikhasev A.N. Sheiko
author_facet	G.I. Mikhasev A.N. Sheiko
author_sort	G.I. Mikhasev
title	Simulation of Free Vibrations of Multi-Walled Carbon Nanotube Based on Non-Local Theory of Thin Elastic Orthotropic Shells
title_short	Simulation of Free Vibrations of Multi-Walled Carbon Nanotube Based on Non-Local Theory of Thin Elastic Orthotropic Shells
title_full	Simulation of Free Vibrations of Multi-Walled Carbon Nanotube Based on Non-Local Theory of Thin Elastic Orthotropic Shells
title_fullStr	Simulation of Free Vibrations of Multi-Walled Carbon Nanotube Based on Non-Local Theory of Thin Elastic Orthotropic Shells
title_full_unstemmed	Simulation of Free Vibrations of Multi-Walled Carbon Nanotube Based on Non-Local Theory of Thin Elastic Orthotropic Shells
title_sort	simulation of free vibrations of multi-walled carbon nanotube based on non-local theory of thin elastic orthotropic shells
publisher	National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"
publishDate	2013
url	https://doaj.org/article/ee2c5c4b87b44f699f8f1be80c39144e
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Simulation of Free Vibrations of Multi-Walled Carbon Nanotube Based on Non-Local Theory of Thin Elastic Orthotropic Shells

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