Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads

Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads

<p>Buckling of elastically restrained carbon nanotubes is studied subject to a combination of uniformly distributed and concentrated compressive loads. Governing equations are based on the nonlocal model of carbon nanotubes. Weak formulation of the problem is formulated and the Rayleigh quotie...

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Main Authors: M. T. A. Robinson, S. Adali
Format: Article
Language:English
Published: Copernicus Publications 2019-04-01
Series:Mechanical Sciences
Online Access:https://www.mech-sci.net/10/145/2019/ms-10-145-2019.pdf
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spelling doaj-1e1a0710bcac42b4aad99893ec23e6c92020-11-25T01:08:42ZengCopernicus PublicationsMechanical Sciences2191-91512191-916X2019-04-011014515210.5194/ms-10-145-2019Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loadsM. T. A. Robinson0S. Adali1Department of Physics, University of Dschang, Dschang, CameroonDiscipline of Mechanical Engineering, University of KwaZulu-Natal, Durban, South Africa<p>Buckling of elastically restrained carbon nanotubes is studied subject to a combination of uniformly distributed and concentrated compressive loads. Governing equations are based on the nonlocal model of carbon nanotubes. Weak formulation of the problem is formulated and the Rayleigh quotients are obtained for distributed and concentrated axial loads. Numerical solutions are obtained by Rayleigh–Ritz method using orthogonal Chebyshev polynomials. The method of solution is verified by checking against results available in the literature. The effect of the elastic restraints on the buckling load is studied by counter plots in term of small-scale parameter and the spring constants.</p>https://www.mech-sci.net/10/145/2019/ms-10-145-2019.pdf
collection DOAJ
language English
format Article
sources DOAJ
author M. T. A. Robinson
S. Adali
spellingShingle M. T. A. Robinson
S. Adali
Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads
Mechanical Sciences
author_facet M. T. A. Robinson
S. Adali
author_sort M. T. A. Robinson
title Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads
title_short Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads
title_full Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads
title_fullStr Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads
title_full_unstemmed Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads
title_sort buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads
publisher Copernicus Publications
series Mechanical Sciences
issn 2191-9151
2191-916X
publishDate 2019-04-01
description <p>Buckling of elastically restrained carbon nanotubes is studied subject to a combination of uniformly distributed and concentrated compressive loads. Governing equations are based on the nonlocal model of carbon nanotubes. Weak formulation of the problem is formulated and the Rayleigh quotients are obtained for distributed and concentrated axial loads. Numerical solutions are obtained by Rayleigh–Ritz method using orthogonal Chebyshev polynomials. The method of solution is verified by checking against results available in the literature. The effect of the elastic restraints on the buckling load is studied by counter plots in term of small-scale parameter and the spring constants.</p>
url https://www.mech-sci.net/10/145/2019/ms-10-145-2019.pdf
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AT sadali bucklingofelasticallyrestrainednonlocalcarbonnanotubesunderconcentratedanduniformlydistributedaxialloads
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