On Critical Buckling Loads of Columns under End Load Dependent on Direction

Most of the phenomena of various fields of applied sciences are nonlinear problems. Recently, various types of analytical approximate solution techniques were introduced and successfully applied to the nonlinear differential equations. One of the aforementioned techniques is the Homotopy analysis me...

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Detalles Bibliográficos
Autores principales: Başbük, Musa, Eryılmaz, Aytekin, Atay, M. Tarık
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4897261/
https://www.ncbi.nlm.nih.gov/pubmed/27379303
http://dx.doi.org/10.1155/2014/531438
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author Başbük, Musa
Eryılmaz, Aytekin
Atay, M. Tarık
author_facet Başbük, Musa
Eryılmaz, Aytekin
Atay, M. Tarık
author_sort Başbük, Musa
collection PubMed
description Most of the phenomena of various fields of applied sciences are nonlinear problems. Recently, various types of analytical approximate solution techniques were introduced and successfully applied to the nonlinear differential equations. One of the aforementioned techniques is the Homotopy analysis method (HAM). In this study, we applied HAM to find critical buckling load of a column under end load dependent on direction. We obtained the critical buckling loads and compared them with the exact analytic solutions in the literature.
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spelling pubmed-48972612016-07-04 On Critical Buckling Loads of Columns under End Load Dependent on Direction Başbük, Musa Eryılmaz, Aytekin Atay, M. Tarık Int Sch Res Notices Research Article Most of the phenomena of various fields of applied sciences are nonlinear problems. Recently, various types of analytical approximate solution techniques were introduced and successfully applied to the nonlinear differential equations. One of the aforementioned techniques is the Homotopy analysis method (HAM). In this study, we applied HAM to find critical buckling load of a column under end load dependent on direction. We obtained the critical buckling loads and compared them with the exact analytic solutions in the literature. Hindawi Publishing Corporation 2014-10-29 /pmc/articles/PMC4897261/ /pubmed/27379303 http://dx.doi.org/10.1155/2014/531438 Text en Copyright © 2014 Musa Başbük et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Başbük, Musa
Eryılmaz, Aytekin
Atay, M. Tarık
On Critical Buckling Loads of Columns under End Load Dependent on Direction
title On Critical Buckling Loads of Columns under End Load Dependent on Direction
title_full On Critical Buckling Loads of Columns under End Load Dependent on Direction
title_fullStr On Critical Buckling Loads of Columns under End Load Dependent on Direction
title_full_unstemmed On Critical Buckling Loads of Columns under End Load Dependent on Direction
title_short On Critical Buckling Loads of Columns under End Load Dependent on Direction
title_sort on critical buckling loads of columns under end load dependent on direction
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4897261/
https://www.ncbi.nlm.nih.gov/pubmed/27379303
http://dx.doi.org/10.1155/2014/531438
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AT eryılmazaytekin oncriticalbucklingloadsofcolumnsunderendloaddependentondirection
AT ataymtarık oncriticalbucklingloadsofcolumnsunderendloaddependentondirection

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