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...

Full description

Saved in:
Bibliographic Details
Published in:International scholarly research notices 2014, Vol.2014, p.531438-6
Main Authors: Başbük, Musa, Eryılmaz, Aytekin, Atay, M. Tarık
Format: Article
Language:English
Subjects:
Analysis
Differential equations
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c3178-5079fe2b1393d1176f0ad9740ac4a4389378479c69b088eb29f91adf4cb853e83
cites cdi_FETCH-LOGICAL-c3178-5079fe2b1393d1176f0ad9740ac4a4389378479c69b088eb29f91adf4cb853e83
container_end_page 6
container_issue
container_start_page 531438
container_title International scholarly research notices
container_volume 2014
creator Başbük, Musa
Eryılmaz, Aytekin
Atay, M. Tarık
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.
doi_str_mv 10.1155/2014/531438
format article
fullrecord <record><control><sourceid>gale_pubme</sourceid><recordid>TN_cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_4897261</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A411197785</galeid><sourcerecordid>A411197785</sourcerecordid><originalsourceid>FETCH-LOGICAL-c3178-5079fe2b1393d1176f0ad9740ac4a4389378479c69b088eb29f91adf4cb853e83</originalsourceid><addsrcrecordid>eNp9kc1PGzEQxS1UVFDg1DuyxKVqFfDY3ti-VIKQtohIudCz5fV6g2Fjp3a2iP--TpOGjwMnjzw_vXlPD6FPQM4AquqcEuDnFQPO5B46pKwaDYUU9MOL-QAd53xPCAHGGVTwER1QwYRihB2im1nA4-RX3poOX_b2ofNhjqfRNBnHFo9j1y9Cxn1oXMKT0Pxb4Su3dOUnrHAM-MonZ1c-hiO035ouu-PtO0C_vk9uxz-H09mP6_HFdGgZCDmsiFCtozUwxRoAMWqJaZTgxFhuSg7FhORC2ZGqiZSupqpVYJqW21pWzEk2QN82usu-XrjGFh_JdHqZ_MKkJx2N1683wd_pefyjuVSCjqAIfN4KpPi7d3mlFz5b13UmuNhnDZJQLqCSa_T0DXof-xRKPF2cE0aV4vSZmpvOaR_aWO7atai-4ACghCjWB-jrhrIp5pxcu7MMRK_b1Os29abNQp-8TLlj_3dXgC8b4M6Hxjz6d9X-AmKRozY</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1760329942</pqid></control><display><type>article</type><title>On Critical Buckling Loads of Columns under End Load Dependent on Direction</title><source>Wiley Online Library Open Access</source><source>Publicly Available Content Database</source><source>PubMed Central</source><creator>Başbük, Musa ; Eryılmaz, Aytekin ; Atay, M. Tarık</creator><contributor>Fikioris, George</contributor><creatorcontrib>Başbük, Musa ; Eryılmaz, Aytekin ; Atay, M. Tarık ; Fikioris, George</creatorcontrib><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.</description><identifier>ISSN: 2356-7872</identifier><identifier>EISSN: 2356-7872</identifier><identifier>DOI: 10.1155/2014/531438</identifier><identifier>PMID: 27379303</identifier><language>eng</language><publisher>United States: Hindawi Publishing Corporation</publisher><subject>Analysis ; Differential equations</subject><ispartof>International scholarly research notices, 2014, Vol.2014, p.531438-6</ispartof><rights>Copyright © 2014 Musa Başbük et al.</rights><rights>COPYRIGHT 2014 John Wiley &amp; Sons, Inc.</rights><rights>Copyright © 2014 Musa Basbük et al. 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.</rights><rights>Copyright © 2014 Musa Başbük et al. 2014</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3178-5079fe2b1393d1176f0ad9740ac4a4389378479c69b088eb29f91adf4cb853e83</citedby><cites>FETCH-LOGICAL-c3178-5079fe2b1393d1176f0ad9740ac4a4389378479c69b088eb29f91adf4cb853e83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/1760329942/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/1760329942?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>230,314,723,776,780,881,4010,25731,27900,27901,27902,36989,36990,44566,53766,53768,74869</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/27379303$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><contributor>Fikioris, George</contributor><creatorcontrib>Başbük, Musa</creatorcontrib><creatorcontrib>Eryılmaz, Aytekin</creatorcontrib><creatorcontrib>Atay, M. Tarık</creatorcontrib><title>On Critical Buckling Loads of Columns under End Load Dependent on Direction</title><title>International scholarly research notices</title><addtitle>Int Sch Res Notices</addtitle><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.</description><subject>Analysis</subject><subject>Differential equations</subject><issn>2356-7872</issn><issn>2356-7872</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNp9kc1PGzEQxS1UVFDg1DuyxKVqFfDY3ti-VIKQtohIudCz5fV6g2Fjp3a2iP--TpOGjwMnjzw_vXlPD6FPQM4AquqcEuDnFQPO5B46pKwaDYUU9MOL-QAd53xPCAHGGVTwER1QwYRihB2im1nA4-RX3poOX_b2ofNhjqfRNBnHFo9j1y9Cxn1oXMKT0Pxb4Su3dOUnrHAM-MonZ1c-hiO035ouu-PtO0C_vk9uxz-H09mP6_HFdGgZCDmsiFCtozUwxRoAMWqJaZTgxFhuSg7FhORC2ZGqiZSupqpVYJqW21pWzEk2QN82usu-XrjGFh_JdHqZ_MKkJx2N1683wd_pefyjuVSCjqAIfN4KpPi7d3mlFz5b13UmuNhnDZJQLqCSa_T0DXof-xRKPF2cE0aV4vSZmpvOaR_aWO7atai-4ACghCjWB-jrhrIp5pxcu7MMRK_b1Os29abNQp-8TLlj_3dXgC8b4M6Hxjz6d9X-AmKRozY</recordid><startdate>2014</startdate><enddate>2014</enddate><creator>Başbük, Musa</creator><creator>Eryılmaz, Aytekin</creator><creator>Atay, M. Tarık</creator><general>Hindawi Publishing Corporation</general><general>John Wiley &amp; Sons, Inc</general><general>Hindawi Limited</general><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7T5</scope><scope>7XB</scope><scope>8FE</scope><scope>8FG</scope><scope>8FH</scope><scope>8FK</scope><scope>8G5</scope><scope>ABUWG</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>H94</scope><scope>HCIFZ</scope><scope>LK8</scope><scope>M2O</scope><scope>M7P</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>Q9U</scope><scope>7X8</scope><scope>5PM</scope></search><sort><creationdate>2014</creationdate><title>On Critical Buckling Loads of Columns under End Load Dependent on Direction</title><author>Başbük, Musa ; Eryılmaz, Aytekin ; Atay, M. Tarık</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3178-5079fe2b1393d1176f0ad9740ac4a4389378479c69b088eb29f91adf4cb853e83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Analysis</topic><topic>Differential equations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Başbük, Musa</creatorcontrib><creatorcontrib>Eryılmaz, Aytekin</creatorcontrib><creatorcontrib>Atay, M. Tarık</creatorcontrib><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access Journals</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Immunology Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest One Sustainability</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>Natural Science Collection (ProQuest)</collection><collection>Earth, Atmospheric &amp; Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>AIDS and Cancer Research Abstracts</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Biological Science Collection</collection><collection>Research Library</collection><collection>Biological Science Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Earth, Atmospheric &amp; Aquatic Science Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>ProQuest Central Basic</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>International scholarly research notices</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Başbük, Musa</au><au>Eryılmaz, Aytekin</au><au>Atay, M. Tarık</au><au>Fikioris, George</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On Critical Buckling Loads of Columns under End Load Dependent on Direction</atitle><jtitle>International scholarly research notices</jtitle><addtitle>Int Sch Res Notices</addtitle><date>2014</date><risdate>2014</risdate><volume>2014</volume><spage>531438</spage><epage>6</epage><pages>531438-6</pages><issn>2356-7872</issn><eissn>2356-7872</eissn><abstract>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.</abstract><cop>United States</cop><pub>Hindawi Publishing Corporation</pub><pmid>27379303</pmid><doi>10.1155/2014/531438</doi><tpages>6</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 2356-7872
ispartof International scholarly research notices, 2014, Vol.2014, p.531438-6
issn 2356-7872
2356-7872
language eng
recordid cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_4897261
source Wiley Online Library Open Access; Publicly Available Content Database; PubMed Central
subjects Analysis
Differential equations
title On Critical Buckling Loads of Columns under End Load Dependent on Direction
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-07T08%3A18%3A37IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_pubme&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20Critical%20Buckling%20Loads%20of%20Columns%20under%20End%20Load%20Dependent%20on%20Direction&rft.jtitle=International%20scholarly%20research%20notices&rft.au=Ba%C5%9Fb%C3%BCk,%20Musa&rft.date=2014&rft.volume=2014&rft.spage=531438&rft.epage=6&rft.pages=531438-6&rft.issn=2356-7872&rft.eissn=2356-7872&rft_id=info:doi/10.1155/2014/531438&rft_dat=%3Cgale_pubme%3EA411197785%3C/gale_pubme%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c3178-5079fe2b1393d1176f0ad9740ac4a4389378479c69b088eb29f91adf4cb853e83%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=1760329942&rft_id=info:pmid/27379303&rft_galeid=A411197785&rfr_iscdi=true