Determination of Critical Buckling Loads for Variable Stiffness Euler Columns Using Homotopy Perturbation Method

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dc.contributor.authorAtay, Mehmet Tarik
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2009
dc.departmentNiğde ÖHÜ
dc.description.abstractIn this paper, a new perturbation method namely, Homotopy Perturbation Method (HPM), is applied to buckling of non-uniform columns problem, which is an important engineering problem, because of the fact that determining the buckling loads are important steps in structural analysis and design applications. Columns are primary structural forms and there are numerous studies related to this subject. Application of this new method (HPM) will give researchers a new and powerful tool for solving buckling problems for which finding an exact analytical solution may not be possible. An important point of this technique is, in contrast to traditional perturbation methods, that this new technique does not require a small parameter in an equation to be solved. In this method, according to the homotopy technique, a homotopy with an imbedding parameter p is an element of [0,1] is constructed and imbedding parameter is considered as an expanding parameter. The paper shows the efficiency of the method and accuracy of the obtained analytic approximate solution for the problem.
dc.identifier.endpage206
dc.identifier.issn1565-1339
dc.identifier.issn2191-0294
dc.identifier.issue2
dc.identifier.scopus2-s2.0-65349194081
dc.identifier.scopusqualityQ2
dc.identifier.startpage199
dc.identifier.urihttps://hdl.handle.net/11480/5102
dc.identifier.volume10
dc.identifier.wosWOS:000262962900006
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAtay, Mehmet Tarik
dc.language.isoen
dc.publisherWALTER DE GRUYTER GMBH
dc.relation.ispartofINTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectHomotopy Perturbation
dc.subjectBuckling
dc.subjectEuler column
dc.subjectVariable flexural rigidity
dc.subjectElastic stability
dc.titleDetermination of Critical Buckling Loads for Variable Stiffness Euler Columns Using Homotopy Perturbation Method
dc.typeArticle

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