The Homotopy Perturbation Method for free vibration analysis of beam on elastic foundation

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dc.authorid0000-0002-2319-0447
dc.contributor.authorOzturk, Baki
dc.contributor.authorCoskun, Safa Bozkurt
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2011
dc.departmentNiğde ÖHÜ
dc.description.abstractIn this study, the homotopy perturbation method (HPM) is applied to free vibration analysis of beam on elastic foundation. This numerical method is applied on three different axially loaded cases, namely: 1) one end fixed, the other end simply supported; 2) both ends fixed and 3) both ends simply supported cases. Analytical solutions and frequency factors are evaluated for different ratios of axial load N acting on the beam to Euler buckling load, N(r). The application of HPM for the particular problem in this study gives results which are in excellent agreement with both analytical solutions and the variational iteration method (VIM) solutions for all the cases considered in this study and the differential transform method (DTM) results available in the literature for the fixed-pinned case.
dc.identifier.endpage425
dc.identifier.issn1225-4568
dc.identifier.issue4
dc.identifier.scopus2-s2.0-79551707446
dc.identifier.scopusqualityQ2
dc.identifier.startpage415
dc.identifier.urihttps://hdl.handle.net/11480/4746
dc.identifier.volume37
dc.identifier.wosWOS:000286688300005
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherTECHNO-PRESS
dc.relation.ispartofSTRUCTURAL ENGINEERING AND MECHANICS
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjecthomotopy perturbation method
dc.subjectbeam on elastic foundation
dc.subjectfree vibration analysis
dc.titleThe Homotopy Perturbation Method for free vibration analysis of beam on elastic foundation
dc.typeArticle

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