Free vibration analysis of beam on elastic foundation by the variational iteration method

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dc.contributor.authorOzturk, Baki
dc.date.accessioned2024-11-07T10:40:01Z
dc.date.available2024-11-07T10:40:01Z
dc.date.issued2009
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractThis paper applies the variational iteration method (VIM) to analysis of free vibration of a beam on an elastic foundation. Three different axially loaded cases are considered: 1) one end fixed, the other end simply supported; 2) both ends fixed; and 3) both ends simply supported. Analytical solutions and the frequency factors are obtained for different ratios of axial load acting on the beam to Euler buckling load. The VIM results are in excellent agreement with both analytical solutions for all the cases considered in this paper and the differential transform method (DTM) results available in the literature for the fixedpinned case. © Freund Publishing House Ltd.
dc.identifier.doi10.1515/IJNSNS.2009.10.10.1255
dc.identifier.endpage1262
dc.identifier.issn1565-1339
dc.identifier.issue10
dc.identifier.scopus2-s2.0-74549220503
dc.identifier.scopusqualityQ2
dc.identifier.startpage1255
dc.identifier.urihttps://doi.org/10.1515/IJNSNS.2009.10.10.1255
dc.identifier.urihttps://hdl.handle.net/11480/11358
dc.identifier.volume10
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherFreund Publishing House Ltd
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.snmzKA_20241106
dc.subjectBeam on elastic foundation
dc.subjectFree vibration analysis
dc.subjectVariational iteration method
dc.titleFree vibration analysis of beam on elastic foundation by the variational iteration method
dc.typeArticle

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