Free vibration analysis of functionally graded beams using complementary functions method

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dc.authoridCELEBI, Kerimcan/0000-0001-6294-0872
dc.contributor.authorCelebi, Kerimcan
dc.contributor.authorYarimpabuc, Durmus
dc.contributor.authorTutuncu, Naki
dc.date.accessioned2025-01-06T17:38:05Z
dc.date.available2025-01-06T17:38:05Z
dc.date.issued2018
dc.description.abstractA novel approach is employed in the free vibration analysis of simply supported functionally graded beams. Modulus of elasticity, density of material, and Poisson's ratio may change arbitrarily in the thickness direction. The equations of motion are derived using the plane elasticity theory. The governing differential equations have variable coefficients, which are functions of material properties. Analytical solutions of such equations are limited to specific material properties. Hence, numerical approaches must be adopted to solve the problem on hand. The complementary functions method will be infused into the analysis to convert the problem into an initial-value problem which can be solved accurately. Solutions thus obtained are compared to closed-form benchmark solutions available in the literature and finite element software solutions to validate the method presented. Subsequently, it is demonstrated that the method is efficiently applicable to material properties changing arbitrarily through the thickness with continuous derivatives.
dc.identifier.doi10.1007/s00419-017-1338-6
dc.identifier.endpage739
dc.identifier.issn0939-1533
dc.identifier.issn1432-0681
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85038610896
dc.identifier.scopusqualityQ2
dc.identifier.startpage729
dc.identifier.urihttps://doi.org/10.1007/s00419-017-1338-6
dc.identifier.urihttps://hdl.handle.net/20.500.14669/2465
dc.identifier.volume88
dc.identifier.wosWOS:000431300100006
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofArchive of Applied Mechanics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241211
dc.subjectFunctionally graded materials
dc.subjectComplementary functions method
dc.subjectBeams
dc.subjectElasticity
dc.subjectVibration
dc.subjectNatural frequencies
dc.titleFree vibration analysis of functionally graded beams using complementary functions method
dc.typeArticle

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