Dynamic response of viscoelastic functionally graded barrel and hyperboloidal coil springs with variable cross-sectional area

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dc.contributor.authorCuma, Yavuz Cetin
dc.contributor.authorCalim, Faruk Firat
dc.date.accessioned2025-01-06T17:44:49Z
dc.date.available2025-01-06T17:44:49Z
dc.date.issued2022
dc.description.abstractThis paper investigates the dynamic response of viscoelastic axially functionally graded (AFG) barrel and hyperboloidal coil springs with variable cross-sectional area. Equations governing the dynamic behaviour of spatial rods are obtained via Timoshenko beam theory. The viscoelastic characteristics of the material are described by Kelvin's model. The transfer matrix method and stiffness matrix methods are used in combination in the numerical solution of the problem. Stiffness matrices are determined by the transfer matrix method (TMM). Solutions are obtained in the Laplace domain; the results are transformed into the time domain by Durbin's inverse Laplace transform algorithm. A benchmark solution for verifying non-cylindrical geometry is successfully integrated into the damped forced vibration analysis. A parametric study is conducted in which cylinder radius ratio, damping ratio, material gradient and cross-sectional area are varied for both helical rod geometries mentioned above.
dc.identifier.doi10.1007/s11043-021-09520-1
dc.identifier.endpage937
dc.identifier.issn1385-2000
dc.identifier.issn1573-2738
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85118655137
dc.identifier.scopusqualityQ1
dc.identifier.startpage923
dc.identifier.urihttps://doi.org/10.1007/s11043-021-09520-1
dc.identifier.urihttps://hdl.handle.net/20.500.14669/3180
dc.identifier.volume26
dc.identifier.wosWOS:000716241900001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofMechanics of Time-Dependent Materials
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241211
dc.subjectViscoelasticity
dc.subjectNon-cylindrical helical rods
dc.subjectForced vibration
dc.subjectFunctionally graded material (FGM)
dc.titleDynamic response of viscoelastic functionally graded barrel and hyperboloidal coil springs with variable cross-sectional area
dc.typeArticle

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