Vibration analysis of sandwich beams with nonuniform cross-section made of FGP core and FGM faces resting on Winkler elastic foundation

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dc.authoridhttps://orcid.org/0000-0001-6232-6303
dc.contributor.authorAslan, Timuçin Alp
dc.contributor.authorNoori, Ahmad Reshad
dc.contributor.authorTemel, Beytullah
dc.contributor.authorÖzer, Asena Pınar
dc.date.accessioned2025-08-18T12:20:28Z
dc.date.available2025-08-18T12:20:28Z
dc.date.issued2025
dc.departmentMühendislik ve Mimarlık Fakültesi
dc.description.abstractThis research proposes the complementary functions method (CFM) and the Laplace transformation to carry out the free vibration frequencies of sandwich beams resting on the Winkler elastic foundation. The beam is assumed to have a variable width and a constant height. The top and bottom faces are made of functionally graded materials (FGM) while the core has a functionally graded porous material (FGPM). The governing equations are canonical ones based on the first-order shear deformation theory. The Laplace transformation is implemented in this set of equations. The transferred equations are solved numerically by reducing them from twopoint boundary value problems to initial value problems via the CFM. The comparison with the available literature shows that the CFM can be used efficiently in the numerical solution of the present class of problems. It is observed that the dependence of the natural frequencies are highly influenced by boundary conditions, spring constants, porosity functions, porosity coefficients, face–core–face layer ratios, length/height ratios, and material gradient index. Notably, as the non-dimensional Winkler spring constants increase, the effect of the material gradient index on the natural frequencies becomes less pronounced.
dc.identifier.doi10.1080/15397734.2025.2522982
dc.identifier.issn1539-7734
dc.identifier.issn1539-7742
dc.identifier.urihttps://hdl.handle.net/11363/10286
dc.identifier.wos001517329300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.institutionauthorNoori, Ahmad Reshad
dc.institutionauthoridhttps://orcid.org/0000-0001-6232-6303
dc.language.isoen
dc.publisherTAYLOR & FRANCIS INC, 530 WALNUT STREET, STE 850, PHILADELPHIA, PA 19106
dc.relation.ispartofMECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectWinkler foundations
dc.subjectsandwich beams
dc.subjectvariable cross-section
dc.subjectcomplementary functions method (CFM)
dc.subjectfree vibration
dc.subjectfunctionally graded porous materials
dc.titleVibration analysis of sandwich beams with nonuniform cross-section made of FGP core and FGM faces resting on Winkler elastic foundation
dc.typeArticle

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