Dynamic Analysis of Functionally Graded Porous Beams Using Complementary Functions Method in the Laplace Domain

dc.authoridhttps://orcid.org/0000-0001-6232-6303en_US
dc.contributor.authorNoori, Ahmad Reshad
dc.contributor.authorAslan, Timuçin Alp
dc.contributor.authorTemel, Beytullah
dc.date.accessioned2023-06-19T16:30:28Z
dc.date.available2023-06-19T16:30:28Z
dc.date.issued2021en_US
dc.departmentMühendislik ve Mimarlık Fakültesien_US
dc.description.abstractIn this study, an efficient numerical procedure is introduced to the solution of the dynamic response of functionally graded porous (FGP) beams. The elastic modulus and mass density of the porous materials are considered to have non?uniform distributions along the thickness direction. The typical open?cell metal foam is assumed to govern the material constitutive law. Within the framework of the first?order shear deformation theory (FSDT) the influence of shear strain is included in the formulations. The impact of damping is also considered. By using the canonically conjugate momentums and their derivatives, the governing canonical equations of motion of FGP beams are derived for the first time. These equations are then transformed into the Laplace space and solved numerically with the aid of the Complementary Functions Method (CFM). Obtained results are retransformed to the time domain by using an efficient inverse transform method. The dynamic response of FGP beams is studied for several boundary and loading conditions. The suggested procedure is verified with the available published literature and the finite element method. Detailed parametric studies are conducted to show the influence of porosity constants, symmetric and asymmetric porosity distributions and damping ratios on the dynamic response of FG porous beams.en_US
dc.identifier.doi10.1016/j.compstruct.2020.113094en_US
dc.identifier.endpage12en_US
dc.identifier.issn0263-8223
dc.identifier.issn1879-1085
dc.identifier.scopus2-s2.0-85093956078en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://hdl.handle.net/11363/4902
dc.identifier.urihttps://doi.org/
dc.identifier.volume256en_US
dc.identifier.wosWOS:000600455900006en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorNoori, Ahmad Reshad
dc.language.isoenen_US
dc.publisherELSEVIER SCI LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLANDen_US
dc.relation.ispartofComposite Structuresen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectFree vibrationen_US
dc.subjectForced vibrationen_US
dc.subjectFunctionally graded porous beamen_US
dc.subjectViscoelastic materialsen_US
dc.subjectComplementary Functions Methoden_US
dc.titleDynamic Analysis of Functionally Graded Porous Beams Using Complementary Functions Method in the Laplace Domainen_US
dc.typeArticleen_US

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