Mixed series solution for vibration and stability of porous bi-directional functionally graded beams

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dc.authoridTuran, Muhittin/0000-0002-5703-0580
dc.contributor.authorTuran, Muhittin
dc.date.accessioned2024-10-04T18:52:30Z
dc.date.available2024-10-04T18:52:30Z
dc.date.issued2024
dc.departmentBayburt Üniversitesien_US
dc.description.abstractA new analytical solution based on the Ritz method is presented in this paper for analyzing the free vibration and buckling behavior of porous bi-directional functionally graded (2D-FG) beams under various boundary conditions. The solution is based on first-order shear deformation theory (FSDT). The selection of solution functions used in Ritz methods distinguishes the methods from each other and determines the accuracy of the analytical solution. To accurately capture the system's behavior and achieve the desired results, these functions have been carefully selected as a combination of polynomial and trigonometric expressions tailored as mixed series functions for each boundary condition. The study considers three types of porosity, namely PFG-1, PFG-2, and PFG-3. The equations of motion are derived using Lagrange's principle, taking into account the power-law variation of the beam material components throughout the volume. The non-dimensional fundamental frequencies and critical buckling loads are calculated for different boundary conditions, gradation exponents in the x and z directions (p x , p z ), slenderness (L/h), porosity coefficient (e), and porosity types. Initially, the accuracy of the mixed series functions is investigated for non-porous bi-directional functionally graded beams, and the numerical results are compared with existing literature to validate the proposed solution. Subsequently, the paper focuses on analyzing the influence of porosity on the free vibration and buckling behavior of bi-directional functionally graded beams using the developed solution method.en_US
dc.description.sponsorshipBayburt Universityen_US
dc.description.sponsorshipNo Statement Availableen_US
dc.identifier.doi10.1007/s00419-024-02611-8
dc.identifier.endpage1806en_US
dc.identifier.issn0939-1533
dc.identifier.issn1432-0681
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85193958621en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1785en_US
dc.identifier.urihttps://doi.org/10.1007/s00419-024-02611-8
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3491
dc.identifier.volume94en_US
dc.identifier.wosWOS:001229228000002en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofArchive of Applied Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBi-directional functionally graded beamen_US
dc.subjectPorosityen_US
dc.subjectMixed series functionsen_US
dc.subjectFree vibration and bucklingen_US
dc.subjectFirst-order shear deformation theoryen_US
dc.titleMixed series solution for vibration and stability of porous bi-directional functionally graded beamsen_US
dc.typeArticleen_US

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