Finite element formulation and analysis of a functionally graded Timoshenko beam subjected to an accelerating mass including inertial effects of the mass

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dc.authoridKOC, MEHMET AKIF/0000-0001-7461-9795
dc.authoridEsen, Ismail/0000-0002-7853-1464
dc.contributor.authorEsen, Ismail
dc.contributor.authorKoc, Mehmet Akif
dc.contributor.authorCay, Yusuf
dc.date.accessioned2024-09-29T16:06:23Z
dc.date.available2024-09-29T16:06:23Z
dc.date.issued2018
dc.departmentKarabük Üniversitesien_US
dc.description.abstractThis study describes a new finite element method that can be used to analyse transverse and axial vibrations of a Functionally Graded Material (FGM) beam under an accelerating / decelerating mass. The differential equations of the FGM beam are obtained using First-order Shear Deformation Theory (FSDT). In these equations, the interaction terms of mass inertia are derived from the second-order exact differentiation of displacement functions with respect to mass contact point. The FGM beam is made of two different materials (Steel and Alumina Al2O3), which vary in thickness with a power law. Including the effects of neutral axis shift and mass inertia, the proposed method can be used when the dynamic behaviour of the FGM Timoshenko beams is to be analysed in transverse and axial directions, depending on the interaction with the acceleration of the moving loads. After validating this work with literature studies, new investigations and fmdings are presented for both moving load and mass assumptions. In addition, the obtained results of Timoshenko Beam (TBT) and Euler Bernoulli beam theory (EBT) are compared for FGM beams with various speeds and accelerations of moving mass.en_US
dc.identifier.doi10.1590/1679-78255102
dc.identifier.issn1679-7825
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85055048766en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1590/1679-78255102
dc.identifier.urihttps://hdl.handle.net/20.500.14619/6807
dc.identifier.volume15en_US
dc.identifier.wosWOS:000446085800006en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherLatin Amer J Solids Structuresen_US
dc.relation.ispartofLatin American Journal of Solids and Structuresen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFGM beamsen_US
dc.subjectFinite elementen_US
dc.subjectmoving loaden_US
dc.subjectmass inertiaen_US
dc.subjectacceleratingen_US
dc.titleFinite element formulation and analysis of a functionally graded Timoshenko beam subjected to an accelerating mass including inertial effects of the massen_US
dc.typeArticleen_US

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