Vibration analysis of a Timoshenko beam carrying 3D tip mass by using differential transform method

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dc.contributor.authorKatı Doğanay, Hilal
dc.contributor.authorGokdag, Hakan
dc.date.accessioned2021-03-20T20:13:21Z
dc.date.available2021-03-20T20:13:21Z
dc.date.issued2018
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, Makine Mühendisliği Bölümüen_US
dc.description.abstractDynamic behaviour of beam carrying masses has attracted attention of many researchers and engineers. Many studies on the analytical solution of beam with concentric tip mass have been published. However, there are limited works on vibration analysis of beam with an eccentric three dimensional object. In this case, bending and torsional deformations of beam are coupled due to the boundary conditions. Analytical solution of equations of motion of the system is complicated and lengthy. Therefore, in this study, Differential Transform Method (DTM) is applied to solve the relevant equations. First, the Timoshenko beam with 3D tip attachment whose centre of gravity is not coincident with beam end point is considered. The beam is assumed to undergo bending in two orthogonal planes and torsional deformation about beam axis. Using Hamilton's principle the equations of motion of the system along with the possible boundary conditions are derived. Later DTM is applied to obtain natural frequencies and mode shapes of the system. According to the relevant literature DTM has not been applied to such a system so far. Moreover, the problem is modelled by Ansys, the well-known finite element method, and impact test is applied to extract experimental modal data. Comparing DTM results with finite element and experimental results it is concluded that the proposed approach produces accurate results.en_US
dc.identifier.doi10.12989/sem.2018.65.4.381en_US
dc.identifier.endpage388en_US
dc.identifier.issn1225-4568
dc.identifier.issn1598-6217
dc.identifier.issue4en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage381en_US
dc.identifier.urihttp://doi.org/10.12989/sem.2018.65.4.381
dc.identifier.urihttps://hdl.handle.net/20.500.12885/848
dc.identifier.volume65en_US
dc.identifier.wosWOS:000429347500003en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKatı Doğanay, Hilal
dc.language.isoenen_US
dc.publisherTechno-Pressen_US
dc.relation.ispartofStructural Engineering And Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectdifferential transform method (DTM)en_US
dc.subjectbending and torsional vibrationen_US
dc.subjecttip massen_US
dc.subjectTimoshenko beamen_US
dc.subjectnatural frequenciesen_US
dc.subjectmode shapesen_US
dc.titleVibration analysis of a Timoshenko beam carrying 3D tip mass by using differential transform methoden_US
dc.typeArticleen_US

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