On the eigenfrequencies of a two-part beam-mass system

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dc.contributor.buuauthorÇetin, Sevda Telli
dc.contributor.buuauthorKopmaz, Osman
dc.contributor.departmentUludağ Üniversitesi/Mühendislik Fakültesi/Makina Mühendisliği Bölümü.tr_TR
dc.contributor.researcheridAAG-4708-2019tr_TR
dc.contributor.scopusid6603311475tr_TR
dc.contributor.scopusid7801643721tr_TR
dc.date.accessioned2021-08-16T10:25:20Z
dc.date.available2021-08-16T10:25:20Z
dc.date.issued2002-04-25
dc.description.abstractThe free vibration of beams and rods carrying concentrated (lumped) or distributed mass has been extensively investigated in detail for the last three decades. To have an idea about the subject studied in the relevant literature one can refer to the papers listed at the end of this work. Among the vast number of papers, the following can be mentioned. Chen [1] and Goel [2] studied the eigenfrequencies of beams carrying a concentrated mass. Bhat and Wagner [3], and Bhat and Kulkarni [4] obtained the natural frequencies of a cantilevered beam with a slender tip mass. They showed that the gyroscopic elect of the tip mass on the frequencies must be taken into account when its dimensions are considerable compared with those of the carrying beam. Recently, Chan and Zhang [5] studied the free vibration of a cantilever tube partially"filled with liquid, considering it as a beam with distributed mass.Chanet al. [6], and Chan and Wang [7] investigated the free vibration of simply supported and cantilever beams with distributed mass, using Euler}Bernoulli and Timoshenko beam models respectively. Chanet al. [8] treated the free vibration of a beam with two distributed masses in-span. Low [9] derived the frequency equations of a beam with a concentrated mass in-span under classical boundary conditions. Cutchins [10], Batan and Gurgöze [11]dealt with the longitudinal vibrations of rods carrying a concentrated mass. Gürgöze and Inceoglu [12] studied the axial vibration of an elastic rod with external distributed mass. However, it is observed in these works that a system consisting of a mass carried by two different beam segments has not been treated yet. In this paper, a method is presented to obtain the natural frequencies of such a system as shown in Figure 1, due to its practical importance. The general frequency equation derived in the context of this method can also be used to find the eigenfrequencies of the beams either carrying or not carrying a concentrated mass, and non-uniform, two part beams. However, one should remember that the concept of rigidity is an idealization and a theoretical assumption which will not be valid at higher frequencies any more. Therefore, in order to establish a more realistic model for such a system, the intermediate mass must be considered a highly stiff portion of the entire system instead of assuming it ideally rigid.en_US
dc.identifier.citationKopmaz, O ve Telli, S. (2002). "On the eigenfrequencies of a two-part beam-mass system". Journal of Sound and Vibration, 252(2), 370-384.en_US
dc.identifier.endpage384tr_TR
dc.identifier.issn0022-460X
dc.identifier.issnhttps://www.sciencedirect.com/science/article/pii/S0022460X01937022
dc.identifier.issue2tr_TR
dc.identifier.scopus2-s2.0-0037172109tr_TR
dc.identifier.startpage370tr_TR
dc.identifier.urihttps://doi.org/10.1006/jsvi.2001.3702
dc.identifier.urihttp://hdl.handle.net/11452/21435
dc.identifier.volume252tr_TR
dc.identifier.wos000175766300009tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherAcademic Press Ltd. - Elsevier Science Ltden_US
dc.relation.journalJournal of Sound and Vibrationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDistributed massen_US
dc.subjectFree vibrationen_US
dc.subjectAcousticsen_US
dc.subjectEngineeringen_US
dc.subjectMechanicsen_US
dc.subjectBeams and girdersen_US
dc.subjectBending (deformation)en_US
dc.subjectBoundary conditionsen_US
dc.subjectEigenvalues and eigenfunctionsen_US
dc.subjectElasticityen_US
dc.subjectEquations of motionen_US
dc.subjectMathematical modelsen_US
dc.subjectNatural frequenciesen_US
dc.subjectShafts (machine components)en_US
dc.subjectBeam-mass systemen_US
dc.subjectEigenfrequenciesen_US
dc.subjectVibrations (mechanical)en_US
dc.subject.scopusFree Vibration; Euler-Bernoulli Beams; Transverse Oscillationen_US
dc.subject.wosAcousticsen_US
dc.subject.wosEngineering, mechanicalen_US
dc.subject.wosMechanicsen_US
dc.titleOn the eigenfrequencies of a two-part beam-mass systemen_US
dc.typeLetter
dc.wos.quartileQ1 (Engineering, mechanical)en_US
dc.wos.quartileQ2en_US

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