On the frequency equation of a combined system consisting of a simply supported beam and in-span helical spring-mass with mass of the helical spring considered

dc.contributor.authorGurgoze, M.
dc.contributor.authorCakar, O.
dc.contributor.authorZeren, S.
dc.date.accessioned2026-08-12T17:44:34Z
dc.date.issued2006
dc.departmentFırat Üniversitesi
dc.description.abstractThis study is concerned with the establishment of the frequency equation of a combined system consisting of a simply supported beam and an in-span helical spring-mass, considering the mass of the helical spring. After obtaining the exact frequency equation of the combined system, a Dunkerley-based approximate formula is given for the fundamental frequency. The frequency equation of a simpler system is obtained as a special case. The frequency equations are then numerically solved for various combinations of the physical parameters. Calculated results are also compared with finite element solutions. Further, comparison of the results with the massless spring case reveals the fact that neglecting the mass of the spring can cause considerable errors for some combinations of the physical parameters. (c) 2006 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.jsv.2006.01.027
dc.identifier.endpage449
dc.identifier.issn0022-460X
dc.identifier.issn1095-8568
dc.identifier.issue1.Şub
dc.identifier.orcid0000-0003-2537-3199
dc.identifier.orcid0000-0002-3930-6926
dc.identifier.orcid0000-0001-6947-3875
dc.identifier.scopus2-s2.0-33646796011
dc.identifier.scopusqualityQ1
dc.identifier.startpage436
dc.identifier.urihttps://doi.org/10.1016/j.jsv.2006.01.027
dc.identifier.urihttps://hdl.handle.net/11508/60323
dc.identifier.volume295
dc.identifier.wosWOS:000239078200027
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAcademic Press Ltd- Elsevier Science Ltd
dc.relation.ispartofJournal of Sound and Vibration
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectCantilever Beam
dc.subjectTip Mass
dc.subjectEigenfrequencies
dc.subjectNumber
dc.titleOn the frequency equation of a combined system consisting of a simply supported beam and in-span helical spring-mass with mass of the helical spring considered
dc.typeArticle

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