Free vibrations of a mass grounded by linear and nonlinear springs in series

dc.contributor.buuauthorTelli, Sevda
dc.contributor.buuauthorKopmaz, Osman
dc.contributor.departmentUludağ Üniversitesi/Mühendislik Fakültesi/Makine Mühendisliği Bölümü.tr_TR
dc.contributor.researcheridAAG-4708-2019tr_TR
dc.contributor.scopusid7801643721tr_TR
dc.contributor.scopusid6603311475tr_TR
dc.date.accessioned2021-09-07T05:27:36Z
dc.date.available2021-09-07T05:27:36Z
dc.date.issued2006-02-07
dc.description.abstractIn many technical applications spring-like flexible elements or real springs connected in series are used. The operation range of these components determines whether the system behaviour has a linear or nonlinear characteristic. In the relevant literature, there exists the knowledge how the equivalent spring is obtained for linear springs connected serially. However, some cases occur in which one linear and one nonlinear spring arranged in series are used. In such cases, it is not possible to define an equivalent spring rate. This study is concerned with such a system that consists of a mass grounded two springs, one of them linear and the other nonlinear. Two methods are developed to analyze the dynamic behaviour of system. One method makes use of a set of differential-algebraic equations (DAE in short). The other is based on getting a single equation of motion using relative displacement variables. For the second method, analytical solutions are also obtained by means of the Lindstedt and the harmonic balance techniques. It is observed, that numerical and analytical solutions found for both methods are in very good agreement when v(0) <= 1 and 0.1 <= xi <= 10 where v(0) is the initial deflection of nonlinear spring and xi is the ratio of linear portion coefficient of the nonlinear spring to that of the linear spring.en_US
dc.identifier.citationTelli, S. ve Kopmaz, O. (2006). ''Free vibrations of a mass grounded by linear and nonlinear springs in series''. Journal of Sound and Vibration, 289(4-5), 689-710.tr_TR
dc.identifier.endpage710tr_TR
dc.identifier.issn0022-460X
dc.identifier.issn1095-8568
dc.identifier.issue4-5tr_TR
dc.identifier.scopus2-s2.0-33644517521tr_TR
dc.identifier.startpage689tr_TR
dc.identifier.urihttps://doi.org/10.1016/j.jsv.2005.02.018
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0022460X05001549
dc.identifier.urihttp://hdl.handle.net/11452/21713
dc.identifier.volume289tr_TR
dc.identifier.wos000233988900002tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherAcademic Pressen_US
dc.relation.journalJournal of Sound and Vibrationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMechanicsen_US
dc.subjectEngineeringen_US
dc.subjectAcousticsen_US
dc.subjectAlgebraen_US
dc.subjectDifferential equationsen_US
dc.subjectElectric groundingen_US
dc.subjectEquations of motionen_US
dc.subjectNonlinear control systemsen_US
dc.subjectSprings (components)en_US
dc.subjectEquivalent spring rateen_US
dc.subjectHarmonic balance techniquesen_US
dc.subjectVibrations (mechanical)en_US
dc.subject.scopusNonlinear Oscillator; Harmonic Balance; Homotopy Perturbation Methoden_US
dc.subject.wosMechanicsen_US
dc.subject.wosEngineering, mechanicalen_US
dc.subject.wosAcousticsen_US
dc.titleFree vibrations of a mass grounded by linear and nonlinear springs in seriesen_US
dc.typeArticle
dc.wos.quartileQ2en_US

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