Stability Analysis of Principal Parametric Resonance of Viscoelastic Pipes by Using Multiple Time Scales

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dc.contributor.authorSınır, Ruşen
dc.contributor.authorSınır, Berra Gultekin
dc.date.accessioned2026-02-28T12:43:10Z
dc.date.available2026-02-28T12:43:10Z
dc.date.issued2019
dc.departmentBayburt Üniversitesi
dc.description.abstractThis study investigates the transverse vibrations taking place tensioned viscoelastic pipes conveying fluid with time-dependent velocity taking into account simple supports condition. The governing equation is derived from Newton's second law, Boltzmann's superposition principle, and the stress-strain relation given for Maxwell viscoelastic model. The time-dependent velocity is assumed to vary harmonically about mean velocity. This system experiences a Coriolis acceleration component which renders such systems gyroscopic. The equation of motion is solved using the multiple time scale method. Principal parametric resonance is investigated. Stability boundaries are determined analytically. It is demonstrated that instabilities occur when the frequency of velocity fluctuations is close to two times the natural frequency of the system with constant velocity or when the frequency is close to the sum of any two natural frequencies.
dc.description.abstractThis study investigates the transverse vibrations taking place tensioned viscoelastic pipes conveying fluid with time-dependent velocity taking into account simple supports condition. The governing equation is derived from Newton's second law, Boltzmann's superposition principle, and the stress-strain relation given for Maxwell viscoelastic model. The time-dependent velocity is assumed to vary harmonically about mean velocity. This system experiences a Coriolis acceleration component which renders such systems gyroscopic. The equation of motion is solved using the multiple time scale method. Principal parametric resonances is investigated. Stability boundaries are determined analytically. It is demonstrated that instabilities occur when the frequency of velocity fluctuations is close to two times the natural frequency of the system with constant velocity or when the frequency is close to the sum of any two natural frequencies.
dc.identifier.endpage112
dc.identifier.issn2667-579X
dc.identifier.issue1
dc.identifier.startpage104
dc.identifier.urihttps://hdl.handle.net/20.500.12403/7967
dc.identifier.volume2
dc.language.isoen
dc.publisherBayburt University
dc.relation.ispartofBayburt Üniversitesi Fen Bilimleri Dergisi
dc.relation.ispartofBayburt Üniversitesi Fen Bilimleri Dergisi
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20260218
dc.subjectCivil Engineering
dc.subjectİnşaat Mühendisliği
dc.titleStability Analysis of Principal Parametric Resonance of Viscoelastic Pipes by Using Multiple Time Scales
dc.title.alternativeStability analysis of principal parametric resonance of viscoelastic pipes by using multiple time scales
dc.typeArticle

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