Nonlinear vibrations of axially moving multi-supported strings having non-ideal support conditions

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dc.contributor.authorYurddas, A
dc.contributor.authorÖzkaya, E
dc.contributor.authorBoyaci, H
dc.date.accessioned2024-07-18T11:39:44Z
dc.date.available2024-07-18T11:39:44Z
dc.description.abstractIn this study, nonlinear vibrations of an axially moving multi-supported string have been investigated. The main difference of this study from the others is in that there are non-ideal supports allowing minimal deflections between ideal supports at both ends of the string. Nonlinear equations of the motion and boundary conditions have been obtained using Hamilton's Principle. Dependence of the equations of motion and boundary conditions on geometry and material of the string have been eliminated by non-dimensionalizing. Method of multiple scales, a perturbation technique, has been employed for solving the equations of motion. Axial velocity has been assumed a harmonically varying function about a constant value. Axially moving string has been investigated in three regions. Vibrations have been examined for three different cases of the velocity variation frequency. Stability has been analyzed and stability boundaries have been established for the principal parametric resonance case. Effects of the non-ideal support conditions on stability boundaries and vibration amplitudes have been investigated.
dc.identifier.issn0924-090X
dc.identifier.other1573-269X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/1864
dc.language.isoEnglish
dc.publisherSPRINGER
dc.subjectSTEADY-STATE RESPONSE
dc.subjectTRANSVERSE VIBRATIONS
dc.subjectPERTURBATION-METHODS
dc.subjectSTABILITY
dc.subjectBEAM
dc.subjectDISCRETIZATION
dc.subjectEQUATION
dc.titleNonlinear vibrations of axially moving multi-supported strings having non-ideal support conditions
dc.typeArticle

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