Nonlinear vibrations and stability analysis of axially moving strings having nonideal mid-support conditions

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dc.contributor.authorYurddas, A
dc.contributor.authorÖzkaya, E
dc.contributor.authorBoyaci, H
dc.date.accessioned2024-07-18T11:46:21Z
dc.date.available2024-07-18T11:46:21Z
dc.description.abstractIn this study, nonlinear vibrations of an axially moving string are investigated. The main difference of this study from other studies is that there is a nonideal support between the opposite sides, which allows small displacements. Nonlinear equations of motion and boundary conditions are derived using Hamilton's principle. Equations of motion and boundary conditions are converted to nondimensional form. Thus, the equations become independent from geometry and material properties. The method of multiple scales, a perturbation technique, is used. A harmonically varying velocity function is chosen for modeling the axial movement. String as a continuous medium is investigated in two regions. Vibrations are investigated for three different cases of the excitation frequency . Stability analysis is carried out for these three cases, and stability boundaries are determined for the principle parametric resonance case. Thus, differences between ideal and nonideal boundary conditions are investigated.
dc.identifier.issn1077-5463
dc.identifier.other1741-2986
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/2665
dc.language.isoEnglish
dc.publisherSAGE PUBLICATIONS LTD
dc.subjectGENERAL-SOLUTION PROCEDURE
dc.subjectFORCED VIBRATIONS
dc.subjectBEAM
dc.subjectRESONANCE
dc.subjectSYSTEM
dc.titleNonlinear vibrations and stability analysis of axially moving strings having nonideal mid-support conditions
dc.typeArticle

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