Non linear vibrations of stepped beam system under different boundary conditions

Simple item page
dc.contributor.authorÖzkaya E.
dc.contributor.authorTekin A.
dc.date.accessioned2024-07-22T08:22:42Z
dc.date.available2024-07-22T08:22:42Z
dc.date.issued2007
dc.description.abstractIn this study, the nonlinear vibrations of stepped beams having different boundary conditions were investigated. The equations of motions were obtained using Hamilton's principle and made non dimensional. The stretching effect induced non-linear terms to the equations. Forcing and damping terms were also included in the equations. The dimensionless equations were solved for six different set of boundary conditions. A perturbation method was applied to the equations of motions. The first terms of the perturbation series lead to the linear problem. Natural frequencies for the linear problem were calculated exactly for different boundary conditions. Second order non-linear terms of the perturbation series behave as corrections to the linear problem. Amplitude and phase modulation equations were obtained. Non-linear free and forced vibrations were investigated in detail. The effects of the position and magnitude of the step, as well as effects of different boundary conditions on the vibrations, were determined.
dc.identifier.DOI-ID10.12989/sem.2007.27.3.333
dc.identifier.issn12254568
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19192
dc.language.isoEnglish
dc.publisherTechno-Press
dc.subjectBoundary conditions
dc.subjectHamiltonians
dc.subjectPerturbation techniques
dc.subjectProblem solving
dc.subjectStretching
dc.subjectVibration analysis
dc.subjectNonlinear vibrations
dc.subjectPhase modulation equations
dc.subjectStepped beam system
dc.subjectStretching effect
dc.subjectNonlinear systems
dc.titleNon linear vibrations of stepped beam system under different boundary conditions
dc.typeArticle

Files

Collections

Scopus Koleksiyonu