Nonlinear transverse vibrations of a slightly curved beam resting on multiple springs

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dc.contributor.authorÖzkaya E.
dc.contributor.authorSarigül M.
dc.contributor.authorBoyaci H.
dc.date.accessioned2024-07-22T08:12:19Z
dc.date.available2024-07-22T08:12:19Z
dc.date.issued2016
dc.description.abstractIn this study, nonlinear vibrations of a slightly curved beam of arbitrary rise functions is handled in case it rests on multiple springs. The beam is simply supported on both ends and is restricted in longitudinal directions using the supports. Thus, the equations of motion have nonlinearities due to elongations during vibrations. The method of multiple scales (MMS), a perturbation technique, is used to solve the integro-differential equation analytically. Primary and 3 to 1 internal resonance cases are taken into account during steady-state vibrations. Assuming the rise functions are sinusoidal in numerical analysis, the natural frequencies are calculated exactly for different spring numbers, spring coefficients, and spring locations. Frequency-amplitude graphs and frequency-response graphs are plotted by using amplitude-phase modulation equations.
dc.identifier.DOI-ID10.20855/ijav.2016.21.4433
dc.identifier.issn10275851
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15995
dc.language.isoEnglish
dc.publisherInternational Institute of Acoustics and Vibrations
dc.rightsAll Open Access; Bronze Open Access; Green Open Access
dc.subjectControl nonlinearities
dc.subjectCurved beams and girders
dc.subjectDifferential equations
dc.subjectFrequency response
dc.subjectIntegrodifferential equations
dc.subjectPerturbation techniques
dc.subjectPhase modulation
dc.subjectInternal resonance
dc.subjectLongitudinal direction
dc.subjectMethod of multiple scale
dc.subjectModulation equations
dc.subjectNon-linear vibrations
dc.subjectNonlinear transverse vibration
dc.subjectSpring coefficient
dc.subjectSteady state vibrations
dc.subjectEquations of motion
dc.titleNonlinear transverse vibrations of a slightly curved beam resting on multiple springs
dc.typeArticle

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