Three-to-one internal resonances in a general cubic non-linear continuous system

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dc.contributor.authorPakdemirli M.
dc.contributor.authorÖzkaya E.
dc.date.accessioned2024-07-22T08:24:43Z
dc.date.available2024-07-22T08:24:43Z
dc.date.issued2003
dc.description.abstractA general continuous system with an arbitrary cubic non-linearity is considered. The non-linearity is expressed in terms of an arbitrary cubic operator. Three-to-one internal resonance case is considered. A general approximate solution is presented for the system. Amplitude and phase modulation equations are derived. Steady state solutions and their stability are discussed in the general sense. The sufficiency condition for such resonances to occur is derived. Finally the algorithm is applied to a beam resting on a non-linear elastic foundation.
dc.identifier.DOI-ID10.1016/S0022-460X(03)00364-X
dc.identifier.issn0022460X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20087
dc.language.isoEnglish
dc.publisherAcademic Press
dc.subjectAlgorithms
dc.subjectApproximation theory
dc.subjectAsymptotic stability
dc.subjectBeams and girders
dc.subjectBoundary conditions
dc.subjectEquations of motion
dc.subjectMathematical models
dc.subjectNonlinear systems
dc.subjectAmplitude modulation equation
dc.subjectNonlinear continuous system
dc.subjectPhase modulation equation
dc.subjectThree-to-one internal resonance
dc.subjectResonance
dc.titleThree-to-one internal resonances in a general cubic non-linear continuous system
dc.typeArticle

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