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.accessioned2024-07-18T11:39:23Z
dc.date.available2024-07-18T11:39:23Z
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. (C) 2003 Elsevier Ltd. All rights reserved.
dc.identifier.issn0022-460X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/1578
dc.language.isoEnglish
dc.publisherACADEMIC PRESS LTD ELSEVIER SCIENCE LTD
dc.subjectSPATIALLY CONTINUOUS SYSTEMS
dc.subjectPERTURBATION-METHODS
dc.subjectBEAM EQUATION
dc.subjectVIBRATIONS
dc.subjectDISCRETIZATION
dc.titleThree-to-one internal resonances in a general cubic non-linear continuous system
dc.typeArticle

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