A general solution procedure for the forced vibrations of a system with cubic nonlinearities: Three-to-one internal resonances with external excitation

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dc.contributor.authorÖzhan, BB
dc.contributor.authorPakdemirli, M
dc.date.accessioned2024-07-18T11:47:16Z
dc.date.available2024-07-18T11:47:16Z
dc.description.abstractA general vibrational model of a continuous system with arbitrary linear and cubic operators is considered. Approximate analytical solutions are found using the method of multiple scales. The primary resonances of the external excitation and three-to-one internal resonances between two arbitrary natural frequencies are treated. The amplitude and phase modulation equations are derived. The steady-state solutions and their stability are discussed. The solution algorithm is applied to two specific problems: (1) axially moving Euler-Bernoulli beam, and (2) axially moving viscoelastic beam. (C) 2010 Elsevier Ltd. All rights reserved.
dc.identifier.issn0022-460X
dc.identifier.other1095-8568
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/3378
dc.language.isoEnglish
dc.publisherACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
dc.subjectSPATIALLY CONTINUOUS SYSTEMS
dc.subjectMOVING VISCOELASTIC BEAMS
dc.subjectPERTURBATION-METHODS
dc.subjectSTABILITY
dc.subjectCONTINUA
dc.subjectMODELS
dc.subjectSPEED
dc.titleA general solution procedure for the forced vibrations of a system with cubic nonlinearities: Three-to-one internal resonances with external excitation
dc.typeArticle

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