Vibrations of continuous systems with a general operator notation suitable for perturbative calculations

Simple item page
dc.contributor.authorPakdemirli M.
dc.date.accessioned2024-07-22T08:25:23Z
dc.date.available2024-07-22T08:25:23Z
dc.date.issued2001
dc.description.abstractThe operator notation previously developed to analyze vibrations of continuous systems has been further generalized to model a system with an arbitrary number of coupled differential equations. Linear parts of the equations are expressed with an arbitrary linear differential and/or integral operators, and non-linear parts are expressed with arbitrary quadratic and cubic operators. Equations of motion are solved in their general form using the method of multiple scales, a perturbation technique. The case of primary resonances of the external excitation and one-to-one internal resonances between the natural frequencies of the equations is considered. The algorithm developed is applied to a non-linear cable vibration problem having small sag-to-span ratios. © 2001 Academic Press.
dc.identifier.DOI-ID10.1006/jsvi.2001.3691
dc.identifier.issn0022460X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20376
dc.language.isoEnglish
dc.publisherAcademic Press
dc.subjectAlgorithms
dc.subjectApproximation theory
dc.subjectBoundary conditions
dc.subjectDamping
dc.subjectDifferential equations
dc.subjectIntegral equations
dc.subjectMathematical models
dc.subjectPerturbation techniques
dc.subjectVibration control
dc.subjectInfinite mode analysis
dc.subjectNonlinear systems
dc.titleVibrations of continuous systems with a general operator notation suitable for perturbative calculations
dc.typeArticle

Files

Collections

Scopus Koleksiyonu