Group - Theoretic approach to axially accelerating beam problem

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dc.contributor.authorÖzkaya E.
dc.contributor.authorPakdemirli M.
dc.date.accessioned2024-07-22T08:25:12Z
dc.date.available2024-07-22T08:25:12Z
dc.date.issued2002
dc.description.abstractTransverse vibrations of a beam moving with time dependent axial velocity have been investigated. Analytical solutions of the problem are found using the systematic approach of Lie group theory. Group classification with respect to the arbitrary velocity function has been performed using a newly developed technique of equivalence transformations. From the symmetries of the partial differential equation, the way of deriving exact solutions for the case of arbitrary velocity is shown. Special cases of interest such as constant velocity, harmonically varying velocity and exponentially decaying velocity are investigated in detail. Finally, for a simply supported beam, approximate solutions are presented for the exponentially decaying and harmonically varying cases.
dc.identifier.DOI-ID10.1007/BF01170843
dc.identifier.issn00015970
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20310
dc.language.isoEnglish
dc.subjectBeams and girders
dc.subjectBoundary conditions
dc.subjectMathematical models
dc.subjectMathematical transformations
dc.subjectPartial differential equations
dc.subjectVelocity
dc.subjectAxially accelerating beam problem
dc.subjectEquivalence transformations
dc.subjectLie group theory
dc.subjectVibrations (mechanical)
dc.titleGroup - Theoretic approach to axially accelerating beam problem
dc.typeArticle

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