Vibrations of a beam-mass systems using artificial neural networks

Simple item page
dc.contributor.authorKarlik B.
dc.contributor.authorÖzkaya E.
dc.contributor.authorAydin S.
dc.contributor.authorPakdemirli M.
dc.date.accessioned2024-07-22T08:25:49Z
dc.date.available2024-07-22T08:25:49Z
dc.date.issued1998
dc.description.abstractThe nonlinear vibrations of an Euler-Bernoulli beam with a concentrated mass attached to it are investigated. Five different sets of boundary conditions are considered. The transcendental equations yielding the exact values of natural frequencies are presented. Using the Newton-Raphson method, natural frequencies are calculated for different boundary conditions, mass ratios and mass locations. The corresponding nonlinear correction coefficients are also calculated for the fundamental mode. The calculated natural frequencies and nonlinear corrections are used in training a multi-layer, feed-forward, backpropagation artificial neural network (ANN) algorithm. The algorithm produces results within 0.5 and 1.5% error limits for linear and nonlinear cases, respectively. By employing the ANN algorithm, computational time is drastically reduced compared with the conventional numerical techniques. © 1998 Published by Elsevier Science Ltd. All rights reserved.
dc.identifier.DOI-ID10.1016/S0045-7949(98)00126-6
dc.identifier.issn00457949
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20606
dc.language.isoEnglish
dc.publisherElsevier Ltd
dc.subjectAlgorithms
dc.subjectBackpropagation
dc.subjectBoundary conditions
dc.subjectFeedforward neural networks
dc.subjectMultilayer neural networks
dc.subjectNumerical methods
dc.subjectVibrations (mechanical)
dc.subjectBeam-mass systems
dc.subjectEuler-Bernoulli beam
dc.subjectNewton-Raphson method
dc.subjectBeams and girders
dc.titleVibrations of a beam-mass systems using artificial neural networks
dc.typeArticle

Files

Collections

Scopus Koleksiyonu