Non-linear vibration of nanobeams with various boundary condition based on nonlocal elasticity theory

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dc.contributor.authorBagdatli, SM
dc.date.accessioned2024-07-18T11:39:18Z
dc.date.available2024-07-18T11:39:18Z
dc.description.abstractIn this study, nonlinear vibrations of Euler-Bernoulli nanobeams with various supports condition is investigated. The non-linear equations of motion including stretching of the neutral axis are derived. Forcing and damping effects are included in the analysis. Exact solutions for the mode shapes and frequencies are obtained for the linear part of the problem. For the non-linear problem approximate solutions using perturbation technique is applied to the equations of motion. The different of support cases are investigated and the cases analyzed in detail. The method of multiple time scale that is a perturbation technique is applied to the equations of motion. Natural frequencies and mode shapes for the linear problem are found for the nanobeam. Nonlinear frequencies are calculated; amplitude and phase modulation figures are presented for different cases. Frequency-response curves are drawn. (C) 2015 Elsevier Ltd. All rights reserved.
dc.identifier.issn1359-8368
dc.identifier.other1879-1069
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/1556
dc.language.isoEnglish
dc.publisherELSEVIER SCI LTD
dc.subjectWALLED CARBON NANOTUBES
dc.subjectWAVE-PROPAGATION
dc.subjectFORCED VIBRATION
dc.subjectTIMOSHENKO NANOBEAMS
dc.subjectCONTINUUM-MECHANICS
dc.subjectBEAM THEORY
dc.subjectMODELS
dc.subjectSURFACE
dc.titleNon-linear vibration of nanobeams with various boundary condition based on nonlocal elasticity theory
dc.typeArticle

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