Stability of fluid conveying nanobeam considering nonlocal elasticity

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dc.contributor.authorBağdatli S.M.
dc.contributor.authorTogun N.
dc.date.accessioned2024-07-22T08:10:22Z
dc.date.available2024-07-22T08:10:22Z
dc.date.issued2017
dc.description.abstractIn this study, the nonlocal Euler–Bernoulli beam theory is employed in the vibration and stability analysis of a nanobeam conveying fluid. The nanobeam is assumed to be traveling with a constant mean velocity along with a small harmonic fluctuation. In the considered analysis, the effects of the small-scale of the nanobeam are incorporated into the equations. By utilizing Hamilton's principle, the nonlinear equations of motion including stretching of the neutral axis are derived. Damping effect is considered in the analysis. The closed form approximate solution of nonlinear equations is solved by using the multiple scale method, a perturbation technique. The effects of the different value of the nonlocal parameters, mean speed value and ratios of fluid mass to the total mass as well as effects of the simple–simple and clamped–clamped boundary conditions on the linear and nonlinear frequencies, stability, frequency–response curves and bifurcation point are presented numerically and graphically. The solvability conditions are obtained for the three distinct cases of velocity fluctuation frequency. For all cases, the stability areas of system are constructed analytically. © 2017 Elsevier Ltd
dc.identifier.DOI-ID10.1016/j.ijnonlinmec.2017.06.004
dc.identifier.issn00207462
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15208
dc.language.isoEnglish
dc.publisherElsevier Ltd
dc.subjectConvergence of numerical methods
dc.subjectElasticity
dc.subjectEquations of motion
dc.subjectNanowires
dc.subjectNonlinear analysis
dc.subjectPerturbation techniques
dc.subjectStability
dc.subjectVibration analysis
dc.subjectBernoulli beam theory
dc.subjectConveying fluids
dc.subjectMultiple scale method
dc.subjectNon-local elasticities
dc.subjectPerturbation method
dc.subjectSolvability conditions
dc.subjectVelocity fluctuations
dc.subjectVibration
dc.subjectNonlinear equations
dc.titleStability of fluid conveying nanobeam considering nonlocal elasticity
dc.typeArticle

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