Free and forced vibration analysis of FG-CNTRC viscoelastic plate using high shear deformation theory

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dc.contributor.authorÖzbey, Mehmet Buğra
dc.contributor.authorCuma, Yavuz Çetin
dc.contributor.authorDeneme, İbrahim Özgür
dc.contributor.authorÇalım, Faruk Fırat
dc.date.accessioned2024-07-25T12:09:51Z
dc.date.available2024-07-25T12:09:51Z
dc.date.issued2024
dc.departmentMühendislik Fakültesi
dc.description.abstractThis paper investigates the dynamic behavior of a simply supported viscoelastic plate made of functionally graded carbon nanotube reinforced composite under dynamic loading. Carbon nanotubes are distributed in 5 different shapes: U, V, A, O and X, depending on the shape they form through the thickness of the plate. The displacement fields are derived in the Laplace domain using a higher -order shear deformation theory. Equations of motion are obtained through the application of the energy method and Hamilton's principle. The resulting equations of motion are solved using Navier's method. Transforming the Laplace domain displacements into the time domain involves Durbin's modified inverse Laplace transform. To validate the accuracy of the developed algorithm, a free vibration analysis is conducted for simply supported plate made of functionally graded carbon nanotube reinforced composite and compared against existing literature. Subsequently, a parametric forced vibration analysis considers the influence of various parameters: volume fractions of carbon nanotubes, their distributions, and ratios of instantaneous value to retardation time in the relaxation function, using a linear standard viscoelastic model. In the forced vibration analysis, the dynamic distributed load applied to functionally graded carbon nanotube reinforced composite viscoelastic plate is obtained in terms of double trigonometric series. The study culminates in an examination of maximum displacement, exploring the effects of different carbon nanotube distributions, volume fractions, and ratios of instantaneous value to retardation times in the relaxation function on the amplitudes of maximum displacements.
dc.identifier.doi10.12989/anr.2024.16.4.413
dc.identifier.endpage426en_US
dc.identifier.issn2287-237X
dc.identifier.issn2287-2388
dc.identifier.issue4en_US
dc.identifier.startpage413en_US
dc.identifier.urihttps:/dx.doi.org/10.12989/anr.2024.16.4.413
dc.identifier.urihttps://hdl.handle.net/20.500.12451/12227
dc.identifier.volume16en_US
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherTechno-Press
dc.relation.ispartofAdvances in Nanoparticles
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectForced Vibration Analysis
dc.subjectHigher-order Shear Deformation Theory
dc.subjectLaplace Transform
dc.subjectLinear Standard Viscoelastic Model
dc.subjectPlate
dc.subjectCarbon Nanotube Reinforced Composite (CNTRC)
dc.titleFree and forced vibration analysis of FG-CNTRC viscoelastic plate using high shear deformation theory
dc.typeArticle

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