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

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dc.authoridOzbey, Mehmet Bugra/0000-0001-6606-0848
dc.contributor.authorOzbey, Mehmet Bugra
dc.contributor.authorCuma, Yavuz Cetin
dc.contributor.authorDeneme, Ibrahim Ozgur
dc.contributor.authorCalim, Faruk Firat
dc.date.accessioned2025-01-06T17:36:55Z
dc.date.available2025-01-06T17:36:55Z
dc.date.issued2024
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.endpage426
dc.identifier.issn2287-237X
dc.identifier.issn2287-2388
dc.identifier.issue4
dc.identifier.startpage413
dc.identifier.urihttps://doi.org/10.12989/anr.2024.16.4.413
dc.identifier.urihttps://hdl.handle.net/20.500.14669/2020
dc.identifier.volume16
dc.identifier.wosWOS:001246095900007
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherTechno-Press
dc.relation.ispartofAdvances in Nano Research
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241211
dc.subjectcarbon nanotube reinforced composite (CNTRC)
dc.subjectforced vibration analysis
dc.subjecthigher-order shear deformation theory
dc.subjectLaplace transform
dc.subjectlinear standard viscoelastic model
dc.subjectplate
dc.titleFree and forced vibration analysis of FG-CNTRC viscoelastic plate using high shear deformation theory
dc.typeArticle

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