Dynamic analysis of viscoelastic functionally graded nanoplate

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dc.authoridÖzbey, Mehmet Buğra/0000-0001-6606-0848
dc.contributor.authorOzbey, Mehmet Bugra
dc.contributor.authorCalim, Faruk Firat
dc.date.accessioned2026-02-27T07:32:57Z
dc.date.available2026-02-27T07:32:57Z
dc.date.issued2025
dc.description.abstractIn this article, the dynamic behavior of nanoplates under time-dependent load is investigated, focusing on functionally graded viscoelastic materials and nanoscale effects. Eringen's nonlocal elasticity theory is utilized to examine mechanical response of the nanoplate. Hamilton's principle is utilized to derive the equations of motion, taking into account both kinetic and potential energy aspects. The obtained complex partial differential equations are then solved employing Navier method and provides an efficient way to obtain analytical solutions. The study initially performed a free vibration analysis for functionally graded nanoplate, comparing the obtained results with those available in the literature to validate the developed method. Following this validation, a parametric analysis was conducted to examine the influence of both nonlocal parameter, which accounts for nanoscale effects, and power law exponent governing material gradation on free vibration behavior of functionally graded nanoplate. Finally, as the original contribution of this study, a damped forced vibration analysis was carried out within the scope of the parametric study, investigating the effects of power law exponents, viscoelastic parameters, nonlocal parameters, and various geometric properties on functionally graded viscoelastic nanoplates' the displacement-time relationship and maximum displacements.
dc.identifier.doi10.1080/15397734.2024.2449481
dc.identifier.endpage4383
dc.identifier.issn1539-7734
dc.identifier.issn1539-7742
dc.identifier.issue6
dc.identifier.startpage4359
dc.identifier.urihttp://dx.doi.org/10.1080/15397734.2024.2449481
dc.identifier.urihttps://hdl.handle.net/20.500.14669/4396
dc.identifier.volume53
dc.identifier.wosWOS:001394797500001
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherTaylor & Francis Inc
dc.relation.ispartofMechanics Based Design of Structures and Machines
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20250327
dc.subjectNanoplate
dc.subjectdynamic analysis
dc.subjectKelvin viscoelastic model
dc.subjectfunctionally graded material
dc.subjecthigher order shear deformation theory
dc.titleDynamic analysis of viscoelastic functionally graded nanoplate
dc.typeArticle

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