Vibration analysis of viscoelastic functionally graded porous nanoshell

Basit Öğe Kaydı
dc.authorid�zbey, Mehmet Bu�ra/0000-0001-6606-0848
dc.contributor.authorZbey, Mehmet Bugra
dc.contributor.authorCalim, Faruk Firat
dc.date.accessioned2026-02-27T07:32:58Z
dc.date.available2026-02-27T07:32:58Z
dc.date.issued2025
dc.description.abstractThis paper presents dynamic analyses for nanoscale shells with various geometries, utilizing linear standard viscoelastic material properties and functionally graded porous materials. The displacements in Cartesian coordinates for FG porous nanoshell are formulated utilizing a stress and strain shape function based on higher order shear deformation theory, which has been previously employed in the literature. The motion's equations are derived through Hamilton principle, incorporating energy expressions of the system. The forces and moments in motion's equations are expressed with nonlocal terms based on Eringen's nonlocal elasticity theory. Navier method, which allows analytical solutions for simply supported conditions, is employed in the analysis. For the dynamic analysis, dynamic distributed load applied to nanoshell is represented as a trigonometric series. To facilitate the solution, displacements are obtained in Laplace domain and subsequently transformed back into time domain. Material properties in the analysis are represented employing linear standard viscoelastic model. In this context, a computational method is developed utilizing Mathematica, and its accuracy is validated by performing a free vibration analysis. The obtained natural frequencies are compared with values from previous studies in the literature to demonstrate the model's reliability. Subsequently, a series of forced vibration analyses are conducted under dynamic distributed loading as part of parametric study on functionally graded porous viscoelastic nanoshell. The influences of different geometries, geometric properties, nanoscale characteristics, material variations, linear standard viscoelastic coefficients, porosity distributions, and porosity on displacements are investigated.
dc.identifier.doi10.12989/anr.2025.18.6.549
dc.identifier.endpage564
dc.identifier.issn2287-237X
dc.identifier.issn2287-2388
dc.identifier.issue6
dc.identifier.startpage549
dc.identifier.urihttp://dx.doi.org/10.12989/anr.2025.18.6.549
dc.identifier.urihttps://hdl.handle.net/20.500.14669/4400
dc.identifier.volume18
dc.identifier.wosWOS:001513753800005
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherTechno-Press
dc.relation.ispartofAdvances In Nano Research
dc.relation.publicationcategoryMakale - Uluslararas� Hakemli Dergi - Kurum ��retim Eleman�
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20260302
dc.subjectEringen's nonlocal elasticity theory
dc.subjectfunctionally graded material
dc.subjectlinear standard viscoelastic model
dc.subjectnanoshell
dc.subjectporous distribution
dc.titleVibration analysis of viscoelastic functionally graded porous nanoshell
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu