Transient analysis of functionally graded axisymmetric plates via finite element method in the Laplace domain

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dc.authoridhttps://orcid.org/0000-0001-6232-6303
dc.contributor.authorDoori, Silda Ghazi Mohammed
dc.contributor.authorNoori, Ahmad Reshad
dc.date.accessioned2025-05-27T12:18:24Z
dc.date.available2025-05-27T12:18:24Z
dc.date.issued2024
dc.departmentSağlık Bilimleri Fakültesi
dc.description.abstractThe principal goal of this research article is to examine the forced vibration of Functionally Graded Material (FGM) axisymmetric plates with the aid of the finite element method in the Laplace space. The material properties are assumed to be isotropic, linear viscoelastic, or elastic and vary continuously in the direction of the thickness of the plate. The governing equations of motion are transferred to the Laplace domain and solved for a set of Laplace parameters. Then, a modified Durbin’s inverse Laplace method is employed to retransfer the obtained results back to the time domain. A convergence analysis is conducted to optimize the number of Laplace parameters and time steps. An 8-node quadratic quadrilateral element featuring two degrees of freedom per node is employed to generate the model of the axisymmetric plates. Different loads such as step load, square wave, and sawtooth wave loads are used to observe the impact of load type on the transient response of FGM plates. In viscoelastic analysis, the Kelvin damping model is preferred, and the effect of the damping ratio is investigated. The obtained results are validated with the aid of the available literature and the accuracy of the suggested model is confirmed. It is carried out that the material variation significantly affects the dynamic behavior of the plates, for instance as the material coefficient increases, displacement amplitudes decrease, and periods increase. The novelty of this paper is the employment of the finite element method together with Laplace transformation for addressing the present class of problems for the first time.
dc.identifier.doihttps://doi.org/10.1080/15397734.2024.2427708
dc.identifier.endpage3395
dc.identifier.issn1539-7734
dc.identifier.issn1539-7742
dc.identifier.issue5
dc.identifier.startpage3369
dc.identifier.urihttps://hdl.handle.net/11363/9834
dc.identifier.volume53
dc.identifier.wos001355381400001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.institutionauthorDoori, Silda Ghazi Mohammed
dc.institutionauthoridhttps://orcid.org/0000-0001-6232-6303
dc.language.isoen
dc.publisherTAYLOR & FRANCIS INC, 530 WALNUT STREET, STE 850, PHILADELPHIA, PA 19106
dc.relation.ispartofMECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectAxisymmetric plates
dc.subjectfunctionally graded materials
dc.subjectforced vibration
dc.subjectfinite element method
dc.subjectLaplace transforms
dc.subjectKelvin damping
dc.titleTransient analysis of functionally graded axisymmetric plates via finite element method in the Laplace domain
dc.typeArticle

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