Free and forced vibration analysis of piezolaminated plates via an isogeometric layerwise finite element

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dc.authoridKefal, Adnan/0000-0002-4139-999X
dc.contributor.authorHasim, K. A.
dc.contributor.authorKefal, A.
dc.date.accessioned2025-01-06T17:44:48Z
dc.date.available2025-01-06T17:44:48Z
dc.date.issued2024
dc.description.abstractIsogeometric layerwise finite element (L-IGA) formulation is a recent state-of-the-art approach integrating Non-Uniform Rational B-spline (NURBS) basis functions into the quasi-static solution process of piezolaminated composite plates. This study extends the application of the L-IGA framework to encompass free, forced vibration, and displacement control analyses of laminated composite plates with straight/curvilinear fibers and piezoelectric layers. To this end, the NURBS basis functions, utilized in geometry definition, are employed to solve electromechanically coupled differential equations following Hamilton's variational principle. The adoption of high-order continuous NURBS shape functions throughout the IGA discretization span both in-plane and through-thickness laminate dimensions. This effectively facilitates precise geometry representation directly from Computer-Aided Design (CAD). Besides, such a discretization accelerates the convergence of displacement and electric potential solution fields toward exact results. Various benchmark problems have been solved to verify the robustness and high accuracy of the proposed dynamic L-IGA method. These include comparative analyses between L-IGA dynamic solutions (i.e. employing the Newmark-Beta method), analytical solutions, and ANSYS-Solid 226 finite element results. All the results are compared across various span-to-thickness ratios, mechanical-potential loading scenarios, and fiber orientation angles. Remarkably, the L-IGA method attains almost excellently accurate time response of various fields (displacement, stress, electric potential) and modal results, with considerably fewer mesh elements than Solid 226 solutions. Overall, such an outcome reveals the high potential and practical merits of the proposed L-IGA formulation as a proficient finite element approach for the dynamic analysis of piezolaminated plates.
dc.description.sponsorshipThe numerical calculations reported in this paper were partially performed at TUBITAK ULAKBIM, High Performance and Grid Computing Center (TRUBA resources).
dc.identifier.doi10.1080/15376494.2024.2400716
dc.identifier.issn1537-6494
dc.identifier.issn1537-6532
dc.identifier.scopus2-s2.0-85204036043
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1080/15376494.2024.2400716
dc.identifier.urihttps://hdl.handle.net/20.500.14669/3177
dc.identifier.wosWOS:001313428100001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Inc
dc.relation.ispartofMechanics of Advanced Materials and Structures
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241211
dc.subjectVibration
dc.subjectpiezoelectric
dc.subjectisogeometric
dc.subjectlayerwise
dc.subjectfinite element
dc.titleFree and forced vibration analysis of piezolaminated plates via an isogeometric layerwise finite element
dc.typeArticle

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