Free Vibration of Laminated Composite Curved Beams using Mixed Finite Element Formulation

Kadıoğlu, Fethi; Iyidogan, Cihan

doi:10.1515/secm.2009.16.4.247

Cited by 8 publications

(4 citation statements)

References 32 publications

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“…Based on the Gâteaux Differential, free vibration of laminated composite curved beams is studied in [22]. In addition, the free vibration analysis of cross-ply and angle-ply laminated composite beams is conducted in [23,24].…”

Section: Introductionmentioning

confidence: 99%

An alternative method for analysing buckling of laminated composite beams

2017

JCE

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In this study, two new functionals are derived based on Gâteaux differential in order to analyse buckling of symmetric cross-ply laminated composite straight beams. The functional comprises four independent variables, i.e. deflection, rotation, shear force and bending moment for Timoshenko beam, and two independent variables, deflection and bending moment, for Euler-Bernoulli beam. The application possibilities and performance of the proposed mixed finite element formulation are presented on several numerical examples. Key words:Gâteaux differential, composite straight beams, mixed finite element formulation, buckling analysis, crossply laminated composite Prethodno priopćenje Gökhan Özkan, Gülçin Tekin, Fethi Kadıoğlu Alternativna metoda za analizu izvijanja lameliranih kompozitnih greda U radu su primjenom Gâteauxove derivacije izvedena dva nova funkcionala kako bi se provela analiza izvijanja simetričnih križno uslojenih ravnih lameliranih kompozitnih greda. Funkcional sadrži četiri nezavisne varijable, a to su progib, rotacija, poprečna sila i moment savijanja za Timošenkovu gredu, te dvije nezavisne varijable, progib i moment savijanja, za Euler-Bernoullijevu gredu. Mogućnost primjene i učinkovitost predložene mješovite formulacije konačnih elemenata prikazana je na nekoliko numeričkih primjera.

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Section: Introductionmentioning

confidence: 99%

An alternative method for analysing buckling of laminated composite beams

2017

JCE

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“…The Gâteaux differential method was first used in [23]. Recently, Aköz and his co-workers have successfully employed the Gâteaux differential method to construct the functional that can be applied to a variety of problems [24][25][26][27][28][29]. The mathematical procedure and advantages of this method are explained in detail in a well-documented study presented in [27].…”

Section: Introductionmentioning

confidence: 99%

Alternativno rješenje za križno uslojene kompozitne debele ploče

2016

JCE

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Alternative solution for cross-ply laminated composite thick platesThe structural analysis of orthotropic and linear elastic cross-ply laminated composite thick plates is made by considering complete effects of transverse shear and normal stresses. The solutions are obtained using the functional analysis method in conjunction with the Gâteaux differential. A new functional with boundary condition terms is developed for the analysis. A four-node serendipity element with eight degrees of freedom is used. To ensure the accuracy of the developed mixed finite element (MFE), numerical results are compared with those of the published solutions. It has been proven that the developed MFE is highly accurate and efficient. Alternativno rješenje za križno uslojene kompozitne debele ploče U radu se opisuje analiza ortotropnih linearnoelastičnih križno uslojenih kompozitnih debelih ploča, pri čemu se u obzir uzima zajedničko djelovanje poprečnih posmičnih i normalnih naprezanja. Rješenja se dobivaju primjenom metoda funkcionalne analize u kombinaciji s Gâteauxovom derivacijom. Za potrebe analize razvijen je novi funkcional sa članovima za rubne uvjete. Primijenjen je serendipity element sa četiri čvora i osam stupnjeva slobode. Kako bi se potvrdila točnost novorazvijenoga mješovitog konačnog elementa , numerički su rezultati uspoređeni s objavljenim rješenjima. Utvrđeno je da je novorazvijeni element izuzetno točan i djelotvoran.

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“…In this study, free vibration analysis of cross-ply laminated composite thick plates is carried out by mixed finite element method based on the Gâteaux differential approach. The Gâteaux differential is applied to elastic, viscoelastic and composite beams [1][2][3][4]. Detail information about Gâteaux differential can be found in the literature [5].…”

Section: Introductionmentioning

confidence: 99%