Flexure Analysis of Laminated Composite and Sandwich Beams Using Timoshenko Beam Theory

Karamanlı, Armağan

doi:10.2339/politeknik.386958

Cited by 3 publications

(3 citation statements)

References 23 publications

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“…Considering the bottom of the T-beam section as the reference plane, the distance of any lamination on the section from the centroid position is expressed as Equation (14).…”

Section: D Flange Normal Stressmentioning

confidence: 99%

“…Nguyen et al [13] proposed a solution to analyze the effects of deflection, stress, natural frequency, and critical buckling load of laminated composite beams in static, buckling, and vibration states. Karamanlı [14] proposed a symmetric smoothed particle hydrodynamics (SSPH) code to study the static behavior of laminated composites and sandwich beams at different boundary conditions. The effects of the fiber angle, layup, and aspect ratio on the mid-span displacement and stress were discussed.…”

Section: Introductionmentioning

confidence: 99%

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Derivation and Verification of Laminated Composite T-Beam Theory

Lyu¹,

Hung

Ay³

et al. 2022

Applied Sciences

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This study analyzes the composite laminated T-beams using the composite beam and laminated composite plate theories. The theoretical formula was derived assuming that the composite T-beam has one- and two-dimensional (1D and 2D) structures. The 1D analysis was performed according to the Kirchhoff-Love hypothesis, thereby considering only the axial strain to derive a relationship between the strain and displacement. The 2D analysis was performed considering the T-beam as a combination of two composite sheets. The effective stiffness of the beam was derived from the stress-strain and moment-curvature relationships. Furthermore, the deflection of the beam and the stress of each laminate were calculated. A simple support beam, made of AS4/3501-6 carbon/epoxy, was used as a composite laminated T-beam. MSC/NASTRAN finite element software was used for analysis. The accuracy of the theoretical formula and limitations of its use was verified using the finite element analysis. Higher accuracy of the theoretical formula was obtained at a composite beam aspect ratio greater than 15. The formula derived in this study is suitable for thin and long beams.

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“…Considering the bottom of the T-beam section as the reference plane, the distance of any lamination on the section from the centroid position is expressed as Equation (14).…”

Section: D Flange Normal Stressmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Derivation and Verification of Laminated Composite T-Beam Theory

Lyu¹,

Hung

Ay³

et al. 2022

Applied Sciences

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“…The finite element methods (FEMs) are the most popular ones for the analysis of composite beams [15][16][17][18][19][20][21][22][23][24][25][26][27][28]. There are few studies related to the flexure analysis of laminated composite and sandwich beams by employing a meshless method [29][30][31][32][33]. As an analytical approach, the Navier solution is the simplest one which can be used only for the solution of the problems with simply supported (SS) boundary condition [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Bending analysis of composite and sandwich beams using Ritz method

Karamanlı¹

2018

ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY a - Applied Sciences and Engineering

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In the present paper, the bending behaviour of laminated composite and sandwich beams subjected to various sets of boundary conditions which are simply supported (SS), clamped-simply supported (CS), clamped-clamped (CC) and clampedfree (CF) are investigated by using the Timoshenko beam theory and the Ritz method. In order to solve the problem, the shape functions for axial, transverse deflections and the rotation of the cross-section are presented in polynomial forms. The validation and convergence studies are performed by solving symmetric and anti-symmetric cross-ply composite beam problems with various boundary conditions and aspect ratios by adding auxiliary functions to the shape functions. The results in terms of mid-span deflections, axial and shear stresses are compared with those from previous studies to validate the accuracy of the present study. The effects of fiber angle, lay-up and aspect ratio on displacements and stresses are studied.

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Mechanical analysis of al/foam composite sandwich panels under elastic and elastoplastic states

Eruslu

2024

European Mechanical Science

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This study performs mechanical analysis for Al/Foam composite sandwich panels under 3-point bending using numerically and experimentally. The flexural rigidity, elastic deflections, and normal, shear stresses are obtained by analytical calculations of the Timoshenko beam equation and compared finite element (FE) models for 3-point bending loading conditions. The FE models are constructed using 2D single-layer shell and 3D solid discrete-layer models. The validity of FE models at the analysis is evaluated for Al/PVC Foam sandwich composites for the elastic state. The experimental bending results of Al/XPS Foam sandwich composites are compared with numerical models at elastic and elastoplastic states. The elastic results indicate that the out-of-plane deflection results agree well across numerical and analytical models. Normal stresses at the core are higher in 3D discrete-layer solid models compared to laminated shell theory-based models for thick plates, due to the more accurate characteristics of the discrete-layer solid models. The Timoshenko beam theory-based analytical bending results show a good correlation with the results from laminated shell theory-based finite element method (FEM) analyses. Elastoplastic FEM analysis indicates that discrete-layer-based 3D solid FEM models effectively predict local effects dependent on indentation failure.

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Flexure Analysis of Laminated Composite and Sandwich Beams Using Timoshenko Beam Theory

Cited by 3 publications

References 23 publications

Derivation and Verification of Laminated Composite T-Beam Theory

Derivation and Verification of Laminated Composite T-Beam Theory

Bending analysis of composite and sandwich beams using Ritz method

Mechanical analysis of al/foam composite sandwich panels under elastic and elastoplastic states

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