Effect of Shear Deformation on Bending of Laminated Composite Beams

1989 ◽  
Vol 111 (2) ◽  
pp. 159-164 ◽  
Author(s):  
F. Gordaninejad ◽  
A. Ghazavi
Keyword(s):  
Finite Element ◽  
Shear Deformation ◽  
Close Agreement ◽  
Mixed Finite Element ◽  
Laminated Composite ◽  
Beam Theory ◽  
Composite Beams ◽  
Closed Form Solutions ◽  
Parabolic Distribution ◽  
Laminated Composite Beams

A higher-order shear deformation beam theory is utilized to analyze the bending of thick laminated composite beams. This theory accounts for parabolic distribution of shear strain through the thickness of the beam. The predicted displacements show improvement over the Bresse-Timoshenko beam theory. Mixed finite element results are obtained for those cases where closed-form solutions are not available. The finite element and exact solutions are in close agreement. Numerical results are presented for single, two and three-layer beams under uniform and sinusoidal distributed transverse loadings.

scholarly journals Flexural Interpretation of Simply Supported Laminated Composite Beam

2020 ◽  
Vol 8 (5) ◽  
pp. 3559-3565
Keyword(s):  
Shear Deformation ◽  
Composite Beam ◽  
Laminated Composite ◽  
Beam Theory ◽  
Composite Beams ◽  
Shear Stresses ◽  
Bending Stress ◽  
Simply Supported ◽  
Laminated Composite Beam ◽  
Laminated Composite Beams

In this Paper, the analysis of simply supported laminated composite beam having uniformly distributed load is performed. The solutions obtained in the form of the displacements and stresses for different layered cross ply laminated composite simply supported beams subjected uniformly distributed to load. Different aspect ratio consider for different results in terms of displacement, bending stress and shear stresses. The shear stresses are calculated with the help of equilibrium equation and constitutive relationship. Using displacement field including trigonometric function of laminated composite beams are derived from virtual displacement principle. There are axial displacement, transverse displacement, bending stress and shear stresses. In addition, Euler-Bernoulli (ETB), First order shear deformation beam theory (FSDT), Higher order shear deformation beam theory (HSDT) and Hyperbolic shear deformation beam theory (HYSDT) solution have been made for comparison and better accuracy of solutions and results of static analyses of laminated composite beams for simply supported laminated composite beam.

FREE VIBRATION ANALYSIS OF CROSS-PLY LAMINATED COMPOSITE BEAMS BY MIXED FINITE ELEMENT FORMULATION

2013 ◽  
Vol 13 (02) ◽  
pp. 1250056 ◽  
Author(s):  
ATİLLA ÖZÜTOK ◽  
EMRAH MADENCİ
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Vibration Analysis ◽  
Mixed Finite Element ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Beam Theory ◽  
Bending Moment ◽  
Vertical Displacement ◽  
Laminated Composite Beams

In this study, a mixed-finite element method for free vibration analysis of cross-ply laminated composite beams is presented based on the "Euler–Bernoulli Beam Theory" and "Timoshenko Beam Theory". The Gâteaux differential approach is employed to construct the functionals of laminated beams using the variational method. By using these functionals in the mixed-type finite element method, two beam elements CLBT4 and FSDT8 are derived for the Euler–Bernoulli and Timoshenko beam theories, respectively. The CLBT4 element has four degrees of freedom (DOFs), containing the vertical displacement and bending moment as unknowns at the nodes, whereas the FSDT8 element has eight DOFs, containing the vertical displacement, bending moment, shear force and rotation as unknowns. A computer program is developed to execute the analyses for the present study. The numerical results of free vibration analyses obtained for different boundary conditions are presented and compared with results available in the literature, which indicates the reliability of the present approach.

scholarly journals Effects of transverse normal strain on bending of laminated composite beams

2018 ◽  
Vol 40 (3) ◽  
pp. 217-232 ◽  
Author(s):  
Trung-Kien Nguyen ◽  
Ngoc-Duong Nguyen
Keyword(s):  
Ritz Method ◽  
Laminated Composite ◽  
Beam Theory ◽  
Composite Beams ◽  
Normal Strain ◽  
Shape Functions ◽  
Height Ratio ◽  
Order Variation ◽  
Transverse Normal Strain ◽  
Laminated Composite Beams

Effect of transverse normal strain on bending of laminated composite beams is proposed in this paper. A Quasi-3D beam theory which accounts for a higher-order variation of both axial and transverse displacements is used to consider the effects of both transverse shear and normal strains on bending behaviours of laminated composite beams. Ritz method is used to solve characteristic equations in which trigonometric shape functions are proposed. Numerical results for different boundary conditions are presented to compare with those from earlier works, and to investigate the effects of thickness stretching, fibre angles, span-to-height ratio and material anisotropy on the displacement and stresses of laminated composite beams.

Vibration Behavior of Laminated Composite Beams Integrated with Magnetorheological Fluid Layer

2016 ◽  
Vol 33 (4) ◽  
pp. 417-425 ◽  
Author(s):  
J. Naji ◽  
A. Zabihollah ◽  
M. Behzad
Keyword(s):  
Shear Strain ◽  
Shear Deformation ◽  
Fluid Layer ◽  
Laminated Composite ◽  
Composite Beams ◽  
Laminated Beams ◽  
Mr Fluid ◽  
Vibration Behavior ◽  
Mr Fluids ◽  
Laminated Composite Beams

AbstractVibration behavior of adaptive laminated composite beams integrated with magnetorheological (MR) fluid layer has been investigated using layerwise displacement theory. In most of the existing studies on the adaptive laminated beams with MR fluids, shear strain across the thickness of magnetorheological (MR) layer has been assumed a constant value, resulting in a constant shear stress in MR layer. However, due to the high shear deformation pattern inside MR layer, this assumption is not adequate to accurately describe the shear strain and stress in MR fluid layer. In this work a modified layerwise theory is employed to develop a Finite Element Model (FEM) formulation to simulate the laminated beams integrated with MR fluids. In the present model, each layer is modeled based on First-order Shear Deformation Theory (FSDT). The inter-laminar stresses between face-layer and MR layer is estimated more precise so FEM results are more accurate. Standard test of ASTM E 756-98 was employed to develop an empirical relationship for the complex shear modulus of MR fluid. Numerical examples have been illustrated the effects of MR fluid layer on the vibration behavior of the laminated beam. An experimental setup has been (FSDT) fabricated for the verification of the results.

Free Vibration of Laminated Composite Beams and Plates Using ADINA Finite Element Code

1995 ◽  
Author(s):  
James Stolte
Keyword(s):  
Finite Element ◽  
Natural Frequency ◽  
Laminated Composite ◽  
Shell Element ◽  
Composite Beams ◽  
Advanced Technology ◽  
Finite Element Code ◽  
First Order ◽  
Natural Frequency Analysis ◽  
Laminated Composite Beams

Abstract Composite materials are being investigated in advanced technology test beds for use in future armored vehicles. We are particularly interested in the response to impulsive loading for which the knowledge of natural frequency behavior is important. In this paper, we investigate the natural frequency analysis capabilities of the multilayered shell element of the ADINA finite element code as applied to laminated composite beams and plates. Results are compared to those published in the literature or those derived from exact solutions. The ADINA shell element employs a first-order shear deformation theory, and the results are found to agree well with other first-order theories. Although ADINA does not allow for a direct method of incorporating a shear correction factor commonly used in first-order theories, it is demonstrated how this can be included by modifying the material properties.

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