scholarly journals Vibration Analysis of Inclined Laminated Composite Beams under Moving Distributed Masses

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
E. Bahmyari ◽  
S. R. Mohebpour ◽  
P. Malekzadeh
Keyword(s):  
Degrees Of Freedom ◽  
Equations Of Motion ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Beam Theory ◽  
Composite Beams ◽  
Incline Angle ◽  
Centrifugal Forces ◽  
Coriolis And Centrifugal Forces ◽  
Laminated Composite Beams

The dynamic response of laminated composite beams subjected to distributed moving masses is investigated using the finite element method (FEM) based on the both first-order shear deformation theory (FSDT) and the classical beam theory (CLT). Six and ten degrees of freedom beam elements are used to discretize the CLT and FSDT equations of motion, respectively. The resulting spatially discretized beam governing equations including the effect of inertial, Coriolis, and centrifugal forces due to moving distributed mass are evaluated in time domain by applying Newmark’s scheme. The presented approach is first validated by studying its convergence behavior and comparing the results with those of existing solutions in the literature. Then, the effect of incline angle, mass, and velocity of moving body, layer orientation, load length, and inertial, Coriolis, and centrifugal forces due to the moving distributed mass and friction force between the beam and the moving distributed mass on the dynamic behavior of inclined laminated composite beams are investigated.

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.

scholarly journals Free Vibration Analysis of Curved Laminated Composite Beams with Different Shapes, Lamination Schemes, and Boundary Conditions

Materials ◽  
2020 ◽  
Vol 13 (4) ◽  
pp. 1010 ◽  
Author(s):  
Bin Qin ◽  
Xing Zhao ◽  
Huifang Liu ◽  
Yongge Yu ◽  
Qingshan Wang
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Variational Approach ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Composite Beams ◽  
Arbitrary Boundary ◽  
Correlated Parameters ◽  
Laminated Composite Beams

A general formulation is considered for the free vibration of curved laminated composite beams (CLCBs) with alterable curvatures and diverse boundary restraints. In accordance with higher-order shear deformation theory (HSDT), an improved variational approach is introduced for the numerical modeling. Besides, the multi-segment partitioning strategy is exploited for the derivation of motion equations, where the CLCBs are separated into several segments. Penalty parameters are considered to handle the arbitrary boundary conditions. The admissible functions of each separated beam segment are expanded in terms of Jacobi polynomials. The solutions are achieved through the variational approach. The proposed methodology can deal with arbitrary boundary restraints in a unified way by conveniently changing correlated parameters without interfering with the solution procedure.

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.

STATIC AND DYNAMIC BEHAVIOUR OF LAMINATED COMPOSITE BEAMS

2001 ◽  
Vol 01 (04) ◽  
pp. 545-560 ◽  
Author(s):  
M. A. RAMOS LOJA ◽  
J. INFANTE BARBOSA ◽  
C. M. MOTA SOARES
Keyword(s):  
Cross Sections ◽  
Degrees Of Freedom ◽  
Three Dimensional ◽  
Shear Deformation Theory ◽  
Single Layer ◽  
Laminated Composite ◽  
Element Model ◽  
Composite Beams ◽  
Straight Beam ◽  
Transverse Stresses

A higher order shear deformation theory, assuming a non-linear variation for the displacement field, is used to develop a finite element model to predict static and free vibration behaviour of anisotropic multilaminated thick and thin beams. The model is based on a single-layer Lagrangean four-node straight beam element with fourteen degrees of freedom per node. It considers bending into two orthogonal planes, stretching and twisting to enable three-dimensional analysis of frames. The most common cross sections and symmetric and asymmetric lay-ups are studied. The behaviour of the model is tested on thin and thick isotropic and composite beams. Comparisons show that the model is accurate and versatile. The good performance of the present model is evident on the prediction of displacements, normal and transverse stresses and natural frequencies of thin and thick isotropic or anisotropic beam structures.

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.

Hygrothermal Post-Buckling Analysis of Laminated Composite Beams

2019 ◽  
Vol 11 (01) ◽  
pp. 1950009 ◽  
Author(s):  
Şeref Doğuşcan Akbaş
Keyword(s):  
Fiber Orientation ◽  
Laminated Composite ◽  
Beam Theory ◽  
Nonlinear Problems ◽  
Composite Beams ◽  
Buckling Analysis ◽  
Stacking Sequence ◽  
Shear Beam ◽  
Post Buckling ◽  
Laminated Composite Beams

The main goal in this paper is to make analysis of post-buckling of laminated composite beams under hygrothermal effect. In solution of problem, finite element method is utilized with the first shear beam theory. Total Lagrangian approach is used nonlinear kinematic relations. It is known that post-buckling problems are geometrically nonlinear problems. In nonlinear solution of problem, the Newton–Raphson method is used based on incremental displacement. The novelty in this study is to investigate the hygrothermal post-buckling analysis of laminated composite beams by using total Lagrangian nonlinear approach. The influences of temperature, moisture, fiber orientation angles, stacking sequence of laminas on post-buckling responses of composite laminated beam are illustrated and examined in numerical results. The results show that fiber orientation angles, stacking sequence of laminas play an important role in hygrothermal post-buckling responses of laminated beams. Also, comparison studies are performed with special results of published paper.

Sign in / Sign up

Export Citation Format

Share Document