Effects of End Conditions of Cross-Ply Laminated Composite Beams on Their Dimensionless Natural Frequencies

In this paper, the Ritz-based solutions are developed for the bending, buckling and vibration behaviors of laminated composite beams with arbitrary lay-ups. A quasi-3D theory, which accounts for a higher-order variation of both the axial and transverse displacements, is used to capture the effects of both shear and normal deformations on the behaviors of composite beams. Numerical results for various boundary conditions are presented and compared with existing ones available in the literature. Besides, the effects of fiber angle, span-to-height ratio, material anisotropy and Poisson’s ratio on the displacements, stresses, natural frequencies and buckling loads of the composite beams are investigated.

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Free vibration analysis of industry-driven woven fiber laminated carbon/epoxy composite beams by experimental and numerical approach

Polymers and Polymer Composites ◽

10.1177/09673911211052825 ◽

2021 ◽

Vol 29 (9_suppl) ◽

pp. S1371-S1385

Author(s):

Priyadarshi Das ◽

Shishir K Sahu

Keyword(s):

Free Vibration ◽

Modal Analysis ◽

Natural Frequencies ◽

Epoxy Composite ◽

Research Work ◽

Laminated Composite ◽

Composite Beams ◽

Beam Model ◽

Aspect Ratios ◽

Laminated Composite Beams

The free vibration study of industry-driven woven fibre laminated carbon/epoxy composite beam is addressed through experimental and numerical modal analysis in the present research work. The experimental modal analysis is performed using the vibration Fast Fourier Transform (FFT) analyser and the natural frequencies are realized in the PULSE environment. A linear beam model is simulated in ABAQUS finite element (FE) software, adopting a solid deformable 8-nodded element with five degrees of freedom (DOF) per node from the ABAQUS library for numerical computation of natural frequencies. A satisfactory agreement is achieved between the experimental and numerical results. The effects of ply-orientation, number of plies, lamination scheme and aspect ratios with different boundary conditions on the natural frequencies are studied. The results confirmed that the predicted vibration characteristics of laminated composite beams are sensitive to the adopted parameters for the investigation. The present study will help to understand the dynamic behaviour for laminated composite beams and serve as an experimental benchmark result within the frequency domain.

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Nonlinear Vibration Analysis Of Prebuckling And Postbuckling In Laminated Composite Beams

Archives of Civil Engineering ◽

10.1515/ace-2015-0020 ◽

2015 ◽

Vol 61 (2) ◽

pp. 161-178 ◽

Cited By ~ 3

Author(s):

G. Abdollahzadeh ◽

M. Ahmadi

Keyword(s):

Analytical Solution ◽

Nonlinear Vibration ◽

Vibration Analysis ◽

Nonlinear Vibrations ◽

Natural Frequencies ◽

Oscillation Amplitude ◽

Laminated Composite ◽

Composite Beams ◽

New Methods ◽

Laminated Composite Beams

AbstractIn this stud y, we attempt to analyse free nonlinear vibrations of buckling in laminated composite beams. Two new methods are applied to obtain the analytical solution of the nonlinear governing equation of the problem. The effects of different parameters on the ratio of nonlinear to linear natural frequencies of the beams are studied. These methods give us an agreement with numerical results for the whole range of the oscillation amplitude.

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Use of trigonometric series functions in free vibration analysis of laminated composite beams

Challenge Journal of Structural Mechanics ◽

10.20528/cjsmec.2020.02.002 ◽

2020 ◽

Vol 6 (2) ◽

pp. 61

Author(s):

Muhittin Turan ◽

Volkan Kahya

Keyword(s):

Free Vibration ◽

Trigonometric Series ◽

Vibration Analysis ◽

Natural Frequencies ◽

Laminated Composite ◽

Free Vibration Analysis ◽

Beam Theory ◽

Composite Beams ◽

Layered Composite ◽

End Conditions

In this study, free vibration analysis of layered composite beams is performed by using an analytical method based on trigonometric series. Based on the first-order shear deformation beam theory, the governing equations are derived from the Lagrange’s equations. Appropriate trigonometric series functions are selected to satisfy the end conditions of the beam. Navier-type solution is used to obtain natural frequencies. Natural frequencies are calculated for different end conditions and lamina stacking. It was seen that the slenderness, E11/E22 and fiber angle have a significant effect on natural frequency. The results of the study are quite compatible with the literature.

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