Axial-flexural coupled vibration and buckling of composite beams using sinusoidal shear deformation theory

Vo, Thuc P.; Thai, Huu‐Tai

doi:10.1007/s00419-012-0707-4

Cited by 24 publications

(11 citation statements)

References 28 publications

(24 reference statements)

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“…Navier-type closed-form solutions are obtained for simply supported isotropic, laminated composite, and sandwich beams. The results of displacements, stresses, natural frequencies, and critical buckling loads are compared with the theories existing in literature [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58] to demonstrate the accuracy of the proposed theory.…”

Section: Not Consideredmentioning

confidence: 99%

Effect of thickness stretching on the static deformations, natural frequencies, and critical buckling loads of laminated composite and sandwich beams

Sayyad

Ghugal

2018

J Braz. Soc. Mech. Sci. Eng.

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The present study investigates the bending, buckling, and vibration responses of shear deformable laminated composite and sandwich beams using trigonometric shear and normal deformation theory. The most important feature of the present theory is that it includes the effects of transverse shear and normal deformations, i.e., the effect of thickness stretching. Therefore, the theory is also called as a quasi-2D theory. The axial displacement uses sine function in terms of the thickness coordinate to include the effect of transverse shear deformation, and the transverse displacement uses cosine function in terms of the thickness coordinate to include the effect of transverse normal deformation, i.e., the thickness stretching. The present theory satisfies the zero shear stress conditions at top and bottom surfaces of the beam without using shear correction factor. Governing differential equations and associated boundary conditions of the theory are derived by employing the dynamic version of principle of virtual work. Navier-type closed-form solutions are obtained for simply supported boundary conditions. The numerical results are obtained for deflections, stresses, natural frequencies, and critical buckling loads for isotropic, laminated composite, and sandwich beams. Since exact elasticity solutions for laminated composite and sandwich beams are not available in the literature, the results are compared with those obtained by using other higher-order shear deformation theories to demonstrate the accuracy of the proposed theory.

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Section: Not Consideredmentioning

confidence: 99%

Effect of thickness stretching on the static deformations, natural frequencies, and critical buckling loads of laminated composite and sandwich beams

Sayyad

Ghugal

2018

J Braz. Soc. Mech. Sci. Eng.

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“…Vo and Thai [34] and [35] presented the free vibration of axially loaded composite beams with arbitrary lay-ups applying the parabolic shear deformation theory. Based on the sinusoidal shear deformation theory, Vo et al [36]studied the vibration and buckling of composite beams with arbitrary lay-ups. Carrera et al…”

Section: Figure 1 Three Plies With Their Fiber Arranged In Three Diffmentioning

confidence: 99%

Free Vibration Analysis of Composite Laminated Beams

2017

IJERAT

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This study addresses the problem of free vibration of laminated composite beams. Six end boundary conditions for beams are considered: clamped-clamped; hinged-hinged; free-free; clamped-hinged; clamped-free; and hinged-free beams. The problem is analyzed and solved using the energy approach which is formulated by a finite element model. This method of analysis is verified by comparing the numerical results obtained for AS

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“…A certain set of elastic properties is required as input parameters for the finite element code and for the analytical models. The set of properties required as an input parameter at a material level were 13 and v 23 as shown in Table 1; Where 1, 2, and 3 are principal material directions.…”

Section: Materials and Geometrymentioning

confidence: 99%

“…Vo and Thai [11,12] investigated the free vibration of axially loaded composite beams with arbitrary lay-ups using the parabolical shear dreformation theory. Based on the sinusoidal shear dreformation theory, Vo et al [13] developed a finite element model to study the vibration and buckling of composite beams with arbitrary lay-ups.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Fiber Orientation and Laminate Stacking Sequences on the Torsional Natural Frequencies of Laminated Composite Beams

Aly¹

2013

IJRET

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The composite materials are well known by their excellent combination of high structural stiffness and low weight. The main feature of these anisotropic materials is their ability to be tailored for specific applications by optimizing design parameters such as stacking sequence, ply orientation and performance targets. Finding free torsional vibrations characteristics of laminated composite beams is one of the bases for designing and modeling of industrial products. With these requirements, this work considers the free torsional vibrations for laminated composite beams of doubly symmetrical cross sections. The torsional vibrations of the laminated beams are analyzed analytically based on the classical lamination theory, and accounts for the coupling of flexural and torsional modes due to fiber orientation of the laminated beams are neglected. Also, the torsional vibrations of the laminated beams analyzed by shear deformation theory in which the shear deformation effects are considered. Numerical analysis has been carried out using finite element method (FEM). The finite element software package ANSYS 10.0 is used to perform the numerical analyses using an eight-node layered shell element to describe the torsional vibration of the laminated beams. Numerical results, obtained by the ANSYS 10.0, classical lamination theory, and shear deformation theory are presented to highlight the effects of fibers orientation and layers stacking sequence on torsional frequencies of the beams.

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Axial-flexural coupled vibration and buckling of composite beams using sinusoidal shear deformation theory

Cited by 24 publications

References 28 publications

Effect of thickness stretching on the static deformations, natural frequencies, and critical buckling loads of laminated composite and sandwich beams

Effect of thickness stretching on the static deformations, natural frequencies, and critical buckling loads of laminated composite and sandwich beams

Free Vibration Analysis of Composite Laminated Beams

The Effect of Fiber Orientation and Laminate Stacking Sequences on the Torsional Natural Frequencies of Laminated Composite Beams

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