Vibration analysis of cross-ply laminated square plates with general boundary conditions

Aydoğdu, Metin; Timarci, Taner

doi:10.1016/s0266-3538(03)00016-2

Cited by 54 publications

(20 citation statements)

References 18 publications

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“…To compare the solutions the results of Karami [20] and Aydogdu et al [9] are also cited. Using only eleven grid points, the results agree with those of Karami and Aydogdu et al It is obvious that by increasing the number of grid points, the accuracy of the results will be increased.…”

Section: Cross-ply Laminatesmentioning

confidence: 99%

Free vibration analysis of laminated composite plates with elastically restrained edges using FEM

Sharma

Mittal

2013

Open Engineering

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Abstract:The application of FEM is shown for free vibration analysis of moderately thick laminated composite plates with edges elastically restrained against translation and rotation. The governing equations employed are based on the first order shear deformation theory including the effects of rotary inertia. Several combinations of translational and rotational elastic edge constraints are considered. Convergence study with respect to the number of nodes has been carried out and the results are compared with those from past investigations available only for simpler problems. Angle-ply and cross-ply laminates with different thickness-to-length ratios are examined. Comparisons are made with results for thin as well as moderately thick laminated plates.

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Section: Cross-ply Laminatesmentioning

confidence: 99%

Free vibration analysis of laminated composite plates with elastically restrained edges using FEM

Sharma

Mittal

2013

Open Engineering

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“…Effects of plate geometry, lamination scheme, degree of orthotropy and delamination size or position on dynamic characteristics of the plate are presented. Aydogdu and Timarchi (2003) investigated the vibration analysis of cross-ply laminated square plates based on PSDPT with general boundary conditions. Sharma and Mittal (2010 studied the free vibration analysis of laminated composite plates with elastically restrained edges by applying FEM.…”

Section: Introductionmentioning

confidence: 99%

Study of free vibration analysis of laminated composite plates with triangular cutouts

Bhardwaj¹,

Vimal²,

Sharma³

2015

10.5267/j.esm

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Cutouts are commonly used as access port for mechanical and electrical structures. Most of the structures generally work under severe dynamic loading and different constrained conditions during their service life. This may lead to vibration of the structure. Therefore, it is necessary to predict the vibration responses of laminated composite plates with cutouts precisely with less computational cost and good accuracy of these complex structures. A suitable finite element model is proposed and developed based on first order shear deformation theory using ANSYS parametric design language (APDL) code. The model has been discretized using an appropriate eight nodded element (SHELL 281) from the ANSYS element library. The free vibrations are computed using Block-Lanczos algorithm. The convergence study has been done of the developed model and compared with those available published literature. Effects of different geometric parameters (aspect ratio, thickness ratio, boundary conditions, number of layers, angle of lamina geometry of cutout, cutout side to plate side ratio and distance between cutouts) and material properties on the free vibration responses are discussed in detail. The frequency increases with increase in the number of layers, modulus ratio of plate and angle of lamina. The frequency decreases with increase in aspect ratio, thickness ratio, size of cutout and distance between cutouts. The boundary conditions of the plate play an important role in the free vibrations of the plate with cutouts. The Non-dimensional frequencies are higher for fully clamped boundary condition in comparison to other boundary conditions.

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“…The first dealt with the analytical and experimental determination of natural frequencies of delaminated composite beam while the second one undertook a finite element free vibration analysis of the delaminated composite cantilever beam and plate. Rebière and Gamby [2004] employed a variational approach to model the behavior of composite cross-ply laminates damaged by transverse and longitudinal cracking and delamination, while Aydogdu and Timarci [2003] and Tripathi et al [2007] studied the free-vibration behavior of a delaminated composite employing the finite element method. Lee et al [2002] carried out the vibration analysis of a twisted cantilevered conical composite shell using a finite element method based on the Hellinger-Reissner principle, again for single and multiple delaminations.…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of bending-stiff composite conical shells with multiple delamination

Dey

Karmakar

2012

J. Mech. Mater. Struct.

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This paper presents a finite element method to investigate the effects of multiple delaminations on the free-vibration characteristics of graphite-epoxy bending-stiff composite pretwisted shallow conical shells. (We call bending-stiff a laminate configuration having maximum stiffness for the spanwise first bending mode.) The generalized dynamic equilibrium equation is derived from Lagrange's equation of motion neglecting the Coriolis effect for moderate rotational speeds. An eight-noded isoparametric plate bending element is employed in the finite element formulation incorporating rotary inertia and the effects of transverse shear deformation based on Mindlin theory. A multipoint constraint algorithm is utilized to ensure the compatibility of deformation and equilibrium of resultant forces and moments at the delamination crack front. The standard eigenvalue problem is solved by applying the QR iteration algorithm. Finite element codes are developed to obtain numerical results concerning the effects of twist angle and rotational speed on the natural frequencies of multiple delaminated bending-stiff composite conical shells. The mode shapes are also depicted for a typical laminate configuration. The numerical results obtained for comparison of single and multiple delaminated bending-stiff composite laminates are the first known nondimensional natural frequencies under the combined effect of rotation and twist for the type of analyses carried out here.

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Vibration analysis of cross-ply laminated square plates with general boundary conditions

Cited by 54 publications

References 18 publications

Free vibration analysis of laminated composite plates with elastically restrained edges using FEM

Free vibration analysis of laminated composite plates with elastically restrained edges using FEM

Study of free vibration analysis of laminated composite plates with triangular cutouts

Finite element analysis of bending-stiff composite conical shells with multiple delamination

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