Axisymmetric postbuckling of orthotropic thick annular plates

Dumir, P.C.; Shingal, L.

doi:10.1007/bf01177120

Cited by 12 publications

(4 citation statements)

References 8 publications

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“…Rarely, they concern annular plates under lateral loads variable in time and plate structures where damping properties of the layer material is taken into account. A wide range of possible applications of annular layered plates in aerospace industry, mechanical and nuclear engineering presented in works by Dumir and Shingal (1985), Paydar (1990), Chen et al (2006), Wang and Chen (2004) causes the evaluation of dynamic behaviour of such complex composite plates still important.…”

Section: Introductionmentioning

confidence: 99%

Dynamic behaviour of three-layered annular plates with viscoelastic core under lateral loads

Pawlus

2015

jtam

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This paper presents the dynamic behaviour of three-layered, annular plates with a linear viscoelastic core. The annular plate is loaded in plane of facings with variable in time forces acting on the inner or outer plate edges. The analysed plate structure is symmetric and composed of three-layers: thin facings and a thicker, soft core. The core material is considered as linear with viscoelastic properties. Analytical and numerical solution will be presented including the wavy forms of dynamic loss of plate stability. In the analytical and numerical solution, two approximation methods: orthogonalization and finite difference have been applied to obtain the system of differential equations for the analysed problem of dynamic deflections of the examined plate with the viscoelastic core. Additionally, the suitable plate model using the finite element method has been built. The numerical calculations carried out in ABAQUS system show the results which are compatible with those obtained for the analytical and numerical solution. Presented in figures time histories of plate deflections and velocity of deflections as well as buckling forms of the plate model show the dynamic response of the examined plate on time-dependent loads and core material properties.

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Section: Introductionmentioning

confidence: 99%

Dynamic behaviour of three-layered annular plates with viscoelastic core under lateral loads

Pawlus

2015

jtam

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“…Plates are analyzed with "E F /E P "1, 3, 10, 1/3, having the greater in-plane Poisson ratio of 0)25 and G PX /E "0)4. The buckling and postbuckling loads of thick polar orthotropic annular plate with b/a"0)4 are compared in Table 1 with those obtained using orthogonal point collocation method of reference [6]. All the present results for the isotropic case are obtained using "1)01.…”

Section: Tablementioning

confidence: 97%

“…Galerkin solutions using one-term spatial mode shape for de#ection, are presented by Sathyamoorthy [3,4] for non-linear vibration of circular thick plates, employing "rst order shear deformation theory and Berger's approximation. Dumir and Shingal [5,6] have presented geometrically non-linear static, transient and postbuckling analysis of thick annular plates, employing orthogonal point collocation method. Neetha et al [7] have developed postbuckling analysis of a moderately thick elastic annular plate using the "nite-element method.…”

Section: Introductionmentioning

confidence: 99%

Geometrically Non-Linear Analysis of a Thick Annular Plate With Elastically Constrained Edge Using Galerkin's Method

Dumir

Dube

2001

Journal of Sound and Vibration

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“…/; w are approximated as finite degree polynomials in the spatial coordinate. The orthogonal point collocation method [24][25][26], has been employed to discretise the equations. Buckling loads have been determined by solving a linear eigen-value problem by the inverse iteration method [27].…”

Section: Introductionmentioning

confidence: 99%

The postbuckling analysis of laminated circular plate with elliptic delamination

Chen

2011

Communications in Nonlinear Science and Numerical Simulation

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Axisymmetric postbuckling of orthotropic thick annular plates

Cited by 12 publications

References 8 publications

Dynamic behaviour of three-layered annular plates with viscoelastic core under lateral loads

Dynamic behaviour of three-layered annular plates with viscoelastic core under lateral loads

Geometrically Non-Linear Analysis of a Thick Annular Plate With Elastically Constrained Edge Using Galerkin's Method

The postbuckling analysis of laminated circular plate with elliptic delamination

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