A general high precision triangular plate bending finite element has been extended to the buckling analysis of laminated skew plates. This procedure involves development of the transformation matrix between global and local degrees of freedom for nodes lying on the skew edges and suitable transformation of the element matrices. The accuracy of the present formulation has been verified against literature values. New results are obtained for antisymmetric angle-ply and cross-ply laminated skew plates. In this analysis, the critical buckling loads for different skew angles with various lamination parameters, such as number of layers, fibre orientation angle, different boundary (simply supported, clamped) and loading (uniaxial, biaxial) conditions, have been presented. © 1995.

R. Palaninathan

Bending (deformation)

Buckling

Elastic moduli

finite element method

Matrix algebra

Structural analysis

Structural loads

Buckling analysis

FIBRE ORIENTATION ANGLE

LAMINATED SKEW PLATES

Number of layers

Plate thickness

Shear modulus

SKEW ANGLES

TRANSFORMATION MATRIX

Plates (structural components)

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IIT Madras

Buckling of laminated skew plates

Thin-Walled Structures

This paper presents numerical simulation studies on the vibration and acoustic response characteristics of an isotropic rectangular plate in a thermal environment using commercial finite element softwares ANSYS and SYSNOISE. First the critical buckling temperature is obtained, followed by modal and harmonic analyses considering prestress due to the thermal field in the plate, with the critical buckling temperature as a parameter. The vibration response predicted is then used to compute the sound radiation. It is found that the displacement response of the structure increases with an increase in temperature for all boundary conditions. The overall sound radiation of the plate marginally increases with an increase in temperature for all boundary conditions when the temperature approaches the critical buckling temperature although there is a sharp increase in sound power levels. Copyright © 2008 by ASME.

Journal of Vibration and Acoustics, Transactions of the ASME

Vibration and acoustic response of an isotropic plate in a thermal environment

A general high precision triangular plate bending finite element has been extended to the free vibration analysis of laminated skew plates by deriving the consistent mass matrix in explicit form. The boundary conditions on the skew edges are imposed through the transformed element matrices. The accuracy of the present formulation has been verified against literature values. The fundamental frequencies are obtained for simply supported and clamped antisymmetric angle-ply skew laminates. In this analysis, the effects of skew angle, fibre orientation angle, number of layers and stacking sequence on the fundamental frequency have been studied. The frequencies are found to increase with skew angle. Also, the skew angle is seen to have considerable influence on the variations of the frequencies with fibre orientation angle and number of layers in the laminate.

Computers and Structures

Free vibration of skew laminates

The paper considers the elastic buckling of skew fibre-reinforced composite and sandwich plates subjected to thermal loads. To the best of the authors' knowledge, there is no paper in the open literature on this subject and the present paper attempts to fill this gap. Two shear deformable finite element models, one based on first-order shear deformation theory and the other based on higher-order shear deformation theory, are employed to obtain thermal buckling solutions. Extensive numerical results are presented for both thin and thick laminated composite plates with various skew angles, lamination parameters and boundary conditions. A few results for skew sandwiches are obtained for various geometric parameters and skew angles. Results presented, not available so far, could be useful to designers and researchers who may use them as benchmark values to validate their numerical techniques and software for similar problems. (c) 2000 Elsevier Science Ltd. All rights reserved.The paper considers the elastic buckling of skew fibre-reinforced composite and sandwich plates subjected to thermal loads. To the best of the authors' knowledge, there is no paper in the open literature on this subject and the present paper attempts to fill this gap. Two shear deformable finite element models, one based on first-order shear deformation theory and the other based on higher-order shear deformation theory, are employed to obtain thermal buckling solutions. Extensive numerical results are presented for both thin and thick laminated composite plates with various skew angles, lamination parameters and boundary conditions. A few results for skew sandwiches are obtained for various geometric parameters and skew angles. Results presented, not available so far, could be useful to designers and researchers who may use them as benchmark values to validate their numerical techniques and software for similar problems.

Fulltext

Composite Structures

Thermal buckling analysis of skew fibre-reinforced composite and sandwich plates using shear deformable finite element models

Two shear deformable finite element models, one based on first-order shear deformation theory and the other based on a higher-order shear deformation theory, are developed for buckling analysis of skew laminated composite and sandwich panels. The procedure involves the development of transformation matrix between global and local degrees of freedom for the nodes lying on the skew edges and suitable transformation of element matrices. The accuracy of the present models is demonstrated by comparing with alternative solutions available in the literature. Extensive numerical results are presented for critical buckling loads of angle-ply and cross-ply skew laminates with various lamination parameters, boundary conditions and width-to-thickness ratios. New results on skew sandwiches, hitherto not reported in the literature, are obtained for different geometric parameters and skew angles.Two shear deformable finite element models, one based on first-order shear deformation theory and the other based on a higher-order shear deformation theory, are developed for buckling analysis of skew laminated composite and sandwich panels. The procedure involves the development of transformation matrix between global and local degrees of freedom for the nodes lying on the skew edges and suitable transformation of element matrices. The accuracy of the present models is demonstrated by comparing with alternative solutions available in the literature. Extensive numerical results are presented for critical buckling loads of angle-ply and cross-ply skew laminates with various lamination parameters, boundary conditions and width-to-thickness ratios. New results on skew sandwiches, hitherto not reported in the literature, are obtained for different geometric parameters and skew angles.

Two shear deformable finite element models for buckling analysis of skew fibre-reinforced composite and sandwich panels

Journal	Thin-Walled Structures
ISSN	02638231
Open Access	No