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Buckling of laminated skew plates

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TLDR
In this paper, a high precision triangular plate bending finite element has been extended to the buckling analysis of laminated skew plates, which involves development of the transformation matrix between global and local degrees of freedom for nodes lying on skew edges and suitable transformation of the element matrices.
Abstract
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.

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

TL;DR: In this paper, the elastic buckling of skew fiber-reinforced composite and sandwich plates subjected to thermal loads is considered and two shear deformable finite element models are employed to obtain thermal buckling solutions.
Journal ArticleDOI

Vibration and Acoustic Response of an Isotropic Plate in a Thermal Environment

TL;DR: In this article, the authors presented 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.
Journal ArticleDOI

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

TL;DR: In this article, two shear deformable finite element models, one based on first-order shear deformation theory and the other based on higher-order heuristics, are developed for buckling analysis of skew laminated composite and sandwich panels.
Journal ArticleDOI

Free vibration of skew laminates

TL;DR: In this article, 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.
Journal ArticleDOI

Buckling analysis of skew fibre-reinforced composite laminates based on first-order shear deformation plate theory

TL;DR: In this paper, a B-spline Rayleigh-Ritz method based on first-order shear deformation plate theory 1,2 (SDPT) was proposed for buckling analysis of skew fiber-reinforced composite laminates.
References
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Book

The finite element method

TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book

Concepts and Applications of Finite Element Analysis

TL;DR: In this article, the authors present a formal notation for one-dimensional elements in structural dynamics and vibrational properties of a structural system, including the following: 1. Isoparametric Elements.
Journal ArticleDOI

Continua and Discontinua

A high precision triangular plate-bending element,

TL;DR: In this article, a displacement-type finite element of triangular shape is developed and applied to the solution of several problems in the bending of plates The deflection is represented by a fifth degree polynomial in the Cartesian co-ordinates of the midplane Six deflection parameters are specified at each vertex, yielding a total of 18 degrees of freedom for the element.
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