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Journal ArticleDOI

Nonlinear analysis of skew plates using the finite element method

01 Jun 1976-Computers & Structures (Pergamon)-Vol. 6, Iss: 3, pp 199-202
TL;DR: In this article, a finite element analysis of the large deflection behavior of skew plates has been done, where a high precision conforming triangular plate bending element has been used to analyze the central deflection, bending and membrane stresses.
About: This article is published in Computers & Structures.The article was published on 1976-06-01. It has received 11 citations till now. The article focuses on the topics: Bending of plates & Mixed finite element method.
Citations
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Journal ArticleDOI
TL;DR: In this article, a finite element analysis of the geometrically nonlinear behaviour of plates using a Mindlin formulation with the assumption of small rotations is presented, and a comparison of the performance of Linear, Serendipity, Lagrangian and Heterosis elements is given for square, skew, circular and elliptical plates subjected to distributed and point loading.

155 citations

Journal ArticleDOI
TL;DR: In this article, a differential quadrature nonlinear analysis of skew laminated composite plates is presented, where the governing equations are based on first-order shear deformation theory (FSDT).

45 citations

Journal ArticleDOI
TL;DR: In this paper, a semi-analytical approach for the geometrically nonlinear analysis of skew and trapezoidal plates subjected to out-of-plane loads is presented.

34 citations

Journal ArticleDOI
TL;DR: In this paper, two different differential quadrature (DQ) approaches based on the thin plate theory and the first order shear deformation plate theory are employed to investigate the large deformation analyses of thin and moderately thick orthotropic skew plates with nonlinear elastic rotationally restrained edges.

30 citations

Journal ArticleDOI
TL;DR: In this paper, the effects of geometric nonlinearity, transverse shear, boundary conditions, aspect ratio and modular ratio on the behavior of laminated composite skew plates are discussed in detail.

22 citations

References
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01 May 1942
TL;DR: In this paper, the authors presented the solution of von Karman's fundamental equations for large deflections of plates under edge compression and lateral loading, and found that the effective widths agree closely with Marguerre's formula and with the experimentally observed values.
Abstract: The solution of von Karman's fundamental equations for large deflections of plates is presented for the case of a simply supported rectangular plate under combined edge compression and lateral loading. Numerical solutions are given for square plates and for rectangular plates with a width-span ratio of 3:1. The effective widths under edge compression are compared with effective widths according to von Karman, Bengston, Marguerre, and Cox and with experimental results by Ramberg, McPherson, and Levy. The deflections for a square plate under lateral pressure are compared with experimental and theoretical results by Kaiser. It is found that the effective widths agree closely with Marguerre's formula and with the experimentally observed values and that the deflections agree with the experimental results and with Kaiser's work.

230 citations

Journal ArticleDOI
TL;DR: In this paper, a conforming shallow shell finite element of arbitrary triangular shape is developed and applied to the solution of several static problems, which incorporates 36 generalized coordinates, namely the normal displacement w and its first and second derivatives plus the tangential displacements u and v and their first derivatives at each vertex.

165 citations

Journal ArticleDOI
TL;DR: In this paper, the perturbation method is used to analyze the problem of small and large deflections of clamped skewed plates under uniform pressure, and the results are improved by successive approximations to the three displacement components in the middle plane of the plate.
Abstract: The perturbation method is used to analyze the problem of small and large deflections of clamped skewed plates under uniform pressure. The results are improved by successive approximations to the three displacement components in the middle plane of the plate. Numerical and graphical results are presented. Comparisons are made with existing results for skewed plates with small deflections as well as with results for rectangular plates with small and large deflection behaviour;.good agreement is shown. The effects of skew and aspect ratio on plates with large deflections are investigated. It is shown that the centre deflection decreases with increase in skew and aspect ratio, and that the maximum resultant stress occurs along the longer edges of the plates and is displaced towards the obtuse corners. Four aluminum skewed panels of different skew angles and aspect ratios were tested to verify the theoretical predictions. Experimental results for deflections as well as maximum edge and centre stresses are compared with those obtained analytically. Close agreement is found. It was also revealed from these experiments that, at large lateral loads producing plastic permanent deformations in the plate models, the obtuse corners are not only regions of stress concentration but also of instability, exhibited by sudden reversal of stresses. ! ACKNOWLEDGMENTS The writer wishes to express his gratitude to Dr. J.B. Kennedy for his guidance and suggestions in the preparation of this work and for his generous aid and constructive criticism throughout its development. The writer is also indebted to Mr. William James and > Mr. David Wongsing who have helped in the checking of the theoretical analysis. Thanks are also due to Mr. George Michalczuk who has helped generously in the setting up of the experiments. The financial assistance given ' by the Defence Research Board is greatly appreciated.

24 citations

Journal ArticleDOI
TL;DR: In this article, a step-by-step linear incremental procedure for large deflection analyses of plates on elastic foundations using finite elements is presented. And the incremental stiffness matrices for a conforming rectangular plate finite element are formulated and presented explicitly.
Abstract: A step-by-step linear incremental procedure for large deflection analyses of plates on elastic foundations using finite elements is presented. The incremental stiffness matrices for a conforming rectangular plate finite element, which are appropriate for large deflection analysis, are formulated and presented explicitly. Evaluative analyses are made by using the incremental stiffness formulations and piecewise incremental procedures. Examples include uniformly loaded rectangular plates with different length-to-width ratios, various boundary conditions and foundation moduli. Comparisons are made in those cases where the alternative analytic solutions are available. Good agreements are found.

20 citations