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Journal Article•DOI•

Static, vibration and buckling analysis of axisymmetric circular plates using finite elements

Gerard C. Pardoen1•
01 Mar 1973-Computers & Structures (Pergamon)-Vol. 3, Iss: 2, pp 355-375
TL;DR: In this article, the static, vibration, and buckling analysis of axisymmetric circular plates using the finite element method is discussed, and the stiffness matrix of a typical annular plate element is derived from the given displacement function and the appropriate constitutive relations.
About: This article is published in Computers & Structures.The article was published on 1973-03-01. It has received 38 citations till now. The article focuses on the topics: Mixed finite element method & Stiffness matrix.
Citations
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Journal Article•DOI•
TL;DR: In this article, the asymmetric vibration and stability of circular and annular plates using the finite element method is discussed, where the plate bending model consists of one-dimensional circular or annular ring segments using a Fourier series approach to model the problem asymmetries.

44 citations

Journal Article•DOI•
TL;DR: In this paper, a finite-element analysis of the large deflection bending of annular plates with variable thickness is presented, where the more general Reissner plate equations as well as von Karman plate equations are used in the formulation.

36 citations

Journal Article•DOI•
TL;DR: In this article, the thickness approximation is done by measuring thickness at a suitable set of sample points and then using interpolation to get the approximating polynomial, unlike other methods already available in literature where either linear or quadratic variation of thickness has been examined, here one can have an arbitrary degree depending upon the number and locations of the sample points.

31 citations

Journal Article•DOI•
TL;DR: In this paper, the axisymmetric buckling of elastic-plastic circular plates is investigated and a comparison is made between the results of a numerical calculation of the postbuckling behavior and the predictions of an asymptotic analysis.

30 citations

Journal Article•DOI•
TL;DR: In this article, the buckling and free vibration analysis of functionally graded graphene platelets reinforced composite annular plate resting on elastic substrate and subjected to non-uniform vibration was performed.
Abstract: This is the first research on the buckling and free vibration analysis of functionally graded graphene platelets reinforced composite annular plate resting on elastic substrate and subjected to non...

29 citations

References
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Book•
01 Jan 1959
TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
Abstract: CONTENTS: BENDING OF LONG RECTANGULAR PLATES TO A CYLINDRICAL SURFACE PURE BENDING OF PLATES SYMMETRICAL BENDING OF CIRCULAR PLATES SMALL DEFLECTIONS OF LATERALLY LOADED PLATES SIMPLY SUPPORTED RECTANGULAR PLATES RECTANGULAR PLATES WITH VARIOUS EDGE CONDITIONS CONTINUOUS RECTANGULAR PLATES PLATES ON ELASTIC FOUNDATION PLATES OF VARIOUS SHAPES SPECIAL AND APPROXIMATE METHODS IN THEORY OF PLATES BENDING OF ANISTROPIC PLATES BENDING OF PLATES UNDER THE COMBINED ACTION OF LATERAL LOADS AND FORCES IN THE MIDDLE PLANE OF THE PLATE LARGE DEFLECTIONS OF PLATES DEFORMATION OF SHELLS WITHOUT BENDING GENERAL THEORY OF CYLINDRICAL SHELLS SHELLS HAVING THE FORM OF A SURFACE OF REVOLUTION AND LOADED SYMMETRICALLY WITH RESPECT TO THEIR AXIS.

10,200 citations

Book•
01 Jan 1936

8,152 citations

Book•
Arthur W. Leissa1•
01 Jan 1969
TL;DR: The fundamental equation of classical plate theory can be found in this article, where anisotropic and variable-thickness versions of the classical plates are considered, as well as other considerations.
Abstract: : Contents: Fundamental Equations of Classical Plate Theory; Circular Plates; Elliptical Plates; Rectangular Plates; Parallelogram Plates; Other Quadrilateral Plates; Triangular Plates; Plates of Other Shapes; Anisotropic Plates; Plates With Inplane Forces; Plates With Variable Thickness; and Other Considerations.

2,137 citations

Book•
01 Jan 1985

1,710 citations

01 Jan 1967
TL;DR: In this paper, a mathematical reference record was created on 2004-09-07, modified on 2016-08-08, and used for modelisation of mathematical reference records for the Mathematique Reference Record.
Abstract: Keywords: Modelisation ; Mathematique Reference Record created on 2004-09-07, modified on 2016-08-08

851 citations