Triangular and rectangular plate elements based on generalized compatibility conditions

1992 ◽  
Vol 10-10 (3-4) ◽  
pp. 281-288 ◽  
Author(s):  
Z. F. Long
Keyword(s):  
Rectangular Plate ◽  
Compatibility Conditions ◽  
Plate Elements ◽  
Generalized Compatibility

scholarly journals Frequency Domain Spectral Element Model for the Vibration Analysis of a Thin Plate with Arbitrary Boundary Conditions

2016 ◽  
Vol 2016 ◽  
pp. 1-20 ◽  
Author(s):  
Ilwook Park ◽  
Taehyun Kim ◽  
Usik Lee
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Rectangular Plate ◽  
Element Model ◽  
Spectral Element ◽  
Plate Element ◽  
Arbitrary Boundary ◽  
Arbitrary Boundary Conditions ◽  
Plate Elements ◽  
Rectangular Plate Element

We propose a new spectral element model for finite rectangular plate elements with arbitrary boundary conditions. The new spectral element model is developed by modifying the boundary splitting method used in our previous study so that the four corner nodes of a finite rectangular plate element become active. Thus, the new spectral element model can be applied to any finite rectangular plate element with arbitrary boundary conditions, while the spectral element model introduced in the our previous study is valid only for finite rectangular plate elements with four fixed corner nodes. The new spectral element model can be used as a generic finite element model because it can be assembled in any plate direction. The accuracy and computational efficiency of the new spectral element model are validated by a comparison with exact solutions, solutions obtained by the standard finite element method, and solutions from the commercial finite element analysis package ANSYS.

Static Stability Behaviour of Plate Elements with Non-Uniform, in-Plane Stress Distribution

1979 ◽  
Vol 21 (5) ◽  
pp. 363-365
Author(s):  
P. K. Datta
Keyword(s):  
Stress Distribution ◽  
Boundary Conditions ◽  
Rectangular Plate ◽  
Plane Stress ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Static Stability ◽  
Buckling Loads ◽  
Plate Elements ◽  
Edge Loading

The results of analytically and experimentally determined buckling loads of a rectangular plate, subjected to partial edge loading and mixed boundary conditions, are presented.

New rectangular plate elements based on twist-Kirchhoff theory

2011 ◽  
Vol 200 (33-36) ◽  
pp. 2547-2561 ◽  
Author(s):  
F. Brezzi ◽  
J.A. Evans ◽  
T.J.R. Hughes ◽  
L.D. Marini
Keyword(s):  
Rectangular Plate ◽  
Plate Elements ◽  
Kirchhoff Theory

On Assumed Displacements for the Rectangular Plate Bending Element

1967 ◽  
Vol 71 (682) ◽  
pp. 722-724 ◽  
Author(s):  
D. J. Dawe
Keyword(s):  
Rectangular Plate ◽  
Natural Frequency ◽  
Numerical Results ◽  
Plate Bending ◽  
Rapid Convergence ◽  
Polynomial Representation ◽  
Numerical Accuracy ◽  
Lateral Deflection ◽  
Plate Elements

Summary:—A family of alternative expressions is presented suitable for the representation of the lateral deflection of rectangular plate elements in bending. Such expressions are extensions of a simple polynomial representation assumed in earlier work. The new expressions are such that not all displacement continuity conditions are met completely but, nonetheless, a criterion ensuring convergence of numerical results to true stiffness levels is satisfied. Deflection and natural frequency estimates based on one expression of the proposed family demonstrate rapid convergence and high numerical accuracy.

The TUBA Family of Plate Elements for the Matrix Displacement Method

1968 ◽  
Vol 72 (692) ◽  
pp. 701-709 ◽  
Author(s):  
J. H. Argyris ◽  
I. Fried ◽  
D. W. Scharpf
Keyword(s):  
Displacement Method ◽  
Compatibility Conditions ◽  
Quadrilateral Elements ◽  
Analytical Construction ◽  
Plate Elements ◽  
The Matrix ◽  
Slope Condition

The analytical construction of displacement functions for plate elements subject to bending was discussed at some length in ref. 1. Attention was thereby drawn to both triangular and quadrilateral elements available in the ASKA system, which satisfy either all kinematic compatibility conditions or are deficient in the continuity of the gradient normal to the edge. The most rudimentary elements of the triangular set consist of the so-called fully compatible TRIB 3C and the TRIB 3, which satisfies the slope condition only at the vertices. The TRIB 3C corresponds in principle, but not in detail, to the element evolved by Bazeley et al but allows, however, also for linear taper.

Scattering from a Thin Rectangular Plate at Glancing Incidence

2001 ◽  
Vol 21 (2) ◽  
pp. 147-163 ◽  
Author(s):  
Hirohide Serizawa ◽  
Kohei Hongo ◽  
Hirokazu Kobayashi
Keyword(s):  
Rectangular Plate ◽  
Thin Rectangular Plate
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