TRANSVERSE VIBRATIONS OF A SIMPLY SUPPORTED RECTANGULAR ORTHOTROPIC PLATE WITH A CIRCULAR PERFORATION WITH A FREE EDGE

1998 ◽  
Vol 212 (4) ◽  
pp. 753-757 ◽  
Author(s):  
P.A.A. Laura ◽  
R.E. Rossi ◽  
D.R. Avalos ◽  
H.A. Larrondo
Keyword(s):  
Orthotropic Plate ◽  
Free Edge ◽  
Simply Supported ◽  
Transverse Vibrations ◽  
Rectangular Orthotropic Plate

Analysis of an Orthotropic Plate by Maclaurin's Series

1963 ◽  
Vol 67 (626) ◽  
pp. 126-127 ◽  
Author(s):  
N. R. Rajappa ◽  
D. V. Reddy
Keyword(s):  
Cross Section ◽  
Orthotropic Plate ◽  
Practical Applications ◽  
Simply Supported ◽  
Isotropic Plates ◽  
Distributed Load ◽  
Functions Of Two Variables ◽  
Uniformly Distributed Load ◽  
Rectangular Orthotropic Plate

A method is presented for the analysis of a simply-supported rectangular orthotropic plate subjected to a uniformly distributed load by the application of Maclaurin's series. The solutions have practical applications in the design of interconnected beam systems because of the elastic equivalence of the grid framework to an orthotropic plate.The application of Maclaurin's series to the analysis of beams in bending was first described by Hetényi. Recently Reddy and Gangadharan described a modified approach for beams with stepped variations in cross section. Ballesteros has extended the method to functions of two variables in the analysis of isotropic plates in bending.

TRANSVERSE VIBRATIONS OF A SIMPLY SUPPORTED ORTHOTROPIC PLATE WITH AN OBLIQUE CUTOUT

2001 ◽  
Vol 248 (3) ◽  
pp. 578-583 ◽  
Author(s):  
R.E. ROSSI ◽  
P.A.A. LAURA ◽  
D.R. AVALOS ◽  
H.A. LARRONDO
Keyword(s):  
Orthotropic Plate ◽  
Simply Supported ◽  
Transverse Vibrations

Correlation Between some Stability Problems for Orthotropic and Isotropic Plates under Bi-Axial and Uni-Axial Direct Stress

1954 ◽  
Vol 4 (1) ◽  
pp. 83-92 ◽  
Author(s):  
W. H. Wittrick
Keyword(s):  
Axial Compression ◽  
Orthotropic Plate ◽  
Isotropic Plate ◽  
List Type ◽  
Simply Supported ◽  
Side Ratio ◽  
Buckling Stress ◽  
Isotropic Plates ◽  
Stress Coefficient ◽  
Rectangular Orthotropic Plate

SummaryFour buckling problems are considered, namely: — (a) A rectangular orthotropic plate, with all edges simply supported, subjected to compression on its ends and a known compression or tension on its sides;(b) the same as (a) but with the ends clamped and sides simply supported;(c) a rectangular orthotropic plate, with the ends simply supported and sides clamped, subjected to compression on its ends; and(d) the same as (c) but with all edges clamped.In each case it is shown that the variables involved can all be combined into such a non-dimensional form that a single curve serves to give the value of the end compression required to cause buckling. This curve is identical with the curve of buckling stress coefficient against side ratio for a corresponding isotropic plate under uni-axial compression.

A Parametric Approach for the Stress Analysis of Orthogonally Stiffened Rectangular Plates

1983 ◽  
Vol 105 (4) ◽  
pp. 363-368 ◽  
Author(s):  
R. J. Dohrmann ◽  
J. N. Wu ◽  
R. E. Beckett
Keyword(s):  
Stress Analysis ◽  
Orthotropic Plate ◽  
Plate Thickness ◽  
Normal Pressure ◽  
Rectangular Plates ◽  
Maximum Deflection ◽  
Stiffened Plate ◽  
Parametric Approach ◽  
Simply Supported ◽  
Plate Geometry

This report describes a parametric approach for the stress analysis of orthogonally stiffened rectangular plates. The analysis assumes that the deflection of an orthogonally stiffened plate is approximated by a homogeneous orthotropic plate of a uniform thickness. Polynomial expressions for maximum deflection for two sets of boundary conditions (all edges clamped and two edges clamped–two edges simply supported) are presented in terms of plate geometry and loading (normal pressure and in-plane forces). A method for computing the stress is presented that permits stresses in the actual orthogonally stiffened plate (that generally does not have a uniform plate thickness) to be determined.

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