Large deflection problem of a clamped elliptical plate subjected to uniform pressure

1992 ◽  
Vol 13 (10) ◽  
pp. 891-908 ◽  
Author(s):  
Chien Wei-zang ◽  
Pan Li-zhou ◽  
Liu Xiao-ming
Keyword(s):  
Large Deflection ◽  
Uniform Pressure ◽  
Elliptical Plate ◽  
Large Deflection Problem

Large Deflections of Elliptical Plates

1956 ◽  
Vol 23 (1) ◽  
pp. 21-26
Author(s):  
N. A. Weil ◽  
N. M. Newmark
Keyword(s):  
Circular Plate ◽  
Maximum Stress ◽  
Large Deflection ◽  
Ritz Method ◽  
Constant Thickness ◽  
Infinite Strip ◽  
Elliptical Plate ◽  
Arbitrary Dimensions ◽  
Center Deflection ◽  
Large Deflection Problem

Abstract A solution is obtained by means of the Ritz method for the “large-deflection” problem of a clamped elliptical plate of constant thickness, subjected to a uniformly distributed load. Two shapes of elliptical plate are treated, in addition to the limiting cases of the circular plate and infinite strip, for which the exact solutions are known. Center deflections as well as total stresses at the center and edge decrease as one proceeds from the infinite strip through the elliptical shapes to the circular plate, holding the width of the plates constant. The relation between edge-stress at the semiminor axis (maximum stress in the plate) and center deflection is found to be practically independent of the proportions of the elliptical plate. Hence the governing stress may be determined from a single curve for a given load on an elliptical plate of arbitrary dimensions, if the center deflection is known.

scholarly journals Analysis of the Elastic Large Deflection Behavior for Metal Plates under Nonuniformly Distributed Lateral Pressure with In-Plane Loads

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Jeom Kee Paik ◽  
Ju Hye Park ◽  
Bong Ju Kim
Keyword(s):  
Pressure Distribution ◽  
Large Deflection ◽  
Lateral Pressure ◽  
Water Pressure ◽  
Offshore Structures ◽  
Design Methods ◽  
Uniform Pressure ◽  
Bending Moments ◽  
Maritime Industry ◽  
Metal Plates

The Galerkin method is applied to analyze the elastic large deflection behavior of metal plates subject to a combination of in-plane loads such as biaxial loads, edge shear and biaxial inplane bending moments, and uniformly or nonuniformly distributed lateral pressure loads. The motive of the present study was initiated by the fact that metal plates of ships and ship-shaped offshore structures at sea are often subjected to non-uniformly distributed lateral pressure loads arising from cargo or water pressure, together with inplane axial loads or inplane bending moments, but the current practice of the maritime industry usually applies some simplified design methods assuming that the non-uniform pressure distribution in the plates can be replaced by an equivalence of uniform pressure distribution. Applied examples are presented, demonstrating that the current plate design methods of the maritime industry may be inappropriate when the non-uniformity of lateral pressure loads becomes more significant.

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