scholarly journals Elastic Buckling Interaction Equation of Simply Supported Rectangular Plates Subjected to Five Load Components

1985 ◽  
Vol 1985 (157) ◽  
pp. 425-438
Author(s):  
Yukio Ueda ◽  
Sherif M. H. Rashed ◽  
Jeom Kee Paik
Keyword(s):  
Elastic Buckling ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Interaction Equation

Relationship Between the Elastic Buckling of Square Tubes and Rectangular Plates

1990 ◽  
Vol 57 (4) ◽  
pp. 969-973 ◽  
Author(s):  
S. Li ◽  
S. R. Reid
Keyword(s):  
Cross Section ◽  
Elastic Buckling ◽  
Rectangular Plates ◽  
Buckling Mode ◽  
Tube Cross Section ◽  
Simply Supported ◽  
Buckling Behavior ◽  
Edge Conditions

The buckling behavior of axially compressed square tubes is investigated by introducing realistic edge conditions for the panels which correspond to symmetry or antisymmetry in the modes of deformation of the tube cross-section with regard to the diagonals of the section. The results show a number of differences between the buckling behavior of square tubes and of simply-supported plates. This vanishes only for very thin tubes and plates. The comparison between the buckling mode for thinner and thicker tubes suggests an explanation for the existence of compact and noncompact crushing modes in the subsequent crushing of tubes.

BUCKLING OF RECTANGULAR PLATES WITH INTERNAL HINGE

2001 ◽  
Vol 01 (02) ◽  
pp. 169-179 ◽  
Author(s):  
Y. XIANG ◽  
C. M. WANG ◽  
C. Y. WANG
Keyword(s):  
Design Parameters ◽  
Elastic Buckling ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Aspect Ratios ◽  
Wide Range ◽  
Benchmark Solutions

This paper is concerned with the elastic buckling of uniaxially/biaxially loaded rectangular plates with an internal hinge and two opposite sides simply supported. The buckling problem is solved analytically using the Levy method. The exact buckling solutions furnished by the Levy method provide benchmark solutions for such plates with an internal hinge. Extensive buckling results are presented for plates of a wide range of aspect ratios, hinge locations and in-plane loading configurations. Based on these results, the buckling behaviour of plates with an internal hinge may be observed with respect to the aforementioned design parameters.

Deformation of Rectangular Slender Webplates with Boundary Members Flexible in the Webplate Plane

1966 ◽  
Vol 17 (4) ◽  
pp. 371-394 ◽  
Author(s):  
J. Djubek
Keyword(s):  
Linear Problem ◽  
Numerical Results ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Non Linear

SummaryThe paper presents a solution of the non-linear problem of the deformation of slender rectangular plates which are stiffened along their edges by elastically compressible stiffeners flexible in the plane of the plate. The webplate is assumed to be simply-supported along its contour. Numerical results showing the effect of flexural and normal rigidity of stiffeners are given for a square webplate loaded by shear and compression.

scholarly journals Dual-series equations formulation for static deformation of plates with a partial internal line support

2007 ◽  
Vol 34 (3) ◽  
pp. 221-248 ◽  
Author(s):  
Yos Sompornjaroensuk ◽  
Kraiwood Kiattikomol
Keyword(s):  
Integral Equation ◽  
Fredholm Integral Equation ◽  
Hankel Transform ◽  
Internal Line ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Distributed Load ◽  
Dual Series Equations ◽  
Finite Hankel Transform ◽  
Standard Techniques

The paper deals with the application of dual-series equations to the problem of rectangular plates having at least two parallel simply supported edges and a partial internal line support located at the centre where the length of internal line support can be varied symmetrically, loaded with a uniformly distributed load. By choosing the proper finite Hankel transform, the dual-series equations can be reduced to the form of a Fredholm integral equation which can be solved conveniently by using standard techniques. The solutions of integral equation and the deformations for each case of the plates are given and discussed in details.

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