Random vibrations of orthotropic plates clamped or simply supported all round

1977 ◽  
Vol 9 (2) ◽  
pp. 218-219 ◽  
Author(s):  
I. Elishakoff
Keyword(s):  
Random Vibrations ◽  
Orthotropic Plates ◽  
Simply Supported

LINEAR BENDING ANALYSIS OF INHOMOGENEOUS VARIABLE-THICKNESS ORTHOTROPIC PLATES UNDER VARIOUS BOUNDARY CONDITIONS

2007 ◽  
Vol 04 (03) ◽  
pp. 417-438 ◽  
Author(s):  
A. M. ZENKOUR ◽  
M. N. M. ALLAM ◽  
D. S. MASHAT
Keyword(s):  
Boundary Conditions ◽  
Variable Thickness ◽  
Flexural Rigidity ◽  
Approximate Solutions ◽  
Rectangular Plates ◽  
Orthotropic Plates ◽  
Simply Supported ◽  
Various Boundary Conditions ◽  
Thickness Parameter ◽  
Space Concept

An exact solution to the bending of variable-thickness orthotropic plates is developed for a variety of boundary conditions. The procedure, based on a Lévy-type solution considered in conjunction with the state-space concept, is applicable to inhomogeneous variable-thickness rectangular plates with two opposite edges simply supported. The remaining ones are subjected to a combination of clamped, simply supported, and free boundary conditions, and between these two edges the plate may have varying thickness. The procedure is valuable in view of the fact that tables of deflections and stresses cannot be presented for inhomogeneous variable-thickness plates as for isotropic homogeneous plates even for commonly encountered loads because the results depend on the inhomogeneity coefficient and the orthotropic material properties instead of a single flexural rigidity. Benchmark numerical results, useful for the validation or otherwise of approximate solutions, are tabulated. The influences of the degree of inhomogeneity, aspect ratio, thickness parameter, and the degree of nonuniformity on the deflections and stresses are investigated.

Elastic Buckling of Infinitely Long Specially Orthotropic Plates on Tensionless Foundations

1991 ◽  
Vol 113 (4) ◽  
pp. 396-403 ◽  
Author(s):  
K. W. Shahwan ◽  
A. M. Waas
Keyword(s):  
Growth Models ◽  
Elastic Buckling ◽  
Rigid Foundation ◽  
Orthotropic Plates ◽  
Near Surface ◽  
Simply Supported ◽  
Epoxy Material ◽  
Delamination Buckling ◽  
Materials Used ◽  
The One

The results of an analytical study on the elastic buckling of long narrow orthotropic plates resting on a tensionless foundation are reported. The motivation for the present study stems from the importance of delamination buckling as a viable mode of failure in fibrous laminated composites. When near surface delaminations undergo buckling, the buckled displacements are of one sign, because the remainder of the laminate (parent sublaminate) essentially acts like a rigid foundation. The results of the present study can be incorporated into developing delamination growth models for various loading conditions. Example results are presented for five different types of plates where one is of the isotropic type and the remaining four are of the laminated orthotropic type. Example results for two types of Graphite/Epoxy material systems (IM7/8551-7 and T300/BP907) are reported. In the laminates considered, the stacking is sequenced so that the bending constitutive constants D16 and D26 vanish. Extensive parametric analysis was performed and it was found that for the case of a simply supported plate and in the limiting case of a rigid foundation, conforming to buckled displacements of one sign, the increase in the buckling load over that of a simply supported plate but with no foundation varies between 22 and 33 percent, depending on the plate stacking sequence. On the other hand, for the clamped-free case this number was found to vary between 24 and 36 percent for all types of materials used in this study. Previous studies that addressed similar issues did not pay particular attention to the one sided buckling constraint that is placed due to physical considerations.

A Reduction Method for Buckling Problems of Orthotropic Plates

1957 ◽  
Vol 8 (2) ◽  
pp. 145-156 ◽  
Author(s):  
P. Shuleshko
Keyword(s):  
Boundary Conditions ◽  
Orthotropic Plate ◽  
Reduction Method ◽  
Isotropic Plate ◽  
Axial Loading ◽  
Orthotropic Plates ◽  
Simply Supported ◽  
Various Boundary Conditions ◽  
Plate Buckling

SummarySeveral plate buckling problems are solved, using a reduction method. By this method the solution of an orthotropic plate can be reduced to the solution of an isotropic plate and the solution of a plate with bi-axial loading can be reduced to the solution of a plate with uni-axial loading and so on. Plates with simply-supported ends and various boundary conditions at the sides with uni-axial and bi-axial loading are considered and the necessary reduction equations are given.

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