An analytic method of studying the nonlinearly elastic equilibrium of a rectangular plate of variable thickness under bending

1998 ◽  
Vol 92 (5) ◽  
pp. 4144-4146
Author(s):  
Yu. N. Nemish
Keyword(s):  
Rectangular Plate ◽  
Variable Thickness ◽  
Elastic Equilibrium ◽  
Analytic Method ◽  
Plate Of Variable Thickness ◽  
Nonlinearly Elastic

A Levy-Type Solution for a Rectangular Plate of Variable Thickness

1958 ◽  
Vol 25 (2) ◽  
pp. 297-298
Author(s):  
H. D. Conway
Keyword(s):  
Boundary Conditions ◽  
Rectangular Plate ◽  
Variable Thickness ◽  
Thickness Variation ◽  
Type Solution ◽  
Arbitrary Boundary ◽  
Simply Supported ◽  
Arbitrary Boundary Conditions ◽  
Plate Of Variable Thickness

Abstract A solution is given for the bending of a uniformly loaded rectangular plate, simply supported on two opposite edges and having arbitrary boundary conditions on the others. The thickness variation is taken as exponential in order to make the solution tractable, and thus closely approximates to uniform taper if the latter is small.

Buckling of Rectangular Plates With General Variation in Thickness

1973 ◽  
Vol 40 (3) ◽  
pp. 745-751 ◽  
Author(s):  
D. S. Chehil ◽  
S. S. Dua
Keyword(s):  
Rectangular Plate ◽  
Variable Thickness ◽  
Perturbation Technique ◽  
Thickness Variation ◽  
Rectangular Plates ◽  
Bending Vibration ◽  
Simply Supported ◽  
Buckling Stress ◽  
General Variation ◽  
Plate Of Variable Thickness

A perturbation technique is employed to determine the critical buckling stress of a simply supported rectangular plate of variable thickness. The differential equation is derived for a general thickness variation. The problem of bending, vibration, buckling, and that of dynamic stability of a variable thickness plate can be deduced from this equation. The problem of buckling of a rectangular plate with simply supported edges and having general variation in thickness in one direction is considered in detail. The solution is presented in a form such as can be easily adopted for computing critical buckling stress, once the thickness variation is known. The numerical values obtained from the present analysis are in excellent agreement with the published results.

Stress and deformation of a loaded rectangular plate of variable thickness

1989 ◽  
Vol 25 (8) ◽  
pp. 757-763
Author(s):  
Yu. N. Nemish ◽  
V. P. Maslov ◽  
I. S. Sagalyuk ◽  
D. I. Chernopiskii
Keyword(s):  
Rectangular Plate ◽  
Variable Thickness ◽  
Plate Of Variable Thickness ◽  
Stress And Deformation

Loss factor for a simply supported rectangular plate of variable thickness

AIAA Journal ◽  
1975 ◽  
Vol 13 (9) ◽  
pp. 1228-1230
Author(s):  
S. P. Nigram ◽  
G. K. Grover ◽  
S. Lal
Keyword(s):  
Rectangular Plate ◽  
Variable Thickness ◽  
Loss Factor ◽  
Simply Supported ◽  
Plate Of Variable Thickness
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