Note on the Bending of Circular Plates of Variable Thickness

1949 ◽  
Vol 16 (2) ◽  
pp. 209-210
Author(s):  
H. D. Conway
Keyword(s):  
Circular Plate ◽  
Variable Thickness ◽  
Simple Solution ◽  
Central Hole ◽  
Circular Plates ◽  
Special Case ◽  
Plates Of Variable Thickness

Abstract In a recent paper a solution was given to the problem of a symmetrically loaded circular plate with a central hole, the thickness of the plate at any section being proportional to the distance of the section from the center of the plate. A very simple solution can be obtained for another variation of thickness of which the foregoing is a special case.

The Bending of Symmetrically Loaded Circular Plates of Variable Thickness

1948 ◽  
Vol 15 (1) ◽  
pp. 1-6
Author(s):  
H. D. Conway
Keyword(s):  
Circular Plate ◽  
Variable Thickness ◽  
Maximum Stress ◽  
Central Hole ◽  
Constant Thickness ◽  
External Diameter ◽  
Circular Plates ◽  
Plates Of Variable Thickness

Abstract This investigation was carried out with the object of obtaining a solution to the problem of a symmetrically loaded circular plate with a central hole, the thickness of the plate at any section being proportional to the distance of the section from the center of the plate. Six particular cases were investigated, and the values of the maximum stress and deflection calculated for various ratios of the external diameter of the plate to the diameter of the central hole. These values were compared with the corresponding values obtained for plates of constant thickness by A. M. Wahl and G. Lobo (1).

Large Deflections of Circular Plates of Variable Thickness

1982 ◽  
Vol 49 (1) ◽  
pp. 243-245 ◽  
Author(s):  
B. Banerjee
Keyword(s):  
Circular Plate ◽  
Variable Thickness ◽  
Large Deflection ◽  
Numerical Results ◽  
Large Deflections ◽  
Circular Plates ◽  
Uniform Load ◽  
Plate Of Variable Thickness ◽  
Plates Of Variable Thickness

The large deflection of a clamped circular plate of variable thickness under uniform load has been investigated using von Karman’s equations. Numerical results obtained for the deflections and stresses at the center of the plate have been given in tabular forms.

Axially Symmetrical Plates With Linearly Varying Thickness

1951 ◽  
Vol 18 (2) ◽  
pp. 140-142
Author(s):  
H. D. Conway
Keyword(s):  
General Solution ◽  
Closed Form ◽  
Variable Thickness ◽  
Practical Problem ◽  
Constant Thickness ◽  
Circular Plates ◽  
Varying Thickness ◽  
Small Deflection ◽  
Special Case ◽  
Plates Of Variable Thickness

Abstract The most practical problem in the bending of symmetrically loaded circular plates of variable thickness is probably that in which the thickness decreases linearly with the distance from the center of the plate. A general solution of the small-deflection problem of such plates is given here in closed form for the special case when Poisson’s ratio is 1/3. Numerical results are given for two particular examples, and these are compared with the results for corresponding plates of constant thickness.

scholarly journals Natural frequencies of orthotropic circular plates of variable thickness.

AIAA Journal ◽  
1968 ◽  
Vol 6 (8) ◽  
pp. 1625-1626 ◽  
Author(s):  
ALAN P. SALZMAN ◽  
SHARAD A. PATEL
Keyword(s):  
Variable Thickness ◽  
Natural Frequencies ◽  
Circular Plates ◽  
Plates Of Variable Thickness

Stability of circular plates of variable thickness

1975 ◽  
Vol 11 (11) ◽  
pp. 1233-1235
Author(s):  
E. F. Burmistrov ◽  
N. M. Maslov
Keyword(s):  
Variable Thickness ◽  
Circular Plates ◽  
Plates Of Variable Thickness

The Bending of Symmetrically Loaded Circular Plates of Variable Thickness under Uniform Compression

1968 ◽  
Vol 19 (1) ◽  
pp. 59-70
Author(s):  
R. S. Dhaliwal
Keyword(s):  
Variable Thickness ◽  
Circular Ring ◽  
Maximum Deflection ◽  
Circular Plates ◽  
Uniform Compression ◽  
Varying Thickness ◽  
Ring Plate ◽  
Plates Of Variable Thickness

SummaryThe solution has been obtained for the problem of a uniformly compressed and symmetrically loaded circular ring plate of linearly varying thickness. Four particular cases have been discussed and numerical values of the maximum deflection have been obtained for various sizes of the hole of the ring.

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