A comment on “transverse vibrations and elastic stability of circular plates of variable thickness and with non-uniform boundary conditions”

1982 ◽  
Vol 81 (1) ◽  
pp. 140 ◽  
Author(s):  
P.A.A. Laura ◽  
G.M. Ficcadenti ◽  
R.O. Grossi
Keyword(s):  
Boundary Conditions ◽  
Variable Thickness ◽  
Elastic Stability ◽  
Circular Plates ◽  
Transverse Vibrations ◽  
Plates Of Variable Thickness

Symmetrical Bending of Circular Plates of Constant Radial Bending Stress

1962 ◽  
Vol 29 (4) ◽  
pp. 696-700 ◽  
Author(s):  
J. P. Lee
Keyword(s):  
Boundary Conditions ◽  
Variable Thickness ◽  
Integrodifferential Equation ◽  
Thin Plates ◽  
Bending Stress ◽  
Circular Plates ◽  
Uniform Thickness ◽  
Simply Supported ◽  
Equation Boundary ◽  
Plates Of Variable Thickness

Bending of simply supported circular plates of constant radial bending stress subjected to uniformly distributed loading is investigated by solving a nonlinear integrodifferential equation. Boundary conditions are satisfied by joining the central portion of the plates of variable thickness to an annular rim along the boundary with uniform thickness. Usual assumptions for bending of thin plates of small deflections are assumed valid.

Bending and Vibration of Plates of Variable Thickness

1976 ◽  
Vol 98 (1) ◽  
pp. 166-170 ◽  
Author(s):  
S. S. H. Chen
Keyword(s):  
Boundary Conditions ◽  
Variable Thickness ◽  
Natural Frequencies ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
The Other ◽  
Polar Coordinates ◽  
Rectangular Plates ◽  
Circular Plates ◽  
Plates Of Variable Thickness

The problem of bending and vibration of plates of variable thickness and arbitrary shapes and with mixed boundary conditions was solved by a modified energy method of the Rayleigh-Ritz type. General trial functions of deflection were obtained, one in Cartesian coordinates for rectangular plates and the other in polar coordinates for other shapes. The forced boundary conditions were satisfied approximately by introducing fixity factors which depended upon the prescribed conditions. Central deflections for circular plates subjected to static bending were within 0.2 percent of published results while they were within 1 percent for rectangular plates. The differences of natural frequencies of various rectangular plates were from 0.05 percent for simple, 2.9 percent for clamp, and up to 4.3 percent for free-free plates based on the published values.

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

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.

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.

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.

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