Buckling of a thin annular plate under uniform compression

AIAA Journal ◽  
1971 ◽  
Vol 9 (9) ◽  
pp. 1701-1707 ◽  
Author(s):  
SAURINDRANATH MAJUMDAR
Keyword(s):  
Annular Plate ◽  
Uniform Compression

Buckling of a Thin Annular Plate Under Uniform Compression

1958 ◽  
Vol 25 (2) ◽  
pp. 267-273
Author(s):  
N. Yamaki
Keyword(s):  
Boundary Conditions ◽  
Circular Plate ◽  
Critical Loads ◽  
Equilibrium Equation ◽  
Annular Plate ◽  
Elastic Stability ◽  
Infinite Strip ◽  
Uniform Compression ◽  
The Stability

Abstract This paper deals with the elastic stability of a circular annular plate under uniform compressive forces applied at its edges. By integrating the equilibrium equation of the buckled plate, the problem is solved in its most general form for twelve different combinations of the boundary conditions of the edges. For each case cited the lowest critical loads are calculated with the ratio of its radii as the parameter. It is clarified that the assumption of symmetrical buckling, which has been made by several researchers, often leads to the overestimate for the stability of the plate. Discussions for the limiting cases of the circular plate and infinite strip also are included.

Elastic Instability of an Annular Plate Under Uniform Compression and Lateral Pressure

1980 ◽  
Vol 47 (3) ◽  
pp. 591-594 ◽  
Author(s):  
J. Tani
Keyword(s):  
Lateral Pressure ◽  
Annular Plate ◽  
Plate Theory ◽  
Axisymmetric Deformation ◽  
Elastic Instability ◽  
Uniform Compression ◽  
Combined Loads ◽  
Simultaneous Loading ◽  
Axisymmetric Equilibrium ◽  
Dynamic Version

The elastic instability of a thin clamped annular plate which has suffered a finite axisymmetric deformation due to simultaneous loading of uniform compression and lateral pressure is studied by examining the asymmetric small free vibration in the neighborhood of the nonlinear axisymmetric equilibrium state. The problem is solved by applying a finite-difference method to the dynamic version of the nonlinear von Karman plate theory. The numerical results indicate that there are the ranges of the magnitude of combined loads under which the axisymmetric deformation of the plate becomes unstable.

Study of the Influence of Annular Plate Size on the Stress-Strain State of a Vertical Steel Tank

2021 ◽  
Author(s):  
A. E. Lebedev ◽  
A. B. Kapranova ◽  
I. S. Gudanov ◽  
D. S. Dolgin ◽  
A. A. Vatagin
Keyword(s):  
Strain State ◽  
Annular Plate ◽  
Stress Strain ◽  
Stress Strain State ◽  
Plate Size ◽  
Steel Tank

scholarly journals The elastic stability of an annular plate

1924 ◽  
Vol 106 (737) ◽  
pp. 268-284 ◽  
Keyword(s):  
Annular Plate ◽  
Practical Interest ◽  
Middle Surface ◽  
Elastic Stability ◽  
Thin Plates ◽  
Thin Shells ◽  
Stability Equation ◽  
Inner Radius ◽  
Plane Plate ◽  
The Stability

1. Introduction and Summary. —This paper deals with the elastic stability of a circular annular plate under uniform shearing forces applied at its edges. Investigations of the stability of plane plates are altogether simpler than those necessary in the case of curved plates or shells. In the first place, as shown by Mr. R. V. Southwell, two of the three equations of stability relate to a mode of instability that is not of practical interest, and are entirely independent of the third equation which gives the ordinary mode of instability resulting in the familiar bending of the middle surface of the plate. Consequently with a plane plate there is only one equation of stability to be solved, as contrasted with the case of a shell where the three equations are dependent, and must all be solved. In the second place the theory of thin shells can be used with confidence in a plane plate problem, though a more laborious procedure is necessary to deal adequately with a shell. The only stability equation required for the annular plate is therefore deduced without trouble from the theory of thin shells, and its solution presents no difficulty in the case of uniform shearing forces. A numerical discussion is given of the stability of the plate under such forces, the “favourite type of distortion” and the stess that will produce it being obtained for plates with clamped edges in wich the ratio of the outer to the inner radius exceeds 3·2. To some extent to results have been checked by experiment, in which part of the work the viter is indebted to Prof. G. I. Taylor for his valuable help and advice. Distrtion of the type predicted by the theory took place in the two thin plates of rober different ratio of radii, which were used. The disposition of the loci of points which undergo maximum normal displace nt gives some idea of the appearance of the plate after distortion has taken pce. The points have been calculated for a plate in which the ratio of radii 4·18, and the loci are shown on a diagram, which may be compared with a potograph of a distorted plate in which this ratio is 4·3. The ratio of normal dplacements of points of the plate can be seen from contours drawn on the ne diagram. (See pp. 280, 281.)

scholarly journals Bending of an incomplete annular plate and related problems

1979 ◽  
Vol 14 (3) ◽  
pp. 103-109 ◽  
Author(s):  
J R Barber
Keyword(s):  
Stress Concentration ◽  
Closed Form ◽  
Circular Plate ◽  
Annular Plate ◽  
Infinite Plate ◽  
Concentration Data ◽  
Closed Form Solutions ◽  
Concentrated Forces

Closed-form solutions and stress-concentration data are obtained for the problem of a sector of an annular plate subjected to moments and transverse forces on its radial edges. Closed-form solutions are also given for a semi-infinite plate or a circular plate subjected to a system of concentrated forces and/or moments at the edge.

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