Nonlinear First Yield Analysis of Circular Plates Subjected to Combined Uniform Pressure and Edge Compression

2009 ◽  
Author(s):  
G.J. Turvey ◽  
H. Drinali
Keyword(s):  
Uniform Pressure ◽  
Circular Plates ◽  
Yield Analysis

An Approximate Analysis of Circular Plates With Variable Thickness

1982 ◽  
Vol 104 (3) ◽  
pp. 533-535
Author(s):  
A. K. Naghdi
Keyword(s):  
Variable Thickness ◽  
Simple Technique ◽  
Bending Moment ◽  
The Other ◽  
Uniform Pressure ◽  
Approximate Analysis ◽  
Circular Plates ◽  
Numerical Examples ◽  
Classic Theory ◽  
Rotationally Symmetric

Based on classic theory of beams and certain modifications, a simple technique is derived in order to obtain an approximate value of the maximum bending moment in a rotationally symmetric circular plate with a variable thickness. It is assumed that one of the two concentric boundaries of the plate is clamped, and the other is free. Numerical examples for both cases of constant and variable thickness plates subject to uniform pressure or rim line loading are presented.

Bending stresses in thin circular plates with single eccentric circular holes

1976 ◽  
Vol 11 (4) ◽  
pp. 202-224 ◽  
Author(s):  
E Ollerton
Keyword(s):  
Circular Hole ◽  
Uniform Pressure ◽  
Plate Surface ◽  
Circular Plates ◽  
Concentrated Force ◽  
Simply Supported ◽  
Bending Stresses ◽  
Circular Holes

The bending stresses in thin circular plates having a single eccentric circular hole and small deflections are reported. The plates can have any mixture of clamped and simply supported boundaries, and can be subjected to a concentrated force uniformly distributed round the inner boundary, moments about two perpendicular axes, or uniform pressure on the plate surface. A previous paper (1)∗ has described the method of analysis using bipolar co-ordinates, and has given values for deflection and slope coefficients for varying diameter ratios and eccentricities under the loads described above. The present paper discusses the stresses found in the plates under the same conditions.

Elastic Deformations of Strips and Circular Plates Under Uniform Pressure

1986 ◽  
Vol 53 (4) ◽  
pp. 873-880
Author(s):  
S. Im ◽  
R. T. Shield
Keyword(s):  
Rectangular Plate ◽  
Small Strain ◽  
Structural Theory ◽  
Thin Plates ◽  
Elastic Behavior ◽  
Uniform Pressure ◽  
Circular Plates ◽  
Consistent Theory ◽  
Elastic Deformations ◽  
Linear Elastic

A consistent theory for linear elastic behavior in which the strains are small but in which the displacements and rotations can be large is applied to the bending of a long rectangular plate and of a circular plate by uniform pressure. Within the range of small-strain, linear elastic behavior, the theory provides solutions for all slenderness ratios of the plates and magnitudes of the loading. Thus the theory bridges the gap between the classical theory and the nonlinear structural theory of Fo¨ppl and von Ka´rma´n. The results show that the von Ka´rma´n equations provide accurate solutions for thin plates for which deflections are not small.

Holographic Inspection of Plates Containing Areas of Localized Thickness Variation

1994 ◽  
Vol 116 (2) ◽  
pp. 162-167 ◽  
Author(s):  
H. M. Shang ◽  
M. Lwin ◽  
T. E. Tay
Keyword(s):  
Visual Detection ◽  
Accurate Estimation ◽  
Thickness Variation ◽  
Uniform Pressure ◽  
Circular Plates ◽  
Double Exposure ◽  
Simple Method ◽  
Exposure Holography ◽  
Fringe Patterns

Circular plates, under unknown clamping conditions and containing simulated defects in the form of circular localized thinning or thickening, are inspected by double-exposure holography. With an incremental uniform pressure applied between exposures, eccentric defects are readily revealed from the distinct irregular fringe patterns. In the case of central circular defects, however, the absence of distinct irregular fringe patterns does not enable easy visual detection of the defects. The simple method of analysis described in this paper, based on the fact that the displacement in a defective plate differs from that in a defect-free plate, allows easy deduction of central and eccentric defects from the fringe patterns. Furthermore, this method enables identification of the type of defect (localized thinning or thickening), the extent of thickness variation, as well as an accurate estimation of the location and size of the defect.

A Generalized Reissner Theory for Large Axisymmetric Deflections of Circular Plates

2013 ◽  
Vol 81 (3) ◽  
Author(s):  
Raymond H. Plaut
Keyword(s):  
Shear Deformation ◽  
Shooting Method ◽  
Plate Thickness ◽  
Uniform Pressure ◽  
Circular Plates ◽  
Equilibrium Equations ◽  
Simply Supported ◽  
Reissner Theory ◽  
Large Rotations ◽  
Axisymmetric Problems

A generalized Reissner theory for axisymmetric problems of circular plates is presented. The plate is assumed to be linearly elastic, and large rotations and strains are allowed. Shear deformation and changes in the plate thickness are neglected. Equilibrium equations are formulated, and a shooting method is applied to obtain numerical results for plates subjected to a uniform pressure. The edge of the plate is assumed to be either simply supported or clamped, and is free to move radially. The resulting deflections are compared to those based on the von Kármán theory.

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