Circular Elastic Plates on Elastic Unilateral Edge Supports

1988 ◽  
Vol 55 (3) ◽  
pp. 624-628 ◽  
Author(s):  
Zekai Celep ◽  
Dog˘an Turhan ◽  
Rajeh Zaid Al-Zaid
Keyword(s):  
Circular Plate ◽  
Poisson’S Ratio ◽  
Spring Constant ◽  
Poisson's Ratio ◽  
Elastic Plates ◽  
Circular Arc ◽  
Elastic Circular Plate

The response of an elastic circular plate supported unilaterally by elastic springs along its edge is studied. A load which is uniformly distributed along a circular arc of the plate is considered. The loss of the contact along the edge of the plate, the variations of deflections and those of reactions are presented. The influences of the position of loading, the spring constant, and Poisson’s ratio are shown in various figures.

Effect of longitudinal stress on wave propagation in width-constrained elastic plates with arbitrary Poisson's ratio

2015 ◽  
Vol 252 (7) ◽  
pp. 1615-1619 ◽  
Author(s):  
Paweł Sobieszczyk ◽  
Marcin Majka ◽  
Dominika Kuźma ◽  
Teik-Cheng Lim ◽  
Piotr Zieliński
Keyword(s):  
Wave Propagation ◽  
Poisson’S Ratio ◽  
Poisson's Ratio ◽  
Elastic Plates ◽  
Longitudinal Stress

Bending of a circular plate with an eccentric circular patch symmetrically loaded with respect to its centre

1956 ◽  
Vol 52 (3) ◽  
pp. 584-598 ◽  
Author(s):  
W. A. Bassali ◽  
R. H. Dawoud
Keyword(s):  
Boundary Condition ◽  
Circular Plate ◽  
Complex Variable ◽  
Poisson’S Ratio ◽  
Complex Variable Method ◽  
Variable Method ◽  
Poisson's Ratio ◽  
General Boundary ◽  
General Boundary Condition ◽  
Circular Patch

ABSTRACTThe complex variable method is applied to obtain solutions for the deflexion of a supported circular plate with uniform line loading along an eccentric circle under a general boundary condition including the clamped boundary , a boundary with zero peripheral couple , a boundary with equal boundary cross-couples , a hinged boundary and a boundary for which , η being Poisson's ratio. These solutions are used to obtain the deflexion at any point of a circular plate having an eccentric circular patch symmetrically loaded with respect to its centre. Expressions for the slope and cross-couples over the boundary and the deflexions at the centres of the plate and the loaded patch are obtained.

The Deflection of a Uniformly Loaded Circular Plate Supported by a Concentric Ring

1963 ◽  
Vol 67 (631) ◽  
pp. 452-454
Author(s):  
S. A. Urry
Keyword(s):  
Circular Plate ◽  
Poisson’S Ratio ◽  
Poisson's Ratio ◽  
Slight Variation ◽  
Concentric Ring ◽  
Ring Radius ◽  
Supporting Ring

SummaryFor a given plate and loading the optimum supporting ring radius is shown to be approximately 0·677a, there being a slight variation with Poisson’s ratio.The “edge square” condition, i.e. zero slope at the circumference of the plate, is also investigated. It is satisfied by a ring radius of , a result which is independent of Poisson’s ratio.Macaulay’s brackets are used in the analysis as an example of their value in circular plate problems.

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