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A Generalized Reissner Theory for Large Axisymmetric Deflections of Circular Plates

[+] Author and Article Information
Raymond H. Plaut

Fellow ASME
Department of Civil and Environmental Engineering,
Virginia Polytechnic Institute and State University,
Blacksburg, VA 24061
e-mail: rplaut@vt.edu

Contributed by the Applied Mechanics Division of ASME for publication in the Journal of Applied Mechanics. Manuscript received January 25, 2013; final manuscript received April 13, 2013; accepted manuscript posted September 3, 2013; published online September 18, 2013 Assoc. Editor: George Kardomateas.

J. Appl. Mech 81(3), 034502 (Sep 18, 2013) (3 pages) Paper No: JAM-13-1049; doi: 10.1115/1.4024413 History: Received January 25, 2013; Revised April 13, 2013; Accepted September 03, 2013

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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References

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Figures

Grahic Jump Location
Fig. 1

Deformed plate segment along a radius

Grahic Jump Location
Fig. 2

Normalized central deflection as function of normalized pressure for clamped and simply supported movable edges, with ν = 0.3; solid curves for GR theory with a/h = 50, dots for von Kármán theory

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