Abstract
A generalized Reissner theory for axisymmetric problems of thin circular and annular plates is applied to various problems. The plates are assumed to be linearly elastic, and shear deformation is neglected. Large deflections, rotations, and strains are allowed. The plate edges may be clamped or simply supported, movable or immovable. The types of loading considered are uniform pressure, central concentrated load, uniform edge moment, full ponding, and central rigid hub pushed downward (with or without an elastic foundation). In some cases, the effects of Poisson's ratio and the radius-to-thickness ratio are investigated, and the maximum deflections are compared to those based on von Kármán theory and Reissner theory.
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