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Buckling of circular, annular plates of continuously variable thickness used as internal bulkheads in submersibles
Authors:PM CiancioJA Reyes
Institution:Department of Civil Engineering, Universidad Nacional del Centro de la Provincia de Buenos Aires, Av. Del Valle 5737, 7400 Olavarría, Argentina
Abstract:This paper deals with the determination of the critical load in the buckling of isotropic, circular annular thin plates whose thickness varies slightly according to an exponential law.The outer edge of the plate is elastically restrained against rotation while the inner boundary is free. Classical small-deflection theory is used. An hidrostatic pressure acting in the middle plane is considered.The eigenvalues of the problem are obtained by means of an analytical approach based on the optimized Rayleigh-Ritz method. It is shοwnι that the results are in good agreement from an engineering viewpoint, with those available in the literature.
Keywords:Thin annular plates  Continuously variable thickness  Coefficient of buckling  Optimized Rayleigh-Ritz  Uniform loading
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