Large Deflection of Tapered Annular Plates by Dynamic Relaxation

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Abstract
It is asserted that the use of fictitious densities based on Gerschgorin bounds in the Dynamic Relaxation (DR) method of analysis leads to improved convergence characteristics. The validity of this assertion is demonstrated by comparing large deflection, variable thickness, circular plate results produced by Murthy and Sherbourne's DR program, which is based on arbitrarily chosen fictitious densities, and the present program. The latter is used to produce a number of solutions to variable thickness annular plates subject to a uniform lateral load. Results are presented for two hole sizes and three thickness taper ratios.

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