Development of instability in a rotating elastoplastic annular disk |
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Authors: | D M Lila AA Martynyuk |
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Institution: | 1. Bogdan Khmelnitsky Cherkassy National University, 81 Shevchenko Av., Cherkassy, Ukraine, 18031 2. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St., Kyiv, Ukraine, 03057
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Abstract: | The paper proposes a method, based on perfect-plasticity and perturbation theories, for instability analysis of an annular
flat disk tightly set on a shaft with no interference fit. The perturbed elastoplastic state of the rotating disk is analyzed
by determining the stress–strain state of a fixed elastic annular plate under in-plane loading. A characteristic equation
of the first order for the critical radius of the plastic zone in the disk subject to internal pressure is derived. The critical
rotation rate is calculated for different parameters of the disk |
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