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Development of instability in a rotating elastoplastic annular disk
Authors:D. M. Lila  A.A. Martynyuk
Affiliation: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
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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