The second approximation in a small parameter to the solution of the problem of loss of the stability of a rotating disk in the refined formulation

1Lila, DM
1Bohdan Khmelnytsky National University of Cherkasy
Dopov. Nac. akad. nauk Ukr. 2018, 7:33-39
https://doi.org/10.15407/dopovidi2018.07.033
Section: Mechanics
Language: Russian
Abstract: 

We have proposed a way of the investigation of the possible loss of stability by a rotating thin circular disk by the method of small parameter. We have obtained a characteristic equation for the critical radius of plastic zone in the second approximation in a small parameter on the basis of Saint-Venant's yield condition. We also have found the critical angular rotational velocity.

Keywords: boundary shape perturbation method, critical angular velocity, elastoplastic problem, rotating disc, stability loss
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