The third approximation in a small parameter to a solution of the problem of elastoplastic instability of a rotating disk

TitleThe third approximation in a small parameter to a solution of the problem of elastoplastic instability of a rotating disk
Publication TypeJournal Article
Year of Publication2019
AuthorsLila, DM
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2019.04.042
Issue4
SectionMechanics
Pagination42-49
Date Published04/2019
LanguageUkrainian
Abstract

We have proposed a way of 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 the plastic zone in the third approximation. We also have found the critical angular rotational velocity.

Keywordsboundary shape perturbation method, critical angular velocity, elastoplastic problem, rotating disc, stability loss
References: 

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