On the method of perturbations in the problem of elastoplastic instability of a rotating disk

1Lila, DM
1Bohdan Khmelnytsky National University of Cherkasy
Dopov. Nac. akad. nauk Ukr. 2017, 9:48-54
Section: Mechanics
Language: Russian

In the study of the loss of stability by a rapidly rotating thin circular disk, a possible form of perturbation of the initial contour circle is elucidated. The first four approximations are obtained for the small parameter of the linearized boundary conditions and the conjugation conditions for the solutions.

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