Eccentric form of the loss of stability of a rotating stepped.

Authors

  • D.M. Lila Черкасский национальный университет имени Богдана Хмельницкого

Keywords:

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

Abstract

A procedure for investigation of possible stability loss by a rotating elastoplastic stepped circular disc by the method of small parameter is proposed. A characteristic equation for the critical radius of the plastic zone is obtained as a first approximation. The values of critical angular rotational velocity for various parameters of the disc are found numerically.

Author Biography

D.M. Lila, Черкасский национальный университет имени Богдана Хмельницкого

кандидат физико-математических наук, доцент кафедры математики и методики обучения математике

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Issue

No. 1/2 (2016)

Section

Mathematics