%0 Journal Article
%T Stability Loss of Rotating Elastoplastic Discs of the Specific Form
%A Dmitrii Makarovich Lila
%A Anatolii Andreevich Martynyuk
%J Applied Mathematics
%P 579-585
%@ 2152-7393
%D 2011
%I Scientific Research Publishing
%R 10.4236/am.2011.25077
%X A method of calculating a possible stability loss by a rotating circular annular disc of variable thickness is suggested within the theory of perfect plasticity with the help of small parameter method. A characteristic equation for a critical radius of a plastic zone is obtained as a first approximation. The formula for the critical angular velocity, determining the stability loss of the disc according to the self-balanced form, is derived. The method using which we can take into account the disc¡¯s geometry and loading parameters is also specified. The efficiency of the proposed method is shown in Section 5 while considering an illustrative example. The values of critical angular velocity of rotating are found numerically for different parameters of the disc.
%K Axisymmetric Elastoplastic Problem
%K Boundary Shape Perturbation Method
%K Rotating Circular Annular Disc
%K Stepped Disc
%K Stability Loss
%K Critical Angular Velocity
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=4809