Effect of anisotropy on inertio-elastic instability of rotating disks

In the classical approach of determining the stresses and displacements due to a centrifugal force in rotating disks, the inertia force considered does not include the radial displacement thus yielding stable solutions. Inclusion of the displacement in the centrifugal force results in instability at certain rotational speeds. The present study addresses the problem of instability in rotating polar-orthotropic disks. Following a brief outline of the classical analysis, the stress redistribution solutions are presented. The solutions are obtained in terms of non-dimensional parameters. The parameter de®ned as the ratio of circumferential sti€ness to radial sti€ness has been found to have the most considerable e€ect on the critical rotational speed. Various cases are considered, and the corresponding critical rotational parameters are presented in tables. The comparison of stresses obtained from the classical approach with the redistributed stresses is displayed graphically