Abstract
Thin, ring-shape disks are used as the standard specimens in spin tests. To investigate the deformation/failure behaviors of the specimen under centrifugal loading, stress analysis of the rotating disk is necessary. Although there are many analyses about isotropic or cylindrical anisotropic rotating disks, no closed-form solution is found for rotating rings with Cartesian anisotropy. In this paper, an approximate analyzing approach based on Ritz's method is proposed to analyze the deformation characteristics of a cubic anisotropic ring under centrifugal loading. Approximate expressions of displacement components are proposed, which contain 15 unknown coefficients. The potential energy of the disk is calculated. By using variation theory, the unknown coefficients are solved and the disk's deformation behavior becomes known. Analytical results from present approach are compared to FEM's. It is found that the displacement results from both analyses agree very well, with error less than 1%. The major stress component results agree well with each other, too.
