Analytical approximations for elastic limit angular velocities of rotating annular disks with hyperbolic thickness

This study aims to determine the elastic limit angular velocities of non-uniform rotating annular disks by using two different powerful analytical approximation methods called improved Adomian decomposition method (IADM) and optimal homotopy asymptotic method (OHAM) that are used for the first time to investigate the problem. The material properties are assumed to be constant across the entire disk. Two-dimensional plane stress theory is assumed for the formulation. The results are compared with the exact results available in the literature. The computed stress distributions and the radial displacements are depicted in graphics. It is observed that the results obtained in the study are in excellent agreement with the exact results while the proposed methods reduce the computational work. This verifies the IADM and OHAM are robust and effective analytical approximation techniques to conduct the analysis of limit angular velocities of the annular rotating disks with variable thickness. It is also shown that the convergence of OHAM is faster than IADM.