Tennessee State University, USA
Title: Vibration and stability analysis of high speed rotating annular disks and rings
Biography: Hamid R Hamidzadeh
An analytical solution is developed to conduct modal analysis for the in-plane vibration of high speed viscoelastic rotating annular disks and rings. In development of this analytical approach, two-dimensional elasto-dynamic theory is employed and the viscoelastic material for the medium is allowed by assuming complex elastic moduli. The general governing equations of motion are presented and a solution for a rotating disk with different boundary conditions is developed. Computed results for a wide range of rotating speeds and radius ratios, such as those for solid disks or thin rings are provided. The proposed solution is used to investigate the influences of hysteretic material damping on dimensionless natural frequencies and modal loss factors for the rotating disks. In addition, the solution presents non-dimensional critical speeds of rotation for any given disk. Moreover the analysis is extended to consider the effect of adding disk segment, with different material on the inner or outer sides of a disk, on the natural frequencies and critical speeds of the equivalent single disk. The dimensionless results for these cases are also depicted for a wide range of rotational speeds.