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Dynamic Analysis of Rotating Annular Disk of Variable Thickness under Uniform Axial Pressure

The large-amplitude free vibration analysis of a rotating annular disk of exponentially varying thickness, subjected to uniform axial pressure, is presented. The entire formulation is energy-based and uses variational principles to derive the governing equations. The study is carried out up to the onset of yielding, which occurs due to the application of two types of external loadings, namely body force due to rotation and uniform axial pressure. The results are compared for three exponential disks having the same mass. The effects of the individual loadings and their combination on the free vibration dynamic behavior are presented.