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The Effect of Material Damping on In-Plane Vibration Characteristics of Rotating Disk

The influence of material damping for rotating annular disk on its vibrations characteristic is considered. The material damping is assumed to be a liner viscoelastic with complex elastic moduli. The mathematical model used for the rotating disk is based on plane-stress elastodynamic theory. The governing equation of motion is developed and analytical solution is provided to determine dimensionless natural frequency, mode shapes and modal loss factor for several modes of vibration of disk with inner side fixed and outer side of disk is free. The computed results for the wide range of non-dimensional rotation speed are presented. It was observed that the effects of rotational speed and hysteretic damping ratio on natural frequency and elastic stability of the rotating disks were related to the mode of vibration and type of circumferential wave occurring.

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