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.

1. Burdess, J.S., T. Wren and J.N. Fawcett, “Plane stress vibrations in rotating disks,” Proceedings of Institute of Mechanical Engineers, 201:37-44, 1987. 2. Chen, J.S. and J.L. Jhu, “On the in-plane vibration and stability of a spinning annular disk,” Journal of Sound and Vibration, 195 (4):585–593, 1996. 3. Hamidzadeh, H.R., “In-plane free vibration and stability of rotating annular disks,” Journal of Multi-body Dynamics, 216:371-380, 2002. 4. Deshpande, M. and C.D. Mote, “In-plane vibrations of a thin rotating disk,” Journal of Vibration and Acoustics, 125 (1):68-72, 2003. 5. Bashmal, S., R. Bhat and S. Rakheja, “In-plane free vibration of circular annular disks,” Journal of Sound and Vibration, 322: 216–226, 2009. 6. Sarfaraz, E. and H.R. Hamidzadeh, “Influence of material damping on in-plane modal parameters for rotating disks,” Proceedings of ASEM IMECE2012-86479, Houston, Texas, 2012.
Usage Shares
Total Views
42 Page Views
Total Shares
0 Tweets
0 PDF Downloads
0 Facebook Shares
Total Usage