Maximizing the Natural Frequencies and Transverse Stiffness of Centrally damped, Circular Disks by Thickening the Clamped Part of the Disk

[+] Author and Article Information
A. A. Renshaw

Department of Mechanical Engineerin, Columbia University, M/C. 4703, New York, NY 10027

J. Appl. Mech 66(4), 1017-1021 (Dec 01, 1999) (5 pages) doi:10.1115/1.2791772 History: Received February 10, 1999; Revised May 04, 1999; Online October 25, 2007


The natural frequencies and transverse stiffness of centrally damped, circular disks are computed taking into account the flexibility of the central clamp and the thickness of the damped part of the disk. When compared to experimental vibration data, these predictions are more accurate than the traditional, perfect clamping predictions, particularly, for zero and one-nodal-diameter vibration modes. The reduction in natural frequency or transverse stiffness caused by clamping flexibility can be mitigated either by increasing the clamping stiffness or by increasing the hub thickness, defined here as the thickness of the disk sandwiched by the central clamp. A design study of these two alternatives for both stationary and rotating disks shows that increasing the hub thickness is often a more attractive design alternative.

Copyright © 1999 by The American Society of Mechanical Engineers
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