0
RESEARCH PAPERS

Bending Frequency of a Rotating Beam With an Elastically Restrained Root

[+] Author and Article Information
Sen Yung Lee

Mechanical Engineering Department., National Cheng Kung University, Tainan, Taiwan 70101 Republic of China

Yee Hsiung Kuo

Institute of Aeronautics and Astronautics., National Cheng Kung University, Tainan, Taiwan 70101 Republic of China

J. Appl. Mech 58(1), 209-214 (Mar 01, 1991) (6 pages) doi:10.1115/1.2897152 History: Received October 30, 1989; Revised March 19, 1990; Online March 31, 2008

Abstract

Upper and lower bounds of the fundamental bending frequency of a rotating uniform beam with an elastically restrained root are obtained by the Rayleigh’s and minimum principles, respectively. It is shown that the fundamental bending frequency of the rotating uniform beam with rotational flexibility only is always higher than that of the nonrotating beam. If the setting angle is not equal to zero, the fundamental bending frequency of the rotating uniform beam with translational flexibility can be less than that of the nonrotating beam, and the phenomenon of divergence instability (tension buckling due to the centrifugal force) may occur. Finally, the influence of hub radius, setting angle, rotational speed, and elastic root restraints on the fundamental bending frequency of the beam is also investigated numerically by the transfer matrix method.

Copyright © 1991 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In