Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-24T17:42:55.039Z Has data issue: false hasContentIssue false
  • English
  • Français

Vibration of Non-Uniform Beams

Published online by Cambridge University Press:  07 June 2016

G. M. Lindberg
G. M. Lindberg*
Affiliation:
Engineering Department, University of Cambridge
Get access

Summary

A method of deriving a dynamic stiffness matrix for any non-uniform beam is presented. In particular, the case of a linearly tapered cantilever beam is considered, and excellent results are found with the use of only a few elements.

Type
Research Article
Information
Aeronautical Quarterly , Volume 14 , Issue 4 , November 1963 , pp. 387 - 395
Copyright
Copyright © Royal Aeronautical Society. 1963

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Leckie, F. A. and Lindberg, G. M. The Effect of Lumped Parameters on Beam Frequencies. Aeronautical Quarterly, Vol. XIV, p. 224, August 1963.Google Scholar
2. Housner, G. W. and Keightley, W. O. Vibrations of Linearly Tapered Cantilever Beams. Proceedings of the American Society of Civil Engineers, Vol. 88, No. E.M.2, p. 95, April 1962.Google Scholar
3. Rissone, R. F. and Williams, J. J. Discussion on “Vibrations of Linearly Tapered Cantilever Beams.” Proceedings of the American Society of Civil Engineers, Vol. 88. No. E.M.5, p. 191, October 1962.Google Scholar