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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
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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

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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