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Natural Frequencies of Long Tapered Cantilevers

Published online by Cambridge University Press:  07 June 2016

W. Carnegie  and
J. Thomas
W. Carnegie
Affiliation:
Department of Mechanical Engineering, University of Surrey
J. Thomas
Affiliation:
Department of Mechanical Engineering, University of Surrey
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Summary

The effect of depth taper on the flexural vibration characteristics of a beam of uniform width is investigated in this paper. The frequency parameters and mode shapes for the first five modes of vibration of tapered beams are presented for a wide range of depth taper. The Euler-Bernoulli equation of a beam is reduced to an eigenvalue problem and its eigenvalues and eigenvectors are obtained by using a digital computer. The theoretical results are compared with those of other authors and with the experimental results.

Type
Research Article
Information
Aeronautical Quarterly , Volume 18 , Issue 4 , November 1967 , pp. 309 - 320
Copyright
Copyright © Royal Aeronautical Society. 1967

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References

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