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e-Prints Soton
Article . 2006 . Peer-reviewed
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Sound&Vibration
Article . 2006
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Journal of Sound and Vibration
Article . 2006 . Peer-reviewed
License: Elsevier TDM
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On the valid frequency range of Timoshenko beam theory

Authors: Stephen, N.G.; Puchegger, S.;

On the valid frequency range of Timoshenko beam theory

Abstract

Abstract The frequency equation of Timoshenko beam theory factorises for hinged–hinged end conditions, leading to a first and second spectrum of natural frequencies; the latter is largely inaccurate and can be isolated and disregarded. For the majority of other end conditions, when the frequency equation does not factorise, one may think in terms of pseudo-second spectrum contributions arising when evanescent waves become propagating above the cut-off frequency ω co = κ AG / ρ I , and it is conjectured that these may have a corrupting effect on the frequency predictions. Comparisons with measured and simulated frequencies lead to the conclusion that Timoshenko predictions above the cut-off frequency should be disregarded for those end conditions for which the frequency equation does not factorise.

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Keywords

Astronomy, 1030 Physics, 1030 Physik, Astronomie, 530, 510

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
65
Top 10%
Top 10%
Top 10%
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