On a check on the accuracy of Timoshenko's beam theory

Stephen, N.G. (2002) On a check on the accuracy of Timoshenko's beam theory Journal of Sound and Vibration, 257, (4), pp. 809-812. (doi:10.1006/jsvi.2001.4236).


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In a recent article, Rneton (1) presented a comparison between the standing wave natural frequency predictions of Timoshenko beam theory (TBT) for a long beam of thin rectangular cross-section, when the flexural mode is sinusoidal in the axial co-ordinate x, and those of a plane stress elastodynamic solution; the latter may be regarded as the exact benchmark. Renton's main concern was the accuracy of the lower of the two frequency predictions of TBT (TBT1), although the results presented in Figure 1 of reference (1) also show the frequency prediction of the so-called second spectrum (TBT2), and re-presents evidence that this mode should be disregarded.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1006/jsvi.2001.4236
ISSNs: 0022-460X (print)
ePrint ID: 22098
Date :
Date Event
Date Deposited: 15 Mar 2006
Last Modified: 16 Apr 2017 22:52
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/22098

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