On a check on the accuracy of Timoshenko's beam theory
On a check on the accuracy of Timoshenko's beam theory
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.
809-812
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
2002
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Stephen, N.G.
(2002)
On a check on the accuracy of Timoshenko's beam theory.
Journal of Sound and Vibration, 257 (4), .
(doi:10.1006/jsvi.2001.4236).
Abstract
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.
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Published date: 2002
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Local EPrints ID: 22098
URI: http://eprints.soton.ac.uk/id/eprint/22098
ISSN: 0022-460X
PURE UUID: 1e7adfab-4866-40ab-8b3b-7182bf27364c
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Date deposited: 15 Mar 2006
Last modified: 15 Mar 2024 06:35
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