The University of Southampton
University of Southampton Institutional Repository

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

Record type: Article

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.

PDF step_02.pdf - Accepted Manuscript
Download (558kB)

Citation

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).

More information

Published date: 2002

Identifiers

Local EPrints ID: 22098
URI: http://eprints.soton.ac.uk/id/eprint/22098
ISSN: 0022-460X
PURE UUID: 1e7adfab-4866-40ab-8b3b-7182bf27364c

Catalogue record

Date deposited: 15 Mar 2006
Last modified: 17 Jul 2017 16:23

Export record

Altmetrics


Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×