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http://hdl.handle.net/11189/3413| Title: | Comparison of linear beam theories | Authors: | Labuschagne, A van Rensburg, N.F.J. Van der Merwe, Alna |
Keywords: | Vibration;Beam;Timoshenko;Euler–Bernoulli | Issue Date: | 2008 | Publisher: | Elsevier | Source: | Labuschagne, A., van Rensburg, N. J., & Van der Merwe, A. J. (2009). Comparison of linear beam theories. Mathematical and Computer Modelling, 49(1), 20-30. | Abstract: | In this paper we consider three models for a cantilever beam based on three different linear theories: Euler–Bernoulli, Timoshenko and two-dimensional elasticity. Using the natural frequencies and modes as a yardstick, we conclude that the Timoshenko theory is close to the two-dimensional theory for modes of practical importance, but that the applicability of the Euler–Bernoulli theory is limited. | Description: | Labuschagne, A., van Rensburg, N. J., & Van der Merwe, A. J. (2009). Comparison of linear beam theories. Mathematical and Computer Modelling, 49(1), 20-30. DOI: http://dx.doi.org/10.1016/j.mcm.2008.06.006 | URI: | http://dx.doi.org/10.1016/j.mcm.2008.06.006 http://hdl.handle.net/11189/3413 |
| Appears in Collections: | Eng - Journal articles (DHET subsidised) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Labuschagne_A_van_Rensburg_NFJ_van_der_Merwe_AJ_Eng_2008.pdf | Main Article | 545.25 kB | Adobe PDF | View/Open |
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