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Further insights into the Timoshenko-Ehrenfest beam theory

Banerjee, J.R., Kennedy, D. ORCID: and Elishakoff, I. 2022. Further insights into the Timoshenko-Ehrenfest beam theory. Journal of Vibration and Acoustics 144 (6) , 061011. 10.1115/1.4055974

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In this paper, the theory of a Timoshenko-Ehrenfest beam is revisited and given a new perspective with particular emphasis on the relative significances of the parameters underlying the theory. The investigation is intended to broaden the scope and applicability of the theory. It has been shown that the two parameters that characterise the Timoshenko-Ehrenfest beam theory, namely the rotary inertia and the shear deformation, can be related and hence they can be combined into one parameter when predicting the beam's free vibration behaviour. A theoretical proof is given that explains why the effect of the shear deformation on the free vibration behaviour of a Timoshenko-Ehrenfest beam for any boundary condition will be always more pronounced than that of the rotary inertia. The range of applicability of the Timoshenko-Ehrenfest beam theory for realistic problems is demonstrated by a set of new curves, which provide considerable insights into the theory.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: American Society of Mechanical Engineers (ASME)
ISSN: 1048-9002
Date of First Compliant Deposit: 17 October 2022
Date of Acceptance: 10 October 2022
Last Modified: 06 Jan 2024 20:56

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