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Elishakoff, I, Kaplunov, J and Nodle, E (2015) Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia. Applied Mechanics Reviews, 67 (6). ISSN 1088-8535

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Abstract

This study revisits Timoshenko beam theory (TBT). It discusses at depth a more consistent and simpler governing differential equation. The so-called second spectrum is also addressed. Then, we provide the asymptotic justification of the aforementioned differential equation along with detailed discussion of the boundary and initial conditions. The paper also presents remarks of historical character, in the context of other pertinent studies.

Item Type: Article
Uncontrolled Keywords: Rotational inertia, Shear deformation, Vibration, Shear (Mechanics), Boundary-value problems, Stress, Inertia (Mechanics), Simply supported beams, Euler-Bernoulli beam theory, Plates (structures)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 21 Jan 2016 11:32
Last Modified: 23 Apr 2019 10:33
URI: https://eprints.keele.ac.uk/id/eprint/1400

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