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.
Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia
This paper is dedicated to blessed memories of our teachers, Professors V.V. Bolotin (1926–2008) and A.L. Goldenveizer (1910–2003), who instilled in us unyielding love of structural mechanics.
Manuscript received May 29, 2015; final manuscript received October 29, 2015; published online December 11, 2015. Assoc. Editor: Prashant K Purohit.
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Elishakoff, I., Kaplunov, J., and Nolde, E. (December 11, 2015). "Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia." ASME. Appl. Mech. Rev. November 2015; 67(6): 060802. https://doi.org/10.1115/1.4031965
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