Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia

Elishakoff, Isaac; Kaplunov, Julius; Nolde, Evgeniya

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.

Citation

Elishakoff, I., Kaplunov, J., & Nolde, E. (2015). Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia. Applied Mechanics Reviews, 67(6), Article ARTN 060802. https://doi.org/10.1115/1.4031965

• Journal Article Type: Article
• Acceptance Date: May 28, 2015
• Online Publication Date: Dec 11, 2015
• Publication Date: 2015-11
• Journal: Applied Mechanics Reviews
• Print ISSN: 0003-6900
• Publisher: American Society of Mechanical Engineers
• Peer Reviewed: Peer Reviewed
• Volume: 67
• Issue: 6
• Article Number: ARTN 060802
• DOI: https://doi.org/10.1115/1.4031965
• Keywords: Rotational inertia, Shear deformation, Vibration, Shear (Mechanics), Boundary-value problems, Stress, Inertia (Mechanics), Simply supported beams, Euler-Bernoulli beam theory, Plates (structures)
• Publisher URL: https://doi.org/10.1115/1.4031965