Skip to main content

Research Repository

Advanced Search

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

Elishakoff, Isaac; Kaplunov, Julius; Nolde, Evgeniya

Authors

Isaac Elishakoff

Evgeniya Nolde



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.

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

You might also like



Downloadable Citations