A Technical Theory of Dynamical Torsion for Beams of any Cross-Section Shapes

[+] Author and Article Information
D. Gay, R. Boudet

Department de Mecanique, Institut National des Sciences Appliquees, Toulouse, Cerdex, France

J. Mech. Des 102(3), 627-632 (Jul 01, 1980) (6 pages) doi:10.1115/1.3254795 History: Received June 07, 1979; Online November 17, 2009


In order to study the free torsional oscillations of beams, two parameters are introduced—a torsion parameter and a warping parameter—each of them by means of a statistical definition. Using the classical hypothesis of strength of materials, we reduce the dynamical comportment of the beam to a one-dimensional comportment. The four basic relations obtained present a similar form with those of bending motion of a Timoshenko beam. Hence equation of torsional motion is derived and usual cases of boundary conditions relevant to the problem are given. We conclude with a view of the possibilities of the theory, particularly in the numerical area of structural dynamics.

Copyright © 1980 by ASME
Topics: Torsion , Shapes
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