A Theory of Torsional and Coupled Bending Torsional Waves in Thin-Walled Open Section Beams

[+] Author and Article Information
H. R. Aggarwal

Stanford Research Institute, Menlo Park, Calif.

E. T. Cranch

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, N. Y.

J. Appl. Mech 34(2), 337-343 (Jun 01, 1967) (7 pages) doi:10.1115/1.3607687 History: Received April 26, 1966; Online September 14, 2011


An appropriate torsion or coupled bending torsion theory is developed for the dynamic behavior of thin-walled open section beams. A new, more accurate set of governing equations is established which eliminate the short-wavelength defects of both the Saint-Venant and Timoshenko torsion theories. This theory, which includes warping and associated effects of longitudinal inertia and transverse shear deformation, while agreeing with previous theories for large wavelengths, leads to satisfactory finite wave velocities for short wavelengths and high frequencies. Dispersion and group velocity curves for wide-flanged and channel sections are displayed.

Copyright © 1967 by ASME
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