Research Article
Oct 1978
Waves in Constrained Materials and Thin-Walled Beams
Publication: Journal of the Engineering Mechanics Division
Volume 104, Issue 5
Abstract
The propagation condition for plane infinitesimal waves in constrained elastic materials subjected to arbitrary homogeneous strain is derived and found to be the same as a previously known result for the propagation of acceleration waves. The formal structure of the system of equations leading to the propagation condition is analyzed and extended to include more general situations. In particular, a nonlinear formulation of thin walled beam theory in terms of a constrained multidirected curve is covered by such a generalization. This fact is exploited to derive the frequency equations for small vibrations of thin walled elastic beams of open cross-section about an arbitrary uniformly strained state and to obtain critical loads for Euler and lateral buckling. The results are compared with the classical formulas based on a linearized pre-buckling state and the neglect of shear deformations.
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Published In
Journal of the Engineering Mechanics Division
Volume 104 • Issue 5 • October 1978
Pages: 1213 - 1228
Copyright
© 1978 American Society of Civil Engineers.
History
Published in print: Oct 1978
Published online: Feb 3, 2021
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Authors
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Marcelo Epstein
Asst. Prof., Dept. of Mech. Engrg., The Univ. of Calgary, Calgary, Alberta, Canada
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.