Published May 6, 2015
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An Intermediate Theory of Longitudinal Stress Waves in Bars
- Creators
- Sutton, G. W.
Abstract
The expressions for kinetic and strain energy for longitudinal stress waves in a bar are considered, first in a one-dimensional model in which cross sections are assumed to remain plane, and stresses in the radial and circumferential direction are assumed to be zero. From this, an equation of motion is derived which is used to determine the speed of longitudinal sinusoidal stress waves as a function of wave length. Secondly, a simplified three-dimensional model is considered where the axial motion is a parabolic function of the radius, from which the speed of sinusoidal stress waves is derived. The derived expressions are compared with previously published solutions.
Additional Information
Report No. 21-18 September, 1954. Approved by: G. W. Housner. Office of Naval Research Department of the Navy Contract N6onr-24420 (NR 062-059). This study was supported in part by the U. S. Navy Office of Naval Research, Mechanics Branch. The author wishes to thank Dr. G. W. Housner of the Engineering Division of the California Institute of Technology for his many comments and suggestions.Attached Files
Submitted - 21-18.pdf
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21-18.pdf
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Additional details
- Eprint ID
- 57247
- Resolver ID
- CaltechAUTHORS:20150505-152252618
- N6onr-24420 (NR 062-059)
- Office of Naval Research (ONR)
- Created
-
2015-05-06Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field
- Caltech groups
- Hydrodynamics Laboratory