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An Intermediate Theory of Longitudinal Stress Waves in Bars

Sutton, G. W. (1954) An Intermediate Theory of Longitudinal Stress Waves in Bars. California Institute of Technology , Pasadena, CA.

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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.

Item Type:Report or Paper (Technical Report)
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.
Group:Hydrodynamics Laboratory
Funding AgencyGrant Number
Office of Naval Research (ONR)N6onr-24420 (NR 062-059)
Record Number:CaltechAUTHORS:20150505-152252618
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:57247
Deposited On:06 May 2015 16:34
Last Modified:03 Oct 2019 08:22

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