"Longitudinal vibrations of a finite rod with material damping and frequency dependent material properties are examined. The normal mode method is used to investigate the transient response of a rod which is free to move in the longitudinal direction and is subjected to a transient longitudinal loading condition at one end. The equations of motion are derived and solved using both the differential equations approach and the energy methods approach of the normal mode method. The effects of material damping and frequency dependent material properties are considered by formulating the stress-strain relation for the material such that the modulus of elasticity and an equivalent viscous damping coefficient are functions of the normal modes. Consequently the modulus of elasticity and equivalent viscous damping coefficient are functions of the frequency of vibration. Results of the analysis are compared with published experimental results"--Abstract, page ii.
Basye, C. B.
Rocke, R. D. (Richard Dale), 1938-
Mechanical and Aerospace Engineering
M.S. in Engineering Mechanics
University of Missouri--Rolla
iv, 90 pages
© 1971 David Arthur Levene, All rights reserved.
Thesis - Open Access
Elastic rods and wires -- Vibration -- Mathematical models
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Link to Catalog Record
Levene, David Arthur, "Normal mode method applied to the transient longitudinal vibrations of a finite rod with material damping and viscoelastic dispersion" (1971). Masters Theses. 5501.