Masters Theses

Abstract

"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.

Advisor(s)

Basye, C. B.

Committee Member(s)

Hornsey, Edward
Rocke, R. D. (Richard Dale), 1938-

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Engineering Mechanics

Publisher

University of Missouri--Rolla

Publication Date

1971

Pagination

iv, 90 pages

Note about bibliography

Includes bibliographical references (pages 13-14).

Rights

© 1971 David Arthur Levene, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Elastic rods and wires -- Vibration -- Mathematical models
Damping (Mechanics)
Viscoelasticity

Thesis Number

T 2587

Print OCLC #

6037101

Electronic OCLC #

872389116

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