Masters Theses

Abstract

"The response of viscous damped, cubic spring systems to excitations having exponentially varying frequency cannot be written in a closed form. This report summarizes a numerical investigation of hardening and softening cubic systems influenced by these excitations and provides information concerning the effects of varying viscous damping, system nonlinearity, and excitation sweep rate on system behavior near resonance. Results are reported in terms of maximum response attained during sweeping and the frequency at which maximum response occurs.

It has been found that if hardening cubic systems are subjected to sweeping excitations wherein the frequency sweeps down through resonance, the maximum response and the frequency at which the maximum response occurs will be considerably lower than those produced by a sweeping excitation wherein the frequency sweeps up through resonance. As nonlinearity is increased in a hardening cubic system, the maximum response is decreased during sweeping and occurs at a higher frequency. This behavior is found to be true for excitations sweeping up as well as for excitations sweeping down in frequency.

For a softening cubic system, regions of instability have been found to exist which are similar to those published for softening cubic systems influenced by steady-state sinusoids. The effects of damping ratio and excitation sweep rate and direction on the boundary between the regions of stability and instability for such systems are investigated"-- Abstract, p. ii

Advisor(s)

Cronin, Don

Committee Member(s)

Barker, Clark R.
Pagano, Sylvester J., 1924-2006

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1974

Pagination

viii, 74 pages

Note about bibliography

Includes bibliographical references (pages 63-65)

Rights

© 1974 MD. Mosharraf Hossain, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 4006

Print OCLC #

5981728

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