Response of Two-Degree-of-Freedom Rotating Machinery System With Quadratic Nonlinearity

A two-degree-of-freedom model of a rotating machine with nonlinear springs of quadratic type is studied. The multiple scales method is used to investigate the nonlinear oscillations of the forced system where the forcing is due to the eccentricity e of the rotor about its center of mass. The behavio...

Full description

Saved in:
Bibliographic Details
Published in:Journal of energy resources technology 1990-06, Vol.112 (2), p.103-113
Main Authors: Ertas, A, Anlas, G
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Machine components
Mechanical engineering. Machine design
Others
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A two-degree-of-freedom model of a rotating machine with nonlinear springs of quadratic type is studied. The multiple scales method is used to investigate the nonlinear oscillations of the forced system where the forcing is due to the eccentricity e of the rotor about its center of mass. The behavior of the system for the primary resonances Ω = ω1, Ω = ω2, and internal resonance ω2 = 2ω1 is analyzed. Other features, such as amplitude jump and saturation phenomenon, have been observed. The amplitudes versus detuning parameters for both cases are plotted. The critical values of mass ratios and spring ratios for the presence of an internal resonance are studied and interpreted for this particular application.
ISSN:0195-0738
1528-8994
DOI:10.1115/1.2905716