Resonance control for a forced single-degree-of-freedom nonlinear system
Author(s)
Author(s)
Ji, J. C.
Chen, G.
Date Issued
2004
Publisher
World Scientific Publishing Company
Journal
International Journal of Bifurcation and Chaos
Volume
14
Issue
4
Start page
1423
End page
1429
Abstract
The main characteristic of a forced single-degree-of-freedom weakly nonlinear system is determined by its primary, super- and sub-harmonic resonances. A nonlinear parametric feedback control is proposed to modify the steady-state resonance responses, thus to reduce the amplitude of the response and to eliminate the saddle-node bifurcations that take place in the resonance responses. The nonlinear gain of the feedback control is determined by analyzing the bifurcation diagrams associated with the corresponding frequency-response equation, from the singularity theory approach. It is shown by illustrative examples that the proposed nonlinear feedback is effective for controlling three kinds of resonance responses.
SFU Affiliated Publication
No
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