Resonance control for a forced single-degree-of-freedom nonlinear system

World Scientific
Publication Type:
Journal Article
International Journal of Bifurcation and Chaos, 2004, 14 (4), pp. 1423 - 1429
Issue Date:
Full metadata record
Files in This Item:
Filename Description SizeFormat
2010001864OK.pdf202.67 kBAdobe PDF
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 digrams 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.
Please use this identifier to cite or link to this item: