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

Leung, AYT; Ji, JC; Chen, G

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

Leung, AYT Ji, JC

Chen, G

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Publication Type:: Journal Article
Citation:: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2004, 14 (4), pp. 1423 - 1429
Issue Date:: 2004-01-01

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Field	Value	Language
dc.contributor.author	Leung, AYT	en_US
dc.contributor.author	Ji, JC https://orcid.org/0000-0003-3280-5463	en_US
dc.contributor.author	Chen, G	en_US
dc.date.issued	2004-01-01	en_US
dc.identifier.citation	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2004, 14 (4), pp. 1423 - 1429	en_US
dc.identifier.issn	0218-1274	en_US
dc.identifier.uri	http://hdl.handle.net/10453/14523
dc.description.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.	en_US
dc.relation.ispartof	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering	en_US
dc.relation.isbasedon	10.1142/S0218127404009843	en_US
dc.subject.classification	Fluids & Plasmas	en_US
dc.title	Resonance control for a forced single-degree-of-freedom nonlinear system	en_US
dc.type	Journal Article
utslib.citation.volume	4	en_US
utslib.citation.volume	14	en_US
utslib.for	0103 Numerical and Computational Mathematics	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0913 Mechanical Engineering	en_US
dc.location.activity	Shanghai, China
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	closed_access
pubs.issue	4	en_US
pubs.publication-status	Published	en_US
pubs.volume	14	en_US

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.

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http://hdl.handle.net/10453/14523