Creation of Neimark-Sacker Bifurcation for a Three-Degree-of-Freedom Vibro-Impact System with Clearances

Xu, H; Ji, J

Creation of Neimark-Sacker Bifurcation for a Three-Degree-of-Freedom Vibro-Impact System with Clearances

Xu, H Ji, J

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Publisher:: Springer Nature
Publication Type:: Chapter
Citation:: Nonlinear Dynamics of Structures, Systems and Devices Proceedings of the First International Nonlinear Dynamics Conference (NODYCON 2019), Volume I, 2020, pp. 107-115
Issue Date:: 2020-01-29

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Field	Value	Language
dc.contributor.author	Xu, H
dc.contributor.author	Ji, J https://orcid.org/0000-0003-3280-5463
dc.contributor.editor	Lacarbonara, W
dc.contributor.editor	Balachandran, B
dc.contributor.editor	Ma, J
dc.contributor.editor	Tenreiro Machado, J
dc.contributor.editor	Stepan, G
dc.date.accessioned	2023-01-09T22:46:40Z
dc.date.available	2023-01-09T22:46:40Z
dc.date.issued	2020-01-29
dc.identifier.citation	Nonlinear Dynamics of Structures, Systems and Devices Proceedings of the First International Nonlinear Dynamics Conference (NODYCON 2019), Volume I, 2020, pp. 107-115
dc.identifier.isbn	3030347133
dc.identifier.isbn	9783030347130
dc.identifier.uri	http://hdl.handle.net/10453/164792
dc.description.abstract	The impulsive state feedback control is used to create Neimark-Sacker bifurcation for a three-degree-of-freedom vibro-impact system with clearances. The linear control gains are determined to guarantee the existence of Neimark-Sacker bifurcation by using the explicit criteria of Neimark-Sacker bifurcation without directly using eigenvalues. Differently, the nonlinear control gains are selected to determine the direction and stability of Neimark-Sacker bifurcation by using center manifold reduction theory and normal form approach. The amplitude of the created invariant cycle from Neimark-Sacker bifurcation is analytically obtained to achieve the control of the amplitude by selecting appropriate nonlinear control gains. Numerical experiments are provided to show the effectiveness of the proposed control method.
dc.language	en
dc.publisher	Springer Nature
dc.relation.ispartof	Nonlinear Dynamics of Structures, Systems and Devices Proceedings of the First International Nonlinear Dynamics Conference (NODYCON 2019), Volume I
dc.relation.isbasedon	10.1007/978-3-030-34713-0_11
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Creation of Neimark-Sacker Bifurcation for a Three-Degree-of-Freedom Vibro-Impact System with Clearances
dc.type	Chapter
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.consider-herdc	false
dc.date.updated	2023-01-09T22:46:39Z
pubs.publication-status	Published

Abstract:

The impulsive state feedback control is used to create Neimark-Sacker bifurcation for a three-degree-of-freedom vibro-impact system with clearances. The linear control gains are determined to guarantee the existence of Neimark-Sacker bifurcation by using the explicit criteria of Neimark-Sacker bifurcation without directly using eigenvalues. Differently, the nonlinear control gains are selected to determine the direction and stability of Neimark-Sacker bifurcation by using center manifold reduction theory and normal form approach. The amplitude of the created invariant cycle from Neimark-Sacker bifurcation is analytically obtained to achieve the control of the amplitude by selecting appropriate nonlinear control gains. Numerical experiments are provided to show the effectiveness of the proposed control method.

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http://hdl.handle.net/10453/164792