Complex near-grazing dynamics in impact oscillators

Yin, S; Ji, J; Wen, G

Complex near-grazing dynamics in impact oscillators

Yin, S Ji, J

Wen, G

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Publication Type:: Journal Article
Citation:: International Journal of Mechanical Sciences, 2019, 156 pp. 106 - 122
Issue Date:: 2019-06-01

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Field	Value	Language
dc.contributor.author	Yin, S	en_US
dc.contributor.author	Ji, J https://orcid.org/0000-0003-3280-5463	en_US
dc.contributor.author	Wen, G	en_US
dc.date.issued	2019-06-01	en_US
dc.identifier.citation	International Journal of Mechanical Sciences, 2019, 156 pp. 106 - 122	en_US
dc.identifier.issn	0020-7403	en_US
dc.identifier.uri	http://hdl.handle.net/10453/135001
dc.description.abstract	© 2019 Elsevier Ltd Impact oscillators frequently appear in various physical and engineering systems with non-smooth characteristics and can exhibit different dynamic behavior from the smooth nonlinear systems, including grazing bifurcation in which an impact with zero velocity occurs. This paper investigates the near-grazing dynamics of the multi-degree-of-freedom impact oscillators in the small neighborhood of degenerate grazing points, with a focus on the stability and potential bifurcations of near-grazing period-one impact motions. The high order zero time discontinuity mapping method is applied to perform the prospective analyses of stability and bifurcations. Particularly, this paper shows that the peculiar Neimark-Sacker bifurcations regaining the stability of near-grazing period-one impact motion can be induced by two different ways, either through the interaction between the singular and regular real eigenvalues or via a grazing bifurcation directly. A two degree-of-freedom impact oscillator is taken as an example to present detailed numerical results for the verification of proposed analysis.	en_US
dc.relation.ispartof	International Journal of Mechanical Sciences	en_US
dc.relation.isbasedon	10.1016/j.ijmecsci.2019.03.023	en_US
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject.classification	Mechanical Engineering & Transports	en_US
dc.title	Complex near-grazing dynamics in impact oscillators	en_US
dc.type	Journal Article
utslib.citation.volume	156	en_US
utslib.for	0913 Mechanical Engineering	en_US
utslib.for	0905 Civil Engineering	en_US
utslib.for	0910 Manufacturing Engineering	en_US
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.publication-status	Published	en_US
pubs.volume	156	en_US

Abstract:

© 2019 Elsevier Ltd Impact oscillators frequently appear in various physical and engineering systems with non-smooth characteristics and can exhibit different dynamic behavior from the smooth nonlinear systems, including grazing bifurcation in which an impact with zero velocity occurs. This paper investigates the near-grazing dynamics of the multi-degree-of-freedom impact oscillators in the small neighborhood of degenerate grazing points, with a focus on the stability and potential bifurcations of near-grazing period-one impact motions. The high order zero time discontinuity mapping method is applied to perform the prospective analyses of stability and bifurcations. Particularly, this paper shows that the peculiar Neimark-Sacker bifurcations regaining the stability of near-grazing period-one impact motion can be induced by two different ways, either through the interaction between the singular and regular real eigenvalues or via a grazing bifurcation directly. A two degree-of-freedom impact oscillator is taken as an example to present detailed numerical results for the verification of proposed analysis.

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http://hdl.handle.net/10453/135001