Novel two-parameter dynamics of impact oscillators near degenerate grazing points

Yin, S; Wen, G; Ji, J; Xu, H

Novel two-parameter dynamics of impact oscillators near degenerate grazing points

Yin, S Wen, G Ji, J

Xu, H

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Publisher:: PERGAMON-ELSEVIER SCIENCE LTD
Publication Type:: Journal Article
Citation:: International Journal of Non-Linear Mechanics, 2020, 120
Issue Date:: 2020-04-01

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Field	Value	Language
dc.contributor.author	Yin, S
dc.contributor.author	Wen, G
dc.contributor.author	Ji, J https://orcid.org/0000-0003-3280-5463
dc.contributor.author	Xu, H
dc.date.accessioned	2021-03-21T20:28:05Z
dc.date.available	2021-03-21T20:28:05Z
dc.date.issued	2020-04-01
dc.identifier.citation	International Journal of Non-Linear Mechanics, 2020, 120
dc.identifier.issn	0020-7462
dc.identifier.issn	1878-5638
dc.identifier.uri	http://hdl.handle.net/10453/147415
dc.description.abstract	© 2020 Elsevier Ltd Following the previous work on the degenerate grazing bifurcations of impact oscillators, this paper aims to explore novel two-parameter dynamics near the degenerate grazing points using GPU parallel computing technology. By using the technology, a further understanding of the near-grazing dynamics can be developed for impact oscillators. Three main indicators, i.e., the largest Lyapunov exponent, number of excitation periods and number of impacts, are calculated for each grid of the two-parameter plane chosen. Based on these indicators, the dynamic response in the vicinity of degenerate grazing points can be characterized and more dynamic behaviors than the published results can be discovered. Phenomena of coexisting attractors and chaotic transitions including crisis are also discussed. The single and two degree-of-freedom impact oscillators are selected as illustrative examples to demonstrate the results.
dc.language	English
dc.publisher	PERGAMON-ELSEVIER SCIENCE LTD
dc.relation.ispartof	International Journal of Non-Linear Mechanics
dc.relation.isbasedon	10.1016/j.ijnonlinmec.2020.103403
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0905 Civil Engineering, 0913 Mechanical Engineering
dc.subject.classification	Mechanical Engineering & Transports
dc.title	Novel two-parameter dynamics of impact oscillators near degenerate grazing points
dc.type	Journal Article
utslib.citation.volume	120
utslib.for	0913 Mechanical Engineering
utslib.for	0102 Applied Mathematics
utslib.for	0905 Civil Engineering
utslib.for	0913 Mechanical Engineering
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	*
dc.date.updated	2021-03-21T20:28:02Z
pubs.publication-status	Published
pubs.volume	120

Abstract:

© 2020 Elsevier Ltd Following the previous work on the degenerate grazing bifurcations of impact oscillators, this paper aims to explore novel two-parameter dynamics near the degenerate grazing points using GPU parallel computing technology. By using the technology, a further understanding of the near-grazing dynamics can be developed for impact oscillators. Three main indicators, i.e., the largest Lyapunov exponent, number of excitation periods and number of impacts, are calculated for each grid of the two-parameter plane chosen. Based on these indicators, the dynamic response in the vicinity of degenerate grazing points can be characterized and more dynamic behaviors than the published results can be discovered. Phenomena of coexisting attractors and chaotic transitions including crisis are also discussed. The single and two degree-of-freedom impact oscillators are selected as illustrative examples to demonstrate the results.

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http://hdl.handle.net/10453/147415