Delay-induced novel dynamics in a hexagonal centrifugal governor system

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

Delay-induced novel dynamics in a hexagonal centrifugal governor system

Deng, S Ji, J

Wen, G Xu, H

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Publisher:: PERGAMON-ELSEVIER SCIENCE LTD
Publication Type:: Journal Article
Citation:: International Journal of Non-Linear Mechanics, 2020, 121
Issue Date:: 2020-05-01

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Field	Value	Language
dc.contributor.author	Deng, S
dc.contributor.author	Ji, J https://orcid.org/0000-0003-3280-5463
dc.contributor.author	Wen, G
dc.contributor.author	Xu, H
dc.date.accessioned	2020-11-27T22:13:24Z
dc.date.available	2020-11-27T22:13:24Z
dc.date.issued	2020-05-01
dc.identifier.citation	International Journal of Non-Linear Mechanics, 2020, 121
dc.identifier.issn	0020-7462
dc.identifier.issn	1878-5638
dc.identifier.uri	http://hdl.handle.net/10453/144438
dc.description.abstract	© 2020 Elsevier Ltd Inherent time delays are often neglected in the modeling and dynamic analysis of centrifugal governor systems for the sake of simplicity, yet they can have a significant effect on the dynamic behavior of the governor systems. This paper investigates the effect of time-delay on the dynamics of a hexagonal centrifugal governor system through a comparative study on the stability and bifurcation of the equilibrium for the system with and without delay considered. It is found that the presence of time-delay can decrease the stability region of the equilibrium and generate many fine structures on the stability boundaries. New dynamic phenomena can be induced by the time-delay, including the 1:4 resonant and non-resonant double Hopf bifurcations. In addition, generic Hopf and Bautin bifurcations can be observed in the system for both the non-delay and delay cases. The unfolding of bifurcations which exhibits all possible behavior at the points of such complicated bifurcations is given by studying the normal form of the response amplitude obtained using the method of multiple scales. Numerical simulations are performed to validate the proposed theoretical analyses.
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.2020.103465
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	Delay-induced novel dynamics in a hexagonal centrifugal governor system
dc.type	Journal Article
utslib.citation.volume	121
utslib.for	0102 Applied Mathematics
utslib.for	0905 Civil Engineering
utslib.for	0913 Mechanical Engineering
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
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	closed_access	*
dc.date.updated	2020-11-27T22:13:19Z
pubs.publication-status	Published
pubs.volume	121

Abstract:

© 2020 Elsevier Ltd Inherent time delays are often neglected in the modeling and dynamic analysis of centrifugal governor systems for the sake of simplicity, yet they can have a significant effect on the dynamic behavior of the governor systems. This paper investigates the effect of time-delay on the dynamics of a hexagonal centrifugal governor system through a comparative study on the stability and bifurcation of the equilibrium for the system with and without delay considered. It is found that the presence of time-delay can decrease the stability region of the equilibrium and generate many fine structures on the stability boundaries. New dynamic phenomena can be induced by the time-delay, including the 1:4 resonant and non-resonant double Hopf bifurcations. In addition, generic Hopf and Bautin bifurcations can be observed in the system for both the non-delay and delay cases. The unfolding of bifurcations which exhibits all possible behavior at the points of such complicated bifurcations is given by studying the normal form of the response amplitude obtained using the method of multiple scales. Numerical simulations are performed to validate the proposed theoretical analyses.

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http://hdl.handle.net/10453/144438