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Double Grazing Periodic Motions and Bifurcations in a Vibroimpact System with Bilateral Stops
Joint Authors
Li, Qunhong
Wei, Limei
Tan, Jieyan
Xi, Jiezhen
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The double grazing periodic motions and bifurcations are investigated for a two-degree-of-freedom vibroimpact system with symmetrical rigid stops in this paper.
From the initial condition and periodicity, existence of the double grazing periodic motion of the system is discussed.
Using the existence condition derived, a set of parameter values is found that generates a double grazing periodic motion in the considered system.
By extending the discontinuity mapping of one constraint surface to that of two constraint surfaces, the Poincaré map of the vibroimpact system is constructed in the proximity of the grazing point of a double grazing periodic orbit, which has a more complex form than that of the single grazing periodic orbit.
The grazing bifurcation of the system is analyzed through the Poincaré map with clearance as a bifurcation parameter.
Numerical simulations show that there is a continuous transition from the chaotic band to a period-1 periodic motion, which is confirmed by the numerical simulation of the original system.
American Psychological Association (APA)
Li, Qunhong& Wei, Limei& Tan, Jieyan& Xi, Jiezhen. 2014. Double Grazing Periodic Motions and Bifurcations in a Vibroimpact System with Bilateral Stops. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014426
Modern Language Association (MLA)
Li, Qunhong…[et al.]. Double Grazing Periodic Motions and Bifurcations in a Vibroimpact System with Bilateral Stops. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1014426
American Medical Association (AMA)
Li, Qunhong& Wei, Limei& Tan, Jieyan& Xi, Jiezhen. Double Grazing Periodic Motions and Bifurcations in a Vibroimpact System with Bilateral Stops. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014426
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014426