Codimension-Two Grazing Bifurcations in Three-Degree-of-Freedom Impact Oscillator with Symmetrical Constraints
Joint Authors
Xu, Jieqiong
Li, Qunhong
Chen, Pu
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-05
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper investigates the codimension-two grazing bifurcations of a three-degree-of-freedom vibroimpact system with symmetrical rigid stops since little research can be found on this important issue.
The criterion for existence of double grazing periodic motion is presented.
Using the classical discontinuity mapping method, the Poincaré mapping of double grazing periodic motion is obtained.
Based on it, the sufficient condition of codimension-two bifurcation of double grazing periodic motion is formulated, which is simplified further using the Jacobian matrix of smooth Poincaré mapping.
At the end, the existence regions of different types of periodic-impact motions in the vicinity of the codimension-two grazing bifurcation point are displayed numerically by unfolding diagram and phase diagrams.
American Psychological Association (APA)
Li, Qunhong& Chen, Pu& Xu, Jieqiong. 2015. Codimension-Two Grazing Bifurcations in Three-Degree-of-Freedom Impact Oscillator with Symmetrical Constraints. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1060478
Modern Language Association (MLA)
Li, Qunhong…[et al.]. Codimension-Two Grazing Bifurcations in Three-Degree-of-Freedom Impact Oscillator with Symmetrical Constraints. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-15.
https://search.emarefa.net/detail/BIM-1060478
American Medical Association (AMA)
Li, Qunhong& Chen, Pu& Xu, Jieqiong. Codimension-Two Grazing Bifurcations in Three-Degree-of-Freedom Impact Oscillator with Symmetrical Constraints. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1060478
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060478