Global Dynamics of a Compressor Blade with Resonances
Joint Authors
Bian, Xiaoxia
Chen, Fangqi
An, Fengxian
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The global bifurcations and chaotic dynamics of a thin-walled compressor blade for the resonant case of 2 : 1 internal resonance and primary resonance are investigated.
With the aid of the normal theory, the desired form associated with a double zero and a pair of pure imaginary eigenvalues for the global perturbation method is obtained.
Based on the simpler form, the method developed by Kovacic and Wiggins is used to find the existence of a Shilnikov-type homoclinic orbit.
The results obtained here indicate that the orbit homoclinic to certain invariant sets for the resonance case which may lead to chaos in the sense of Smale horseshoes for the system.
The chaotic motions of the rotating compressor blade are also found by using numerical simulation.
American Psychological Association (APA)
Bian, Xiaoxia& Chen, Fangqi& An, Fengxian. 2016. Global Dynamics of a Compressor Blade with Resonances. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1112013
Modern Language Association (MLA)
Bian, Xiaoxia…[et al.]. Global Dynamics of a Compressor Blade with Resonances. Mathematical Problems in Engineering No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1112013
American Medical Association (AMA)
Bian, Xiaoxia& Chen, Fangqi& An, Fengxian. Global Dynamics of a Compressor Blade with Resonances. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1112013
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112013