Chaotic Patterns in Aeroelastic Signals
Joint Authors
Vasconcellos, R. M. G.
Marques, F. D.
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-17
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
This work presents the analysis of nonlinear aeroelastic time series from wing vibrations due to airflow separation during wind tunnel experiments.
Surrogate data method is used to justify the application of nonlinear time series analysis to the aeroelastic system, after rejecting the chance for nonstationarity.
The singular value decomposition (SVD) approach is used to reconstruct the state space, reducing noise from the aeroelastic time series.
Direct analysis of reconstructed trajectories in the state space and the determination of Poincaré sections have been employed to investigate complex dynamics and chaotic patterns.
With the reconstructed state spaces, qualitative analyses may be done, and the attractors evolutions with parametric variation are presented.
Overall results reveal complex system dynamics associated with highly separated flow effects together with nonlinear coupling between aeroelastic modes.
Bifurcations to the nonlinear aeroelastic system are observed for two investigations, that is, considering oscillations-induced aeroelastic evolutions with varying freestream speed, and aeroelastic evolutions at constant freestream speed and varying oscillations.
Finally, Lyapunov exponent calculation is proceeded in order to infer on chaotic behavior.
Poincaré mappings also suggest bifurcations and chaos, reinforced by the attainment of maximum positive Lyapunov exponents.
American Psychological Association (APA)
Marques, F. D.& Vasconcellos, R. M. G.. 2009. Chaotic Patterns in Aeroelastic Signals. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-19.
https://search.emarefa.net/detail/BIM-499260
Modern Language Association (MLA)
Marques, F. D.& Vasconcellos, R. M. G.. Chaotic Patterns in Aeroelastic Signals. Mathematical Problems in Engineering No. 2009 (2009), pp.1-19.
https://search.emarefa.net/detail/BIM-499260
American Medical Association (AMA)
Marques, F. D.& Vasconcellos, R. M. G.. Chaotic Patterns in Aeroelastic Signals. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-19.
https://search.emarefa.net/detail/BIM-499260
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499260