![](/images/graphics-bg.png)
Uncertainty Quantification and Bifurcation Analysis of an Airfoil with Multiple Nonlinearities
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In order to calculate the limit cycle oscillations and bifurcations of nonlinear aeroelastic system, the problem of finding periodic solutions with maximum vibration amplitude is transformed into a nonlinear optimization problem.
An algebraic system of equations obtained by the harmonic balance method and the stability condition derived from the Floquet theory are used to construct the general nonlinear equality and inequality constraints.
The resulting constrained maximization problem is then solved by using the MultiStart algorithm.
Finally, the proposed approach is validated, and the effects of structural parameter uncertainty on the limit cycle oscillations and bifurcations of an airfoil with multiple nonlinearities are studied.
Numerical examples show that the coexistence of multiple nonlinearities may lead to low amplitude limit cycle oscillation.
American Psychological Association (APA)
Liao, Haitao. 2013. Uncertainty Quantification and Bifurcation Analysis of an Airfoil with Multiple Nonlinearities. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1009876
Modern Language Association (MLA)
Liao, Haitao. Uncertainty Quantification and Bifurcation Analysis of an Airfoil with Multiple Nonlinearities. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1009876
American Medical Association (AMA)
Liao, Haitao. Uncertainty Quantification and Bifurcation Analysis of an Airfoil with Multiple Nonlinearities. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1009876
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009876