![](/images/graphics-bg.png)
Chaotic Dynamics of an Airfoil with Higher-Order Plunge and Pitch Stiffnesses in Incompressible Flow
Joint Authors
Rajagopal, Karthikeyan
Admassu, Yesgat
Weldegiorgis, Riessom
Duraisamy, Prakash
Karthikeyan, Anitha
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-30
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Dynamical properties of a two-dimensional airfoil model with higher-order strong nonlinearities are investigated.
Firstly, a state-space model is derived considering the plunge and pitch stiffnesses as generalized functions.
Then, a stiffness function having square, cubic, and fifth-power nonlinearities is considered for both plunging and pitching stiffnesses, and the dimensionless state equations are derived.
Various dynamical properties of the proposed model are investigated using equilibrium points, eigenvalues, and Lyapunov exponents.
To further analyze the dynamical behavior of the system, bifurcation plots are derived.
It is interesting to note that the new airfoil model with higher-order nonlinearities shows multistability with changing airspeed, and there are infinitely countable number of coexisting attractors generally called as megastability.
Both multistability and megastability features of the airfoil model were not captured earlier in the literatures.
To be clear, it is the first time a megastable feature is exposed in a physical system.
Finally, to analyze the multifrequency effects of the airfoil model, we have presented the bicoherence plots.
American Psychological Association (APA)
Rajagopal, Karthikeyan& Admassu, Yesgat& Weldegiorgis, Riessom& Duraisamy, Prakash& Karthikeyan, Anitha. 2019. Chaotic Dynamics of an Airfoil with Higher-Order Plunge and Pitch Stiffnesses in Incompressible Flow. Complexity،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1132051
Modern Language Association (MLA)
Rajagopal, Karthikeyan…[et al.]. Chaotic Dynamics of an Airfoil with Higher-Order Plunge and Pitch Stiffnesses in Incompressible Flow. Complexity No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1132051
American Medical Association (AMA)
Rajagopal, Karthikeyan& Admassu, Yesgat& Weldegiorgis, Riessom& Duraisamy, Prakash& Karthikeyan, Anitha. Chaotic Dynamics of an Airfoil with Higher-Order Plunge and Pitch Stiffnesses in Incompressible Flow. Complexity. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1132051
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132051