Abstract
The present study focuses on investigating the bifurcation characteristics of a pitch–plunge aeroelastic system possessing coupled non-smooth nonlinearities, both in structural and aerodynamic fronts. To this end, a freeplay nonlinearity is considered in the stiffness of the pitch degree-of-freedom. The effects of dynamic stall arising due to large instantaneous angles-of-attackare incorporated using the semi-empirical Leishman–Beddoes aerodynamic model. A systematic response analysis is carried out to discern the bifurcation characteristics of the aeroelastic system considering the airspeed as the system parameter. At low airspeeds, a series of dynamical transitions, including aperiodic responses, occur predominantly due to the structural freeplay nonlinearity while the flow remains attached to the surface of the wing. However, beyond a critical value of airspeed, the system response is dominated by high amplitude pitch-dominated limit-cycle oscillations, which can be attributed to stall flutter. It is demonstrated that the freeplay gap plays a key role in combining the effects of structural and aerodynamic nonlinearities. At higher values of the freeplay gap, interesting discontinuity-induced bifurcation scenarios, such as grazing and boundary equilibrium bifurcations arise due to coupled nonlinear interactions, which can significantly impact the safety of the aeroelastic system.
Original language | English |
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Pages (from-to) | 3025-3051 |
Number of pages | 27 |
Journal | Nonlinear Dynamics |
Volume | 108 |
Issue number | 4 |
Early online date | 22 Mar 2022 |
DOIs | |
Publication status | Published - Jun 2022 |
Bibliographical note
Funding Information:The first, second, and fourth authors acknowledge the funding received from SERB—start-up research grant (SRG-2019-000077) from the Government of India and the third author acknowledges the funding received from Wallonie-Bruxelles International, Belgium towards this research.
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature B.V.
Keywords
- Boundary equilibrium bifurcation
- Dynamic stall
- Freeplay nonlinearity
- Grazing bifurcation
- Stall flutter
ASJC Scopus subject areas
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Applied Mathematics
- Electrical and Electronic Engineering