Boundary equilibrium bifurcation; Dynamic stall; Freeplay nonlinearity; Grazing bifurcation; Stall flutter; Aeroelastic system; Boundary equilibrium; Discontinuity-induced bifurcation; Dynamic stalls; Freeplay; Non-smooth nonlinearities; Control and Systems Engineering; Aerospace Engineering; Ocean Engineering; Mechanical Engineering; Electrical and Electronic Engineering; Applied Mathematics
Abstract :
[en] 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.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Vishal, Sai; Department of Mechanical Engineering, Shiv Nadar University, Delhi NCR, India
Raaj, Ashwad; Department of Mechanical Engineering, Shiv Nadar University, Delhi NCR, India
Bose, Chandan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Interactions Fluide-Structure - Aérodynamique expérimentale
Venkatramani, J.; Department of Mechanical Engineering, Shiv Nadar University, Delhi NCR, India
Dimitriadis, Grigorios ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Science des matériaux métalliques
Language :
English
Title :
Numerical investigation into discontinuity-induced bifurcations in an aeroelastic system with coupled non-smooth nonlinearities
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.
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