Routes to Synchronization in a pitch–plunge aeroelastic system with coupled structural and aerodynamic nonlinearities

Vishal, Sai; Raaj, Ashwad; Bose, Chandan; Venkatramani, J.

doi:10.1016/j.ijnonlinmec.2021.103766

Cited by 13 publications

(19 citation statements)

References 43 publications

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“…Though the notion of synchronization 33,34 has now been established comprehensively in the dynamical systems literature, a cursory glimpse into the terminologies of synchronization theory in the context of aeroelastic systems is presented here for the sake of completeness. The synchronization of mutually coupled oscillators can occur through two different mechanisms such as phase locking and suppression of natural dynamics 27 . Several oscillators are said to be phase synchronized 29 , when their instantaneous phases are seen to be perfectly locked, (i.e., the relative phases remain constant), but the amplitudes are uncorrelated.…”

Section: A Cursory Glance Into Synchronization Theorymentioning

confidence: 99%

“…Synchronization is a well-known nonlinear phenomenon and has been widely reported in different nonlinear dynamical systems, such as cardiorespiratory systems 17 , electrochemical oscillators 18,19 , electronic circuits 20 , thermoacoustics 15,[21][22][23][24] , vortex-induced vibration systems 16,25 , and aeroelastic systems 13,26,27 . Synchronization phenomenon can be classified in a variety of forms, such as complete synchronization, lag synchronization, intermittent phase synchronization, imperfect phase synchronization, among others 13,14,[28][29][30] .…”

Section: Introductionmentioning

confidence: 99%

“…The response dynamics of such nonlinear dynamical systems show rich bifurcation behaviour with different phase relationships such as phase locking, phase drifting, phase slips 13,14,16,18,27,31 and a switch between in-phase to anti-phase synchronization, known as phase-flip bifurcation 19,20,32 ; see Section II for further details.…”

Section: Introductionmentioning

confidence: 99%

“…The synchronization theory was very recently applied for the two degrees-of-freedom (DOF) pitch-plunge aeroelastic systems 13,27 . Raaj et al 13 numerically obtained the responses of a nonlinear aeroelastic system undergoing classical flutter and investigated the role of synchronization in pre-and postflutter regimes in the presence of noise.…”

Section: Introductionmentioning

confidence: 99%

“…Vishal et el. 27 modelled a coupled nonlinear aeroelastic system by incorporating the nonlinearities in structure and the flow. The authors reported that frequency coalescence under linear aerodynamics occurs via a frequency locking mechanism, which is in agreement with that reported by Raaj et al 13 .…”

Section: Introductionmentioning

confidence: 99%

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Experimental investigation on the synchronization characteristics of a pitch-plunge aeroelastic system exhibiting stall flutter

Tripathi

Shreenivas

Bose

et al. 2022

Chaos: An Interdisciplinary Journal of Nonlinear Science

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This study focuses on characterizing the bifurcation scenario and the underlying synchrony behavior in a nonlinear aeroelastic system under deterministic as well as stochastic inflow conditions. Wind tunnel experiments are carried out for a canonical pitch-plunge aeroelastic system subjected to dynamic stall conditions. The system is observed to undergo a subcritical Hopf bifurcation, giving way to large-amplitude limit cycle oscillations (LCOs) in the stall flutter regime under the deterministic flow conditions. At this condition, we observe intermittent phase synchronization between pitch and plunge modes near the fold point, whereas synchronization via phase trapping is observed near the Hopf point. Repeating the experiments under stochastic inflow conditions, we observe two different aeroelastic responses: low amplitude noise-induced random oscillations (NIROs) and high-amplitude random LCOs (RLCOs) during stall flutter. The present study shows asynchrony between pitch and plunge modes in the NIRO regime. At the onset of RLCOs, asynchrony persists even though the relative phase distribution changes. With further increase in the flow velocity, we observe intermittent phase synchronization in the flutter regime. To the best of the authors’ knowledge, this is the first study reporting the experimental evidence of phase synchronization between pitch and plunge modes of an aeroelastic system, which is of great interest to the nonlinear dynamics community. Furthermore, given the ubiquitous presence of stall behavior and stochasticity in a variety of engineering systems, such as wind turbine blades, helicopter blades, and unmanned aerial vehicles, the present findings will be directly beneficial for the efficient design of futuristic aeroelastic systems.

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Section: A Cursory Glance Into Synchronization Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Experimental investigation on the synchronization characteristics of a pitch-plunge aeroelastic system exhibiting stall flutter

Tripathi

Shreenivas

Bose

et al. 2022

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Effect of Damping on Bifurcation and Synchronization Behavior of an Aeroelastic System Under Dynamic Stall

Kumar,

Tripathi,

Gupta

et al. 2024

Lecture Notes in Mechanical Engineering

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Numerical investigation into discontinuity-induced bifurcations in an aeroelastic system with coupled non-smooth nonlinearities

et al. 2022

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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 (DoF). The effects of dynamic stall arising due to large instantaneous angles-of-attack (AoA) are incorporated using the semi-empirical Leishman Beddoes (LB) 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.

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Routes to Synchronization in a pitch–plunge aeroelastic system with coupled structural and aerodynamic nonlinearities

Cited by 13 publications

References 43 publications

Experimental investigation on the synchronization characteristics of a pitch-plunge aeroelastic system exhibiting stall flutter

Experimental investigation on the synchronization characteristics of a pitch-plunge aeroelastic system exhibiting stall flutter

Effect of Damping on Bifurcation and Synchronization Behavior of an Aeroelastic System Under Dynamic Stall

Numerical investigation into discontinuity-induced bifurcations in an aeroelastic system with coupled non-smooth nonlinearities

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