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

Chaos (Woodbury, N.Y.)·2022
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Non-normality and transient growth in stall flutter instability.

Shreenivas Rangarajan1, Dheeraj Tripathi1, J Venkatramani1

  • 1Department of Mechanical Engineering, Shiv Nadar Institute of Eminence, Greater Noida 203207, India.

Chaos (Woodbury, N.Y.)
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This study reveals that non-normal behavior in pitch-plunge aeroelastic systems causes transient energy growth during dynamic stall. This phenomenon is critical for understanding structural safety and flutter instability.

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Area of Science:

  • Aeroelasticity
  • Nonlinear Dynamics
  • Fluid-Structure Interaction

Background:

  • Aeroelastic systems can exhibit complex behaviors like dynamic stall and flutter.
  • Understanding transient phenomena is crucial for predicting system stability and safety.

Purpose of the Study:

  • To investigate the non-normal characteristics and transient energy growth in a pitch-plunge aeroelastic system during dynamic stall.
  • To elucidate the role of non-normality in triggering sub-critical instabilities.

Main Methods:

  • Wind tunnel experiments on a canonical pitch-plunge aeroelastic system.
  • Numerical simulations using a modified Leishman-Beddoes dynamic stall model.
  • Pseudospectral analysis of the system's linear operator.

Main Results:

  • Experimental and numerical studies confirmed stall flutter instability via a sub-critical Hopf bifurcation.
  • Transient growth in amplitude and energy was observed, potentially triggering sub-criticality.
  • The system exhibits non-normal behavior, leading to temporary amplification of amplitude and energy.

Conclusions:

  • The non-normal nature of the pitch-plunge aeroelastic system is a key factor in transient energy growth and dynamic stall.
  • Transient phenomena play a critical role in the onset of sub-critical instabilities, impacting structural safety.
  • The findings enhance the understanding of complex aeroelastic behaviors and their prediction.