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Coherence resonance in a nonlinear aeroelastic system.

Varun H S1, M S Aswathy2, Sunetra Sarkar1,3

  • 1Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai 600036, India.

Chaos (Woodbury, N.Y.)
|May 8, 2025
PubMed
Summary

Noise can induce order in nonlinear aeroelastic systems. This study identifies coherence resonance, where optimal noise levels create nearly periodic oscillations, with potential applications in energy harvesting or flutter control.

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Area of Science:

  • Aeroelasticity
  • Nonlinear Dynamics
  • Fluid-Structure Interaction

Background:

  • Classical aeroelastic models with subcritical Hopf bifurcation are well-studied.
  • Previous research focused on noise-induced disorder in such systems.
  • This study explores noise's potential to induce order.

Purpose of the Study:

  • To investigate and establish coherence resonance in a nonlinear aeroelastic system under Gaussian white noise.
  • To explore the phenomenon of noise-induced order.
  • To analyze the impact of noise on fluid-structure interaction dynamics.

Main Methods:

  • Utilized a classical nonlinear aeroelastic model exhibiting subcritical Hopf bifurcation.
  • Introduced additive Gaussian white noise to the system.
  • Quantified coherence using signal-to-noise ratio, correlation time, and inter-spike intervals.

Main Results:

  • Demonstrated that an optimum noise level can induce nearly periodic, coherent oscillations.
  • Identified a peak in response coherency at an intermediate noise level, characteristic of coherence resonance.
  • Confirmed the phenomenon through quantitative analysis of signal-to-noise ratio, correlation time, and inter-spike intervals.

Conclusions:

  • Coherence resonance can be established in nonlinear aeroelastic systems with additive noise.
  • Noise can be constructively utilized to enhance desired coherent responses for energy harvesting.
  • Findings suggest noise can also be used to trigger detrimental flutter instability.