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Physics

Wing flutter

Bending and twist exchange energy under an increasing airflow.

Wing flutter — Actual application image
Actual application image

Try this

Compare the two presets. Air feeds energy into coupled bending and twist above the stability boundary. The gold line marks the undeformed wing; blue filaments show airflow direction at a slowed display speed.

The model and its limits

Illustrative two-mode circulatory model with nonlinear saturation, not a validated aircraft wing or CFD calculation. Deflection is exaggerated.

Equations used in the module
Equations
q = c U²
x″ + 2ζω_b x′ + ω_b² x = q θ
θ″ + 2ζω_t θ′ + ω_t² θ = -q x

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N-body problem — Actual application image

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Kepler problem — Actual application image

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