Chaotic vortex-induced rotation of an elliptical cylinder

What is it about?

Dynamics of an oscillating elliptical cylinder due to flow of a viscous fluid and torsional spring is presented. The Reynolds number is fixed at $Re=200$ and spring stiffness is modified. We identified three regions: excitation, lock-in and desynchronization regions as in the case of VIV's on circular cylinders. The problem has three fixed-points whose properties depends on the ellipse's oscillations degree of confinement, which can be changed by varying the spring's stiffness.

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Photo by Matt Hardy on Unsplash

Photo by Matt Hardy on Unsplash

Why is it important?

The non-linear dynamics found in this one-dimensional oscillator presents several features found in more complex systems, as in the case on vortex induced vibrations on rigid and flexible cylinders and show the non-linear nature of this kind of phenomena .