Closed-loop control of fluid–structure interactions on a flexibly supported cylinder.

*(English)*Zbl 1045.76511Summary: This work proposes a closed-loop control of vortex-induced vibrations on a flexibly supported square cylinder. One side of the cylinder was perturbed using actuators, which were controlled by a proportional-integral-derivative controller with its feedback signal provided by a hot wire placed in the near wake. The particle image velocimetry, hot wire and laser vibrometer measurements indicate that the perturbation has completely modified the fluid–structure interaction, drastically impairing the resonance between vortex shedding and vortex-induced structural vibration. Compared with an open-loop control, the closed-loop control has two advantages. Firstly, the perturbation amplitude required to suppress vortex shedding/structural vibration is reduced by about 70%. Secondly, the closed-loop control always suppresses vortex shedding/structural vibration, while an open loop may, or may not, depending on the relationship between the vortex shedding and perturbation frequencies.

##### MSC:

76-05 | Experimental work for problems pertaining to fluid mechanics |

76D17 | Viscous vortex flows |

74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |

76D55 | Flow control and optimization for incompressible viscous fluids |

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\textit{M. M. Zhang} et al., Eur. J. Mech., B, Fluids 23, No. 1, 189--197 (2004; Zbl 1045.76511)

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