Controlled vortex-induced vibration on a fix-supported flexible cylinder in cross-flow

Abstract This paper presents an experimental study on the closed-loop control of the vortex-induced vibration of a flexible square cylinder, fixed at both ends, in a cross-flow. Curved piezoceramic actuators were embedded underneath one cylinder surface to generate a controllable motion to perturb the interaction between flow and structure. Five control schemes were investigated based on the feedback from either individual or combined responses of structural vibration and fluctuating flow. Experiments were conducted in the first-mode resonance of the cylinder, when the vortex-shedding frequency coincided with the first-mode natural frequency of the fluid–structure system. The control effect on the structural vibration and the flow was simultaneously monitored using laser vibrometer, optical fiber Bragg grating (FBG) sensor, hot wires, particle image velocimetry, laser-induced fluorescence flow visualization and laser Doppler anemometer. The performances of the different schemes were assessed and compared. The best performance was achieved using the scheme whose feedback signal was a combination of flow and structural vibration. Vortex shedding was almost completely destroyed, resulting in a reduction by 85% in the vortex strength, by 71% in the structural vibration amplitude, and by 30% in the drag coefficient. It was found that the control effect altered the nature of the fluid–structure interactions, changing the in-phased fluid–structure synchronization into anti-phased interactions, thus significantly enhancing the damping of the fluid–structure system and contributing to greatly attenuated vortex shedding and the structural vibration.

[1]  Mohamed Gad-el-Hak,et al.  Flow Control: The Future , 2001 .

[2]  Wei Jin,et al.  A fibre-optic grating sensor for the study of flow-induced vibrations , 2000 .

[3]  P. Dimotakis,et al.  Rotary oscillation control of a cylinder wake , 1989, Journal of Fluid Mechanics.

[4]  Li Cheng,et al.  Closed-loop-manipulated wake of a stationary square cylinder , 2005 .

[5]  J. R. Filler,et al.  Response of the shear layers separating from a circular cylinder to small amplitude rotational oscillations , 1990 .

[6]  Wei Jin,et al.  Free vibrations of two side-by-side cylinders in a cross-flow , 2001, Journal of Fluid Mechanics.

[7]  Kimon Roussopoulos,et al.  Feedback control of vortex shedding at low Reynolds numbers , 1993, Journal of Fluid Mechanics.

[8]  Hiroshi Sakamoto,et al.  Fluctuating forces acting on rectangular cylinders in uniform flow. (On rectangular cylinders with fully separated flow). , 1989 .

[9]  Xiaoyang. Huang,et al.  Feedback control of vortex shedding from a circular cylinder , 1996 .

[10]  B. Cantwell,et al.  An experimental study of entrainment and transport in the turbulent near wake of a circular cylinder , 1983, Journal of Fluid Mechanics.

[11]  R. A. Antonia,et al.  Critical points in a turbulent near wake , 1994 .

[12]  M. M. Zdravkovich,et al.  Review and classification of various aerodynamic and hydrodynamic means for suppressing vortex shedding , 1981 .

[13]  Longitudinal and spanwise vortical structures in a turbulent near wake , 2000 .

[14]  R. Antonia,et al.  Determination of drag of a circular cylinder , 1990 .

[15]  Yu Zhou,et al.  The turbulent wake of two side-by-side circular cylinders , 2002, Journal of Fluid Mechanics.

[16]  Li Cheng,et al.  Perturbed interaction between vortex shedding and induced vibration , 2003 .

[17]  R. King,et al.  Vortex-excited vibrations of cylinders and cables and their suppression , 1982 .

[18]  M. Provansal,et al.  Bénard-von Kármán instability: transient and forced regimes , 1987, Journal of Fluid Mechanics.

[19]  J. R. Filler,et al.  Response of the shear layers separating from a circular cylinder to small-amplitude rotational oscillations , 1991, Journal of Fluid Mechanics.

[20]  D. Johns Flow-induced vibration , 1991 .

[21]  Fei-Bin Hsiao,et al.  INFLUENCE OF INTERNAL ACOUSTIC EXCITATION UPON FLOW PASSING A CIRCULAR CYLINDER , 1991 .

[22]  M. S. Howe Acoustics of fluid-structure interactions , 1998 .

[23]  J. E. Ffowcs Williams,et al.  The active control of vortex shedding , 1989 .

[24]  R. Blevins,et al.  Flow-Induced Vibration , 1977 .

[25]  B. Lee The effect of turbulence on the surface pressure field of a square prism , 1975, Journal of Fluid Mechanics.

[26]  David R. Williams,et al.  The response and symmetry properties of a cylinder wake subjected to localized surface excitation , 1992, Journal of Fluid Mechanics.

[27]  R. A. Antonia,et al.  Effect of initial conditions on vortices in a turbulent near wake , 1994 .

[28]  Li Cheng,et al.  Closed-loop-controlled vortex shedding and vibration of a flexibly supported square cylinder under different schemes , 2004 .

[29]  Amr M. Baz,et al.  Active Modal Control of Vortex-Induced Vibrations of a Flexible Cylinder , 1993 .

[30]  R. A. Antonia,et al.  LONGITUDINAL AND SPANWISE STRUCTURES IN A TURBULENT WAKE , 1999 .