VIV Control Strategies Using Displacement-Based ‎Phenomenological Model

Document Type : Special Issue Paper


1 Department of Civil, Environmental and Ocean Engineering, Stevens Institute of Technology, Hoboken, NJ, USA

2 Department of Mechanical Engineering, University of Engineering and Technology, Peshawar, Pakistan

3 Department of Mechanical Engineering, National University of Sciences and Technology, Islamabad, Pakistan


Linear and nonlinear feedback control of vortex-induced vibrations are assessed using a single degree-of-freedom phenomenological model of the uncontrolled response. The model is based on the role of linear and nonlinear damping forces in inducing and limiting the amplitude of these vibrations. First, the model prediction is validated using data from previously published high-fidelity direct numerical simulations. Then, linear and nonlinear control are applied to the validated model over a broad range of gain values. The predicted controlled responses are also validated against previously published results from high-fidelity numerical simulations. Based on this validation, it is shown that the single degree-of-freedom model is an effective alternative, in terms of computational cost, to high fidelity simulations in assessing control strategies over broad regions of control gains.


Main Subjects

[1] Sarpkaya, T., Vortex induced oscillations: a selective review, Journal of Applied Mechanics, 46(2), 1979, 241–258.
[2] Gabbai, R., Benaroya, H., An overview of modeling and experiments of vortex-induced vibration of circular cylinders, Journal of Sound and Vibration, 282, 2005, 575-616.
[3] Dong, P., Benaroya, H., Wei, T., Integrating experiments into an energy-based reduced-order model for vortex induced-vibrations of a cylinder mounted as an inverted pendulum, Journal of Sound and Vibration, 276(1–2), 2004, 45–63.
[4] Williamson C., Govardhan R., Vortex-Induced Vibrations, Annual Review of Fluid Mechanics, 36, 2004, 413–455.
[5] Zdravkovich M.M., Review and classification of various aerodynamic and hydrodynamic means for suppressing vortex shedding, Journal of Wind Engineering and Industrial Aerodynamics, 7, 1981, 145–189.
[6] Walshe D.E., Wootton L.R., Preventing wind-induced oscillations of structures of circular section, Proceedings of the Institution of Civil Engineers, 47, 1979, 1–24.
[7] Tumkur, R.K.R., Domany, E., Gendelman, O.V., Masud, A., Bergman, L.A., Vakakis, A.F., Reduced-order model for laminar vortex-induced vibration of a rigid circular cylinder with an internal nonlinear absorber, J. Commun. Nonlinear Sci. Numer. Simul., 18, 2013, 1916–1930.
[8] Mehmood A., Nayfeh A.H., Hajj M.R., Effects of a non-linear energy sink (NES) on vortex-induced vibrations of a circular cylinder, Nonlinear Dynamics, 77, 2014, 667–680.
[9] Akhtar I., Nayfeh A.H., On controlling the bluff body wake using a reduced-order model, Proceedings of the 4th Flow Control Conference, AIAA-2008-4189, Seattle, WA, 2018.
[10] Akhtar I., Parallel Simulations, Reduced-order Modeling, and Feedback Control of Vortex Shedding using Fluidic Actuators, Ph.D. Thesis, Department of Aerospace Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, 2008.
[11] Blevins R.D., The effect of sound on vortex shedding from cylinders, Journal of Fluid Mechanics, 161, 1985, 217–237.
[12] Fowcs Williams J.E., Zhao B.C., The active control of vortex shedding, Journal of Fluids and Structures, 3, 1988 115–122.
[13] Huang X.Y., Feedback control of vortex shedding from a circular cylinder, Experiments in Fluids, 20, 1996 218–224.
[14] Baz A., Ro J., Active control of flow-induced vibrations of a flexible cylinder using direct velocity feedback, Journal of Sound and Vibration, 146, 1991, 33–45.
[15] Mehmood, A., Abdelkefi, A., Akhtar, I., Nayfeh, A.H., Nuhait, A., Hajj, M.R., Linear and nonlinear active feedback controls for vortex-induced vibrations of circular cylinders, Journal of Vibration and Control, 331, 2012, 5774–5787.
[16] Hajj, M.R., Mehmood, A., Akhtar, I., Single degree-of-freedom model of displacement in vortex-induced-vibrations, Nonlinear Dynamics, 103, 2021, 1305-1320.
[17] Konstantinidis, E., Zhao, J., Leontini, J., Jacono, D.L., Sheridan, J., Excitation and Damping Fluid Forces on a Cylinder Undergoing Vortex-Induced Vibration, Frontiers in Physics, 7, 2019, Article ID 185.
[18] Nayfeh, A.H., Perturbation Methods, Wiley, New York, 1973.
[19] Nayfeh, A.H., Introduction to Perturbation Techniques, Wiley, New York, 1981.
[20] Nayfeh, A.H., Owis, F., Hajj, M.R., A model for the coupled lift and drag on a circular cylinder. In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, American Society of Mechanical Engineers Digital Collection, 2003, 1289-1296.
[21] Mehmood, A., Abdelkefi, A., Hajj, M.R., Akhtar, I., Nayfeh, A.H., Nuhait, A., Piezoelectric Energy Harvesting from Vortex-Induced Vibrations of Circular Cylinder, Journal of Sound and Vibration, 332(19), 2013, 4656–4667.
[22] Akhtar, I., Elyyan, M., Higher-Order Spectral Analysis to Identify Quadratic Nonlinearities in Fluid-Structure Interaction, Mathematical Problems in Engineering, 2018, Article ID 2394124.
[23] Mehmood, A., Abdelkefi, A., Hajj, M.R., Akhtar, I., On the Onset of Bifurcation and Nonlinear Characterization of Vortex-induced Vibrations under Varying Initial Conditions, Nonlinear Dynamics, 99(1), 2019, 575-592.
[24] Ghommem, M., Akhtar, I., Hajj, M.R., A low-dimensional tool for predicting force decomposition coefficients for varying inflow conditions, Progress in Computational Fluid Dynamics, 13, 2013, 368-381.