Galloping and VIV control of square-section cylinder utilizing direct opposing smart control force

Document Type : Research Article

Author

School of Mechanical Engineering, Arak University of Technology, Arak, Iran.

Abstract

An adaptive fuzzy sliding mode controller (AFSMC) is adopted to reduce the 2D flow-induced vibration of an elastically supported square-section cylinder, free to oscillate in stream-wise and
transverse directions in both lock-in and galloping regions. The AFSMC strategy consists of a fuzzy logic inference system intended to follow a sliding-mode controller (SMC), and a robust control system designed to retrieve the variance between the sliding mode and fuzzy controllers.  The sprung square cylinder first experiences vortex-induced vibrations with increasing Reynolds number, and then, after passing the critical flow velocity, it confronts high-amplitude and low-frequency
vibrations of galloping owning to its sharp corners. A co-simulation platform is considered by linking the AFSMC system modeled in Matlab/Simulink to the plant model implemented in Fluent, aiming at the calculation of opposite control force needed for comprehensive annihilation of the cylinder motions. Based on the performed numerical simulations, it becomes clear that the utilized active control system has successfully mitigated the two-degree-of-freedom vibrations of a square cylinder in both the lock-in region and galloping zone. Here, the vibration amplitudes in the transverse and
streamwise directions have decreased by 93% and 94%, for the lock-in region and 93% and 99%, for the galloping zone, respectively.

Highlights

  • The AFSM control strategy is adopted to reduce the 2D FIV of a sprung square-section cylinder.
  • The cylinder is free to vibrate in streamwise and transverse directions in lock-in and galloping regions.
  • The AFSMC strategy consists of a fuzzy logic inference system and a robust controller.
  •  A co-simulation platform is considered by linking the AFSMC system to the plant CFD model.
  •  The controller has effectively reduced the vibrations of cylinder in the lock-in and galloping regions.

Keywords


[1] M. Keber, M. Wiercigroch, Dynamics of a vertical riser with weak structural nonlinearity excited by wakes, Journal of Sound and Vibration, 315 (2008) 685-699.
[2] V.D. Tandel, R.V. Patil, A Survey on vortex induced vibration of cross flow heat exchanger tubes, International Journal of Engineering Research and Technology, 3 (2014).
[3] N.A. Capell, D.W. Carlson, Y. Modarres-Sadeghi, Vortex-induced vibration of a single degree-of-freedom flexibly-mounted horizontal cylinder near the free surface, Journal of Sound and Vibration, 444 (2019) 161-175.
[4] H. Jayatunga, B.T. Tan, J. Leontini, A study on the energy transfer of a square prism under fluid-elastic galloping, Journal of Fluids and Structures, 55 (2015) 384-397.
[5] S. Sen, S. Mittal, Free vibration of a square cylinder at low Reynolds numbers, Journal of Fluids and Structures, 27 (2011) 875-884.
[6] S.M. Hasheminejad, A.H. Rabiee, H. Bahrami, Active closed-loop vortex-induced vibration control of an elastically mounted circular cylinder at low Reynolds number using feedback rotary oscillations, Acta Mechanica, 229 (2018) 231-250.
[7] R.A. Kumar, C.-H. Sohn, B.H. Gowda, Passive control of vortex-induced vibrations: an overview, Recent Patents on Mechanical Engineering, 1 (2008) 1-11.
[8] A.H. Rabiee, Regenerative semi-active vortex-induced vibration control of elastic circular cylinder considering the effects of capacitance value and control parameters, Journal of Mechanical Science and Technology, 32 (2018) 5583-5595.
[9] N. Fujisawa, G. Takeda, N. Ike, Phase-averaged characteristics of flow around a circular cylinder under acoustic excitation control, Journal of Fluids and Structures, 19 (2004) 159-170.
[10] W.-L. Chen, D.-B. Xin, F. Xu, H. Li, J.-P. Ou, H. Hu, Suppression of vortex-induced vibration of a circular cylinder using suction-based flow control, Journal of Fluids and Structures, 42 (2013) 25-39.
[11] S.M. Hasheminejad, A.H. Rabiee, M. Jarrahi, A. Markazi, Active vortex-induced vibration control of a circular cylinder at low Reynolds numbers using an adaptive fuzzy sliding mode controller, Journal of Fluids and Structures, 50 (2014) 49-65.
[12] J. Jiménez-González, F. Huera-Huarte, Vortex-induced vibrations of a circular cylinder with a pair of control rods of varying size, Journal of Sound and Vibration, 431 (2018) 163-176.
[13] E. Berger, Suppression of vortex shedding and turbulence behind oscillating cylinders, The Physics of Fluids, 10 (1967) 191-193.
[14] A. Baz, J. Ro, Active control of flow-induced vibrations of a flexible cylinder using direct velocity feedback, Journal of Sound and Vibration, 146 (1991) 33-45.
[15] S. Poh, A. Baz, A demonstration of adaptive least-mean-square control of small amplitude vortex-induced vibrations, Journal of fluids and structures, 10 (1996) 615-632.
[16] P. Carbonell, X. Wang, Z.P. Jiang, On the suppression of flow-induced vibration with a simple control algorithm, Communications in Nonlinear Science and Numerical Simulation, 8 (2003) 49-64.
[17] B.-Q. Li, Y. Liu, J.-R. Chu, Vortex-induced vibration control by micro actuator, Journal of mechanical science and technology, 21 (2007) 1408.
[18] A. Mehmood, A. Abdelkefi, I. Akhtar, A.H. Nayfeh, A. Nuhait, M.R. Hajj, Linear and nonlinear active feedback controls for vortex-induced vibrations of circular cylinders, Journal of Vibration and control, 20 (2014) 1137-1147.
[19] S.M. Hasheminejad, A.H. Rabiee, A. Markazi, Dual-Functional Electromagnetic Energy Harvesting and Vortex-Induced Vibration Control of an Elastically Mounted Circular Cylinder, Journal of Engineering Mechanics, 144 (2017) 04017184.
[20] M. Zhao, L. Cheng, T. Zhou, Numerical simulation of vortex-induced vibration of a square cylinder at a low Reynolds number, Physics of Fluids, 25 (2013) 023603.
[21] A.H. Dawi, R.A. Akkermans, Direct and integral noise computation of two square cylinders in tandem arrangement, Journal of Sound and Vibration, 436 (2018) 138-154.
[22] K. Venkatraman, S. Narayanan, Active control of flow-induced vibration, Journal of sound and vibration, 162 (1993) 43-55.
[23] L. Cheng, Y. Zhou, M. Zhang, Controlled vortex-induced vibration on a fix-supported flexible cylinder in cross-flow, Journal of sound and vibration, 292 (2006) 279-299.
[24] H. Dai, A. Abdelkefi, L. Wang, W. Liu, Control of cross-flow-induced vibrations of square cylinders using linear and nonlinear delayed feedbacks, Nonlinear Dynamics, 78 (2014) 907-919.
[25] C.-H. Wu, S. Ma, C.-W. Kang, T.-B. Lim, R.K. Jaiman, G. Weymouth, O. Tutty, Suppression of vortex-induced vibration of a square cylinder via continuous twisting at moderate Reynolds numbers, Journal of Wind Engineering and Industrial Aerodynamics, 177 (2018) 136-154.
[26] S.M. Hasheminejad, A.H. Rabiee, M. Jarrahi, Semi-active vortex induced vibration control of an elastic elliptical cylinder with energy regeneration capability, International Journal of Structural Stability and Dynamics, 17 (2017) 1750107.
[27] A.H. Rabiee, A.H. Markazi, Semi-active adaptive fuzzy sliding mode control of buildings under earthquake excitations, in:  Proceedings of the 2nd World Congress on civil, structural, and environmental engineering, Barcelona, Spain, 2017.
[28] G. Susheelkumar, S. Murigendrappa, K. Gangadharan, Theoretical and experimental investigation of model-free adaptive fuzzy sliding mode control for MRE based adaptive tuned vibration absorber, Smart Materials and Structures, 28 (2019) 045017.
[29] A. Poursamad, A.H. Davaie-Markazi, Robust adaptive fuzzy control of unknown chaotic systems, Applied Soft Computing, 9 (2009) 970-976.
[30] H. Navvabi, A.H. Markazi, Hybrid position/force control of Stewart Manipulator using Extended Adaptive Fuzzy Sliding Mode Controller (E-AFSMC), ISA transactions, 88 (2019) 280-295.
[31] S. Sen, S. .Mittal, Effect of mass ratio on free vibrations of a square cylinder at low Reynolds numbers, Journal of Fluids and Structures, 54 (2015) 661-678.
[32] H. Warui, N. Fujisawa, Feedback control of vortex shedding from a circular cylinder by cross-flow cylinder oscillations, Experiments in Fluids, 21 (1996) 49-56.