A novel modeling of energy extraction from nonlinear vortex-induced vibrations

Document Type : Full Length Article

Authors

1 Ph.D. Candidate, Department of Mechanical Engineering Ferdowsi University of Mashhad, Mashhad, Iran

2 Associate Professor, Department of Mechanical Engineering Ferdowsi University of Mashhad, Mashhad, Iran

10.22064/tava.2021.102793.1125

Abstract

In this study, energy harvesting from two-dimensional vortex-induced vibrations of a circular cylinder is investigated. To do so, the vibratory behavior of the flexibly mounted circular cylinders is described using the nonlinear wake-oscillator model. Then, the effect of changing the flow velocity on the dynamic behavior of the cylinder is numerically obtained and validated by experimental results.  The effect of changing the main parameters of the system on its electrical and vibratory behavior is investigated by employing the nonlinear electromechanical equations of motion. Unlike most previous studies that only tend to maximize the harvested energy, structural failure due to large deformation is considered in this study. For this reason, the so-called Perfection Rate (PR) parameter is introduced. By using this parameter, the application of the energy harvester is characterized, in which the energy harvesting system works efficiently, regarding its vibration amplitude, which should be small enough.
Furthermore, the proper load resistance range for the VIV-based energy harvesting system in the post-synchronization regime is obtained and it is demonstrated that the energy harvesting system with a small electromechanical coupling coefficient can effectively work in this regime

Highlights

  • A new model for energy harvesting from vortex-induced vibration is proposed.
  • The effect of changing the main parameters on the electromechanical system is studied.
  • The perfectibility parameter is proposed to study mechanical and electrical importance.

Keywords

Main Subjects


[1] S.-C. Huang, C.-Y. Tsai, Theoretical analysis of a new adjustable broadband PZT beam vibration energy harvester, International Journal of Mechanical Sciences, 105 (2016) 304-314.
[2] M. Karimi, A.H. Karimi, R. Tikani, S. Ziaei-Rad, Experimental and theoretical investigations on piezoelectric-based energy harvesting from bridge vibrations under travelling vehicles, International Journal of Mechanical Sciences, 119 (2016) 1-11.
[3] Z. Yang, Y. Tan, J. Zu, A Multi-impact Frequency Up-converted Magnetostrictive Transducer for Harvesting Energy from Finger Tapping, International Journal of Mechanical Sciences, (2017).
[4] D.P. Arnold, Review of Microscale Magnetic Power Generation, IEEE Transactions on Magnetics, 43 (2007) 3940-3951.
[5] P.D. Mitcheson, P. Miao, B.H. Stark, E. Yeatman, A. Holmes, T. Green, MEMS electrostatic micropower generator for low frequency operation, Sensors and Actuators A: Physical, 115 (2004) 523-529.
[6] S.R. Anton, H.A. Sodano, A review of power harvesting using piezoelectric materials (2003–2006), Smart materials and Structures, 16 (2007) R1.
[7] K. Cook-Chennault, N. Thambi, A. Sastry, Powering MEMS portable devices—a review of non-regenerative and regenerative power supply systems with special emphasis on piezoelectric energy harvesting systems, Smart Materials and Structures, 17 (2008) 043001.
[8] A. Afsharfard, A. Farshidianfar, Application of single unit impact dampers to harvest energy and suppress vibrations, Journal of Intelligent Material Systems and Structures, (2014) 1045389X14535012.
[9] A. Abdelkefi, Aeroelastic energy harvesting: A review, International Journal of Engineering Science, 100 (2016) 112-135.
[10] A. Postnikov, E. Pavlovskaia, M. Wiercigroch, 2DOF CFD calibrated wake oscillator model to investigate vortex-induced vibrations, International Journal of Mechanical Sciences.
[11] R.E.D. Bishop, A.Y. Hassan, The Lift and Drag Forces on a Circular Cylinder Oscillating in a Flowing Fluid, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 277 (1964) 51-75.
[12] R.D. Blevins, Flow-induced vibration, (1990).
[13] T. Sarpkaya, A critical review of the intrinsic nature of vortex-induced vibrations, Journal of fluids and structures, 19 (2004) 389-447.
[14] M.L. Facchinetti, E. De Langre, F. Biolley, Coupling of structure and wake oscillators in vortex-induced vibrations, Journal of Fluids and structures, 19 (2004) 123-140.
[15] A. Farshidianfar, H. Zanganeh, A modified wake oscillator model for vortex-induced vibration of circular cylinders for a wide range of mass-damping ratio, Journal of Fluids and Structures, 26 (2010) 430-441.
[16] N. Jauvtis, C. Williamson, The effect of two degrees of freedom on vortex-induced vibration at low mass and damping, Journal of Fluid Mechanics, 509 (2004) 23-62.
[17] J. Dahl, F. Hover, M. Triantafyllou, Two-degree-of-freedom vortex-induced vibrations using a force assisted apparatus, Journal of Fluids and Structures, 22 (2006) 807-818.
[18] N. Srinil, H. Zanganeh, A. Day, Two-degree-of-freedom VIV of circular cylinder with variable natural frequency ratio: Experimental and numerical investigations, Ocean Engineering, 73 (2013) 179-194.
[19] A. Abdelkefi, A. Nayfeh, M. Hajj, Enhancement of power harvesting from piezoaeroelastic systems, Nonlinear Dynamics, 68 (2012) 531-541.
[20] A. Abdelkefi, M. Hajj, A. Nayfeh, Phenomena and modeling of piezoelectric energy harvesting from freely oscillating cylinders, Nonlinear Dynamics, 70 (2012) 1377-1388.
[21] A. Abdelkefi, M.R. Hajj, A.H. Nayfeh, Power harvesting from transverse galloping of square cylinder, Nonlinear Dynamics, 70 (2012) 1355-1363.
[22] J.J. Allen, A.J. Smits, ENERGY HARVESTING EEL, Journal of Fluids and Structures, 15 (2001) 629-640.
[23] S. Pobering, N. Schwesinger, A novel hydropower harvesting device, in:  MEMS, NANO and Smart Systems, 2004. ICMENS 2004. Proceedings. 2004 International Conference on, IEEE, 2004, pp. 480-485.
[24] H.D. Akaydin, N. Elvin, Y. Andreopoulos, Energy harvesting from highly unsteady fluid flows using piezoelectric materials, Journal of Intelligent Material Systems and Structures, 21 (2010) 1263-1278.
[25] J. Xie, J. Yang, H. Hu, Y. Hu, X. Chen, A piezoelectric energy harvester based on flow-induced flexural vibration of a circular cylinder, Journal of Intelligent Material Systems and Structures, 23 (2012) 135-139.
[26] A. Erturk, D.J. Inman, Piezoelectric energy harvesting, John Wiley & Sons, 2011.
[27] N. Srinil, H. Zanganeh, Modelling of coupled cross-flow/in-line vortex-induced vibrations using double Duffing and van der Pol oscillators, Ocean Engineering, 53 (2012) 83-97.
[28] I. Currie, D. Turnbull, Streamwise oscillations of cylinders near the critical Reynolds number, Journal of Fluids and Structures, 1 (1987) 185-196.
[29] A.H. Nayfeh, Introduction to Perturbation Techniques, Wiley, 1993.
[30] A. Mehmood, A. Abdelkefi, M. Hajj, A. Nayfeh, I. Akhtar, A. Nuhait, Piezoelectric energy harvesting from vortex-induced vibrations of circular cylinder, Journal of Sound and Vibration, 332 (2013) 4656-4667.
[31] L. Zhao, L. Tang, Y. Yang, Comparison of modeling methods and parametric study for a piezoelectric wind energy harvester, Smart materials and Structures, 22 (2013) 125003.
[32] S. Kim, W.W. Clark, Q.-M. Wang, Piezoelectric energy harvesting with a clamped circular plate: analysis, Journal of intelligent material systems and structures, 16 (2005) 847-854.
[33] S. Kim, W.W. Clark, Q.-M. Wang, Piezoelectric energy harvesting with a clamped circular plate: experimental study, Journal of Intelligent Material Systems and Structures, 16 (2005) 855-863.
[34] D.L. DeVoe, Piezoelectric thin film micromechanical beam resonators, Sensors and Actuators A: Physical, 88 (2001) 263-272.