Effect of Nonlinear Magnetic Forces on Transverse Galloping Dynamics of Square Cylinders
Abstract
Under the influence of cross-fluid flow, a cylinder of a square cross-section may gallop. Galloping is a self-excited vibration mode that can be utilized for low-power harvesting applications. The harvested power depends on several factors, including upstream flow velocity and system dynamics. This study explores the potential of magnetically-induced nonlinear stiffness to improve the power output of galloping-based energy harvesters. In this experimental study, the vibration response of a square rod with a mass ratio of 10 is investigated at a Reynolds number of 200. The vibration behavior of two identical coaxial square rods with magnetic monopoles at opposite ends is analyzed. Results reveal that the magnets’ configuration and strength significantly affect vibration amplitude and the critical flow velocity necessary for the onset of galloping.
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References
Abdelmwgoud, M., Shaaban, M., & Mohany, A. (2021). Shear layer synchronization of aerodynamically isolated opposite cavities due to acoustic resonance excitation. Physics of Fluids, 33(5). https://doi.org/10.1063/5.0051226 DOI: https://doi.org/10.1063/5.0051226
Bearman, P. W., & Obasaju, E. D. (1982). An experimental study of pressure fluctuations on fixed and oscillating square-section cylinders. Journal of Fluid Mechanics, 119, 297–321. https://doi.org/10.1017/S0022112082001360 DOI: https://doi.org/10.1017/S0022112082001360
Huynh, B. H., & Tjahjowidodo, T. (2017). Experimental chaotic quantification in bistable vortex induced vibration systems. Mechanical Systems and Signal Processing, 85, 1005–1019. https://doi.org/10.1016/j.ymssp.2016.09.025 DOI: https://doi.org/10.1016/j.ymssp.2016.09.025
Joly, A., Etienne, S., & Pelletier, D. (2012). Galloping of square cylinders in cross-flow at low Reynolds numbers. Journal of Fluids and Structures, 28, 232–243. https://doi.org/10.1016/j.jfluidstructs.2011.12.004 DOI: https://doi.org/10.1016/j.jfluidstructs.2011.12.004
Kawai, H. (1995). Effects of angle of attack on vortex induced vibration and galloping of tall buildings in smooth and turbulent boundary layer flows. Journal of Wind Engineering and Industrial Aerodynamics, 54–55, 125–132. https://doi.org/10.1016/0167-6105(94)00035-C DOI: https://doi.org/10.1016/0167-6105(94)00035-C
Li, X., Lyu, Z., Kou, J., & Zhang, W. (2019). Mode competition in galloping of a square cylinder at low Reynolds number. Journal of Fluid Mechanics, 867, 516–555. https://doi.org/10.1017/jfm.2019.160 DOI: https://doi.org/10.1017/jfm.2019.160
Lv, Y., Sun, L., Bernitsas, M. M., & Sun, H. (2021). A comprehensive review of nonlinear oscillators in hydrokinetic energy harnessing using flow-induced vibrations. Renewable and Sustainable Energy Reviews, 150, 111388. https://doi.org/10.1016/j.rser.2021.111388 DOI: https://doi.org/10.1016/j.rser.2021.111388
Ma, X., & Zhou, S. (2022). A review of flow-induced vibration energy harvesters. Energy Conversion and Management, 254, 115223. https://doi.org/10.1016/j.enconman.2022.115223 DOI: https://doi.org/10.1016/j.enconman.2022.115223
Mannini, C., Marra, A. M., & Bartoli, G. (2014). VIV–galloping instability of rectangular cylinders: Review and new experiments. Journal of Wind Engineering and Industrial Aerodynamics, 132, 109–124. https://doi.org/10.1016/j.jweia.2014.06.021 DOI: https://doi.org/10.1016/j.jweia.2014.06.021
Nakamura, Y., & Mizota, T. (1975). Unsteady Lifts and Wakes of Oscillating Rectangular Prisms. Journal of the Engineering Mechanics Division, 101(6), 855–871. https://doi.org/10.1061/JMCEA3.0002077 DOI: https://doi.org/10.1061/JMCEA3.0002077
Paı¨doussis, M. P. (2006). Real-life experiences with flow-induced vibration. Journal of Fluids and Structures, 22(6–7), 741–755. https://doi.org/10.1016/j.jfluidstructs.2006.04.002 DOI: https://doi.org/10.1016/j.jfluidstructs.2006.04.002
Rashed, M. R., Elsayed, M. E. A., & Shaaban, M. (2024). Influence of magnetically-induced nonlinear added stiffness on the lift galloping of square cylinders at low Reynolds number. Journal of Fluids and Structures, 124, 104046. https://doi.org/10.1016/j.jfluidstructs.2023.104046 DOI: https://doi.org/10.1016/j.jfluidstructs.2023.104046
Rostami, A. B., & Armandei, M. (2017). Renewable energy harvesting by vortex-induced motions: Review and benchmarking of technologies. Renewable and Sustainable Energy Reviews, 70, 193–214. https://doi.org/10.1016/j.rser.2016.11.202 DOI: https://doi.org/10.1016/j.rser.2016.11.202
Sen, S., & Mittal, S. (2011). Free vibration of a square cylinder at low Reynolds numbers. Journal of Fluids and Structures, 27(5–6), 875–884. https://doi.org/10.1016/j.jfluidstructs.2011.03.006 DOI: https://doi.org/10.1016/j.jfluidstructs.2011.03.006
Sen, S., & Mittal, S. (2016). Free Vibrations of a Square Cylinder of Varying Mass Ratios. Procedia Engineering, 144, 34–42. https://doi.org/10.1016/j.proeng.2016.05.004 DOI: https://doi.org/10.1016/j.proeng.2016.05.004
Shaaban, M., & Mohany, A. (2021). Synchronous vortex shedding from aerodynamically isolated side-by-side cylinders imposed by flow-excited resonant acoustic modes. Experiments in Fluids, 62(10), 205. https://doi.org/10.1007/s00348-021-03301-9 DOI: https://doi.org/10.1007/s00348-021-03301-9
Shaaban, M., & Mohany, A. (2022). Flow–acoustic coupling around rectangular rods of different aspect ratios and incidence angles. Experiments in Fluids, 63(2), 45. https://doi.org/10.1007/s00348-022-03380-2 DOI: https://doi.org/10.1007/s00348-022-03380-2
Song, Y., Liu, Z., Rxnnquist, A., Navik, P., & Liu, Z. (2020). Contact Wire Irregularity Stochastics and Effect on High-speed Railway Pantograph-Catenary Interactions. IEEE Transactions on Instrumentation and Measurement, 1–1. https://doi.org/10.1109/TIM.2020.2987457 DOI: https://doi.org/10.1109/TIM.2020.2987457
Song, Y., Wang, Z., Liu, Z., & Wang, R. (2021). A spatial coupling model to study dynamic performance of pantograph-catenary with vehicle-track excitation. Mechanical Systems and Signal Processing, 151, 107336. https://doi.org/10.1016/j.ymssp.2020.107336 DOI: https://doi.org/10.1016/j.ymssp.2020.107336
Wang, J., Geng, L., Ding, L., Zhu, H., & Yurchenko, D. (2020). The state-of-the-art review on energy harvesting from flow-induced vibrations. Applied Energy, 267, 114902. https://doi.org/10.1016/j.apenergy.2020.114902 DOI: https://doi.org/10.1016/j.apenergy.2020.114902
Zhang, M., Xu, F., & Han, Y. (2020). Assessment of wind-induced nonlinear post-critical performance of bridge decks. Journal of Wind Engineering and Industrial Aerodynamics, 203, 104251. https://doi.org/10.1016/j.jweia.2020.104251 DOI: https://doi.org/10.1016/j.jweia.2020.104251
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Article Details
Accepted 2024-07-14
Published 2024-09-30