Abstract
In the present paper, a numerical study is performed on the vortex-induced vibrations of three elastically mounted cylinders in a regular triangle arrangement at low Reynolds number. The motion of every single cylinder, which is free to oscillate in two degrees-of-freedom in an uniform flow and has the same mass and natural frequency in both inflow and cross flow directions, is modeled by a mass-spring-damper system. The vibrating displacement, mean and fluctuating aerodynamic forces, Strouhal number (St) and vortex shedding pattern in the wake of each cylinder are analyzed with seven spacing ratios L/D changing from 2.0 to 6.0. The results indicate that the simultaneous resonance may occur and the frequency of inflow vibration keeps consistent with that of cross flow vibration for the downstream cylinders. The cross flow oscillation amplitude of three cylinders significantly increased compared with the flow-induced vibration of a single elastically mounted cylinder and the cross oscillation of downstream cylinder is non-negligible for vortex-induced vibration of multi-cylinder system with low mass and damping.
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Acknowledgments
This research was funded by the National Natural Sciences Foundation of China (NSFC) (51008103 and 51008093).
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Xu, F., Xiao, Yq., Liu, Ht., Ou, Jp. (2014). Numerical Study on Vortex-Induced Vibration of Three Cylinders in Equilateral-Triangular Arrangements. In: Zhou, Y., Liu, Y., Huang, L., Hodges, D. (eds) Fluid-Structure-Sound Interactions and Control. Lecture Notes in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40371-2_56
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DOI: https://doi.org/10.1007/978-3-642-40371-2_56
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