# Vortex-induced vibration of a linearly sprung cylinder with an internal rotational nonlinear energy sink in turbulent flow

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## Abstract

We computationally investigate flow past a three-dimensional linearly sprung cylinder undergoing vortex-induced vibration (VIV) transverse to the free stream and equipped with an internal dissipative rotational nonlinear energy sink (NES). The rotational NES consists of a line mass allowed to rotate at constant radius about the cylinder axis, with linearly damped rotational motion. We consider a value of the Reynolds number (\(\textit{Re}=10{,}000\), based on the cylinder diameter and free-stream velocity) at which flow past a linearly sprung cylinder with no NES is three-dimensional and fully turbulent. For this \(\textit{Re}\) value, we show that the rotational NES is capable of passively harnessing a substantial amount of kinetic energy from the rectilinear motion of the cylinder, leading to a significant suppression of cylinder oscillation and a nearly twofold reduction in drag. The results presented herein are of practical significance since they demonstrate a novel passive mechanism for VIV suppression and drag reduction in a high-\(\textit{Re}\) bluff body flow, and lay down the groundwork for designing nonlinear energy sinks with a view to enhancing the performance of VIV-induced power generation in marine currents.

## Keywords

Vortex-induced vibration Nonlinear energy sink Energy harvesting Turbulent vortex shedding## Notes

### Acknowledgements

The authors gratefully acknowledge use of the facilities at the Argonne National Laboratory. The first author acknowledges the Computational Science and Engineering Fellowship program at the University of Illinois at Urbana–Champaign. This work was supported in part by National Science Foundation Grant CMMI-1363231. Any opinion, findings, and conclusions or recommendations expressed in this work are those of the authors and do not necessarily reflect the views of the National Science Foundation.

### Funding

This study was partially funded by National Science Foundation Grant CMMI-1363231. A. B. was partially supported by the Computational Science and Engineering Fellowship program at the University of Illinois at Urbana–Champaign.

### Compliance with ethical standards

### Conflict of interest

The authors declare that they have no conflict of interest.

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