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arXiv · 2601.23097

Stability prediction of vortex induced vibrations of multiple freely oscillating bodies

Théo Mouyen·Javier Sierra·David Fabre·Flavio Giannetti
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Abstract

The vortex-induced vibration of multiple spring-mounted bodies free to move in the orthogonal direction of the flow is investigated. In a first step, we derive a Linear Arbitrary Lagrangian Eulerian (L-ALE) method to solve the fluid-structure linear problem as well as a forced problem where a harmonic motion of the bodies is imposed. We then propose a low computational-cost impedance-based criterion to predict the instability thresholds. A global stability analysis of the fluid-structure system is then performed for a tandem of cylinders and the instability thresholds obtained are found to be in perfect agreement with the predictions of the impedance-based criterion. An extensive parametric study is then performed for a tandem of cylinders and the effects of mass, damping and spacing between the bodies are investigated. Finally we also apply the impedance-based method to a three-body system to show its validity to a higher number of bodies.

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Théo Mouyen, Javier Sierra, David Fabre, Flavio Giannetti. 2026-01-30. Stability prediction of vortex induced vibrations of multiple freely oscillating bodies. https://arxiv.org/abs/2601.23097

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