Preprint Communication Version 1 Preserved in Portico This version is not peer-reviewed

New Nonlinear Coupled Model for Modeling the Vortex Induced Vibrations of Flexibly Supported Circular Cylinders

Version 1 : Received: 22 September 2023 / Approved: 22 September 2023 / Online: 25 September 2023 (13:04:13 CEST)

How to cite: Zhang, S.; Afsharfard, A.; Chen, G.; Chen, W.; Kim, K.C. New Nonlinear Coupled Model for Modeling the Vortex Induced Vibrations of Flexibly Supported Circular Cylinders. Preprints 2023, 2023091607. https://doi.org/10.20944/preprints202309.1607.v1 Zhang, S.; Afsharfard, A.; Chen, G.; Chen, W.; Kim, K.C. New Nonlinear Coupled Model for Modeling the Vortex Induced Vibrations of Flexibly Supported Circular Cylinders. Preprints 2023, 2023091607. https://doi.org/10.20944/preprints202309.1607.v1

Abstract

The oscillation of an elastically mounted rigid cylinder excited by steady fluid flow is investigated. Regarding the nonlinearity of real practical structures like marine risers and the stay cable of a long-span bridge, the dynamic behavior of the circular cylinder is described by double Duffing equations and the aerodynamic force performance of the wake flow is expressed by wake oscillator equation. Unlike previous studies, in the present investigation, attention is focused on coupling the wake oscillator equations, taking into account quadratic terms. Following this approach, the cylinder's combined cross-flow and in-line Vortex-Induced Vibrations (VIV) are modeled more accurately. Empirical coefficients are adjusted through comparison with previous credible experimental studies and the effects of changing coefficients of the quadratic terms on major VIV parameters are investigated. The oscillating amplitude calculated by the present model is close to that of the experiment. The relative error of results obtained by the present coupled model is lower than the previous model. Moreover, the present model successfully predicts the moving trajectories of a circular cylinder under VIV in a figure-of-eight shape.

Keywords

Vortex-Induced vibration; Wake oscillator equation; Numerical simulation; Nonlinear modeling

Subject

Engineering, Mechanical Engineering

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