Proposal of a Mutual Inertia Force Coupling on the Wake Oscillator Model for Vortex-Induced Vibrations

A set of low-order models, used for determining vortex-induced vibrations of a rigid cylinder with elastic support in a uniform flow, were proposed and analysed. A Van der Pol equation is used for modelling wake dynamics which describe the dynamic behaviour of vortex shedding. The wake oscillator links with a one degree of freedom structural oscillator. The coupling terms which model this fluid–structure interaction are considered. The model dynamics are probed analytically and compared to experimental results. Multiple models are proposed involving mutual interaction of couplings and time delay functions. The most appropriate model is determined. The results are to be compared to experimental results and prior linear structural oscillator results. In order to achieve this, the original coupling with linear structural oscillator is recreated, and multiple new approaches to develop it are attempted.