Modelling and analysis framework for nonlinear dynamics of submerged tensioned cables

We present a universal modelling approach and a unified analytical framework for nonlinear dynamics of the submerged tensioned anchor cable (STAC) considering the coupling effect of the parametric excitation and vortex-induced vibration (VIV). Through a self-consistent verification method, we demonstrate that only using the first few modal response for dynamic analysis will lead to great errors. In addition, our research shows that in order to ensure the accuracy of the results, at least the first nine-order modal information is required. Another major contribution of this article is to propose an improved Galerkin's discretization method and a standard analytical framework for stability analysis of the STAC. The entire analysis process is analytical, thus ensuring the accuracy and efficiency of the calculation, which can be used to investigate the internal mechanism of the steady-state solution transition from unstable to stable.