Theory-guided empirical formulas for a floating platform optimization with TMDI subjected to hydrodynamic excitations
摘要
Floating platform is an important bearing foundation for many offshore structures. A TMDI damper is applied and optimized to reduce the vibration of offshore platforms subjected to the hydrodynamic load that induced by the combination of wave and current excitations. Two theory-guided empirical formulas of H-infinity optimal designed TMDI, which extends the fixed-point theory, are proposed to suppress the displacement and acceleration response of the floating platform considering the inherent structural damping, respectively. The sensitivity analysis is also investigated to assess the robustness of the TMDI. Finally, the control performance of the optimized TMDI is evaluated by attaching it to an OC3-Hywind Spar platform. The optimized TMDI-equipped platform takes less than 52% of the time required by the uncontrolled system to reach the steady state quickly under a quasi-periodic hydrodynamic excitation. It can also achieve reductions around 20%–30% in the maximum dynamic of platform’s displacement, velocity, acceleration and base shear compared to an uncontrol system under a white noise stochastic excitation. Moreover, although the TMDI entails a slight sacrifice in control performance compared to the TMD, it is more suitable for engineering applications involving vibration suppression in floating platforms with narrow interior spaces.