As a multi-body system, the floating offshore wind turbine (FOWT) exhibits significant coupling effect between rotational and translational displacements, and neglecting some rotational angles or applying small-angle assumption in calculations will influence the accuracy of results. In this paper, a 16 degrees of freedom multi-body coupled model including platform, tower, and rotor blades is established. The model fully accounts for coordinate transformations caused by FOWT’s rotation without small-angle assumption, while considering the coupling characteristics between aerodynamic forces, hydrodynamic forces, and structure, and is employed for calculating FOWT responses and investigating the control performance of mass dampers. Taking the Spar-type FOWT as an example, the simulation results comparison between the coupled model and OpenFAST demonstrates its accuracy. Subsequent response analysis indicates that the small-angle assumption underestimates the FOWT response under free vibration and wave loading, while overestimating response under wind loading. Simultaneously, the impact of hydrodynamic computational methods and servo control systems on the calculation results was also analyzed. Finally, using tuned swing mass damper as an example, the modeling method for mass dampers is introduced and the impact of small-angle assumption on computational results is analyzed, providing reference for researchers in the field of FOWT control.
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