ABSTRACT
An effective nonlinear mathematical model of longitudinal and transverse hydrodynamic forces and moment on the hull of the ship for any angles of drift in the case of plane motion is proposed. The construction of the model is based on the physical and mathematical properties of the hydrodynamic forces and uses the hydrodynamic constants of the polynomial models. The model is based on the restoration of the hydrodynamic characteristics of the ship from their Maclaurin series expansions, contains infinitely differentiable functions and simple expressions for the hydrodynamic constants. A numerical analysis of the obtained dependences for the longitudinal, lateral hydrodynamic forces and the moment on the hull of the vessel for different values of the angular velocity and any angles of drift is carried out. Good matching has been established between the proposed model and polynomial models, known nonlinear trigonometric models and experimental data. The proposed model can be written for any type of vessel under any traffic conditions if the hydrodynamic constants of the corresponding polynomial model are known.
