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MATHEMATICAL MODEL OF THE VESSEL WITH WHEELED PROPULSION-STEERING COMPLEX "GOLDEN RING"

A mathematical model of a large cruise ship "Golden ring" under construction (PKS-180 project) with a wheeled propulsion and steering complex equipped with azimuth thruster has been developed. Ships with such a set of propellers (two propellers in the stern and an azimuthal thruster) have never been built before. The model is based on the basic equations of mechanics. While creating the model there were used the calculated data and data from the design documentation of the company "Gama" (Nizhny Novgorod) obtained from the tests in the experimental pool. There was derived the formula for total thrust force of the propeller wheels with split slabs with displacement, for resistance of the hull depending on the speed of the vessel, for the traction characteristics of the water-bearing azimuth thruster. Due to the design features of the vessel (low draft, flat bottom, large sail), much attention is paid to the consideration of wind impact on its dynamic characteristics. There were also obtained expressions for the longitudinal and transverse forces of the wind impact on the hull and their torques, as well as for calculating the direction and strength of the "apparent" wind. As a result, a system of ten differential equations describing the vessel with wheeled propulsion and steering complex "Golden ring" has been produced, in which two propeller wheels and an azimuthal thruster are used as propulsion unit, taking into consideration the wind load. The paper also presents the results of checking the adequacy of the given mathematical model of the vessel with wheeled propulsion and steering complex, results of analysis of the vessel acceleration characteristics at different speeds of propeller wheels rotation, as well as dynamic characteristics of the vessel during the circulation. The data calculated with the mathematical model coincide with the design data.