Abstract

A mathematical model studying the dynamic of planing hulls with six degrees of freedom is developed. The turning circle as well as the zigzag maneuvers are simulated with this model. The results are compared with CFD (computational fluid dynamics) simulations and experimental results reported by others authors with good agreement. A numerical experiment design was performed to evaluate the maneuverability in prismatic hulls in planing regime, the response variables of the experiment are the tactical diameter and the advance in the turning circle test. The experiment factors are: the displacement, the test velocity, the deadrise angle of the hull, the horizontal position of the gravity center, the vertical position of the gravity center, and the rudder angle. The experiment results were used to generate a response surface and a regression model that allows evaluate the maneuverability as a function of the main design variables. The development of the model identified different conditions where the boat presents dynamic instability in the vertical and transversal planes.

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