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.

建立了研究六自由度滑行船体动力学的数学模型。用该模型模拟了转弯圆以及曲折操纵。将结果与CFD（计算流体动力学）模拟进行比较，并与其他作者报告的实验结果吻合良好。进行了数值实验设计，以评估棱柱形船体在平面状态下的可操纵性，该实验的响应变量是战术直径和转弯试验的进展。实验因素是：位移，测试速度，船体的死角，重心的水平位置，重心的垂直位置和舵角。实验结果用于生成响应面和回归模型，该模型可以根据主要设计变量来评估可操作性。模型的开发确定了船在垂直和横向平面上呈现动态不稳定性的不同条件。