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Mathematical simulation of planar motion mechanism test for planing hulls by using 2D + T theory

机译：基于2D + T理论的平面船体平面运动机构试验的数学模拟。

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Current paper addresses planar motion mechanism (PMM) test of planing hulls by taking the advantages of recent progress in modeling of planing hulls motion. A mathematical model based on 2D + T theory is developed for simulating PMM tests of planing hulls when boat is free in heave, pitch and roll directions. Three degrees of freedom have been considered for wedge, and then the hydrodynamic loads on the wedge are obtained. Integrating the forces and angular moment over the entire length of the vessel, the three dimensional forces and moments in vertical, transverse and horizontal planes are computed. Beside, three equations governing on motion of the boat in heave, pitch and roll directions are formulated. Simulations have been performed to find the dynamic response of the boat during pure sway/yaw tests. The results are compared against available data and good agreement between experimental and mathematical results is observed. In the next stage of simulations, hydrodynamic coefficients of a planing hull in horizontal plane are mathematically found. Results of this simulation suggest that amplitude of motion has no remarkable influence on hydrodynamic coefficients. However, small frequencies can affect the added mass in sway and yaw directions, especially at smaller speeds.
机译：本论文通过利用在滑行船运动建模方面的最新进展的优势来解决滑行船的平面运动机制（PMM）测试。建立了基于2D + T理论的数学模型，用于模拟当船在升沉，俯仰和横滚方向上自由时，滑行船体的PMM测试。楔块已经考虑了三个自由度，然后获得了楔块上的流体动力载荷。将力和角力矩在整个船舶长度上进行积分，可以计算出垂直，横向和水平面上的三维力和力矩。此外，还制定了三个方程式，它们控制着船在升沉，俯仰和横滚方向上的运动。已经进行了仿真，以找出纯摇摆/偏航测试期间船的动态响应。将结果与可用数据进行比较，并观察到实验结果与数学结果之间的良好一致性。在下一阶段的仿真中，可以在数学上找到滑行船体在水平面内的流体动力系数。仿真结果表明，运动幅度对流体动力系数没有显着影响。但是，小频率会影响摇摆和偏航方向上的附加质量，尤其是在较小的速度下。

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