A Nonlinear Mathematical Model of Motions of a Planing Boat in Regular Waves
DAVID W TAYLOR NAVAL SHIP RESEARCH AND DEVELOPMENT CENTER BETHESDA MD
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A nonlinear mathematical model has been formulated of a craft having a constant deadrise angle, planing in regular waves, using a modified low- aspect-ratio or strip theory. It was assumed that the wavelengths would be large in comparison to the craft length and that the wave slopes would be small. The coefficients in the equations of motion were determined by a combination of theoretical and empirical relationships. A simplified version for the case of a craft or model being towed at constant speed was programmed for computations on a digital computer, and the results were compared with existing experimental data. Comparison of computed pitch and heave motions and phase angles with corresponding experimental data was remarkably good. Comparison of bow and center of gravity vertical accelerations was fair to good.
- Numerical Mathematics
- Computer Programming and Software
- Marine Engineering
- Fluid Mechanics