Development of a Nonlinear Mathematical Model to Simulate Two Stepped Planing Hulls Behaviors in Regular Waves

In recent years, dynamic modeling of stepped planing hull has become one of important topics in hydrodynamics science. In this paper, a dynamic model has been extracted for heave and pitch motions of stepped planing craft in the raging water. The basic of mathematical model are 2D theory and momentum variation in boat’s length. Presented mathematical model divides the two stepped hull to three parts and by assuming linear wake theory for steps, added mass and wetted surfaces are recognized. Since, numerical and experimental data not available to evaluate dynamic of stepped planing hull in wave, accuracy of the mathematical model is evaluated using the result of non-stepped planing hull in wave. Comparisons prove the ability of presented mathematical model for suitable performance evaluation of two stepped hulls in raging water. Finally, mathematical model developed has been used to calculate dynamic of two stepped craft and parameters affecting has been studied on vessel dynamic in wave.