Evaluation of planing craft maneuverability using mathematical modeling under the action of the rudder

In the recent years, different mathematical models have been suggested for maneuvering of displacement vessels, which are capable to estimate maneuvering of the vessel with acceptable precision. But, simulation of planing craft maneuverability through a mathematical model has not been developed yet. In this paper, a mathematical model is developed for maneuvering of the planing craft by including the rudder forces and moments. Different maneuvers, such as straight-line stability, course keeping, and turning circle, are executed through the mathematical model. Simulation results are validated with the published experimental results and it is shown that they are in good agreement. Finally, the influence of rudder angle on maneuverability of planing craft is studied and, also, the effect of aspect ratio has been investigated. The mathematical model and hydrodynamic coefficients presented in this paper can be applied for the optimization of planing craft maneuvering and the course control purposes.