Hydrofoil Simulation Equations Study: Mathematical Model Report: Volume I. Foilborne Equations of Motion

摘要

In anticipation of the growing use by the U. S. Navy of hydrofoils as gun boats, patrol boats, and as antisubmarine warfare craft, a study was initiated to formulate the mathematical models required for simulating the hydrofoil as a pilot-controlled training situation and as a target or own-ship vehicle. This report presents the results of the study. The mathematical formulation was developed in three parts; each part is treated as the topic of a separate volume of the report. Volume I presents the complete six-degrees-of-freedom equations of motion for a hydrofoil craft in the foilborne mode. To ensure realism in the equation solutions, known nonlinear effects are incorporated in the derivations. Material presented in the three volumes enables a person to assemble a hydrofoil simulation which will demonstrate craft dynamic behavior during take-off or landing in smooth water, during foilborne maneuvers in smooth water or regular waves, and during foilborne operation on a fixed heading in realistic seas. The limitations inherent in the work at present result mainly from a lack of a complete theoretical or empirical description of foil and strut hydrodynamic characteristics. For future improvements in simulation realism, advancements must be supported in the field of hydrofoil hydrodynamics.