Equations of Motion for a Towed Body Moving in a Vertical Plane

摘要

Equations of motion are developed for a towed body moving in a plane defined by gravity and the fore-and-aft axis of the ship. Solution of the cross-coupled equations enables predictions to be made of towed body heave, surge, and pitch motions. The towline is approximated as a spring with one third of its mass added to the body at the towpoint. A discussion of computational techniques to compute masses, damping constants, and spring constants is also presented. Because of the number of terms in the equations for heave, surge, and pitch, the solutions have been programmed in FORTRAN IV. (Author)