A large-amplitude motion of a body of revolution in shallow water is analyzed by assuming the bottom to be even and the Froude number to be large enough for the velocity potential to vanish on the undisturbed free surface. First, the classical Kirchhoff-Lagrange equations of motion are extended to the case of time-dependent added-mass and inertia coefficients. It is demonstrated how these expressions can be applied for the case of a prolate spheroid maneuvering in shallow water, where useful analytical expressions for the hydrodynamical coefficients are also obtained.
|Number of pages||15|
|Journal||Journal of Ship Research|
|State||Published - 1980|