Nonlinear Surge Dynamics of a Ship in Astern Seas: “Continuation Analysis” of Periodic States with Hydrodynamic Memory

Abstract

Continuation analysis is performed for the coupled surge, heave, and pitch motions of a ship in steep following seas. The focus of the work is on the efficient elicitation of system dynamics related to the phenomena of nonlinear surging and surf-riding. Background material with several references can be found in Spyrou (1996a, 1996b, 1997, 2006). Main novel features of the current work are the inclusion of fluid memory effects within the framework of continuation analysis and the successful implementation of continuation for the periodic motions that correspond to the "overtaking waves" scenario. The entailed steps for realizing these goals are discussed in detail. Application is presented for a well-known ITTC ship.