A Theoretical Study of Hydrodynamic Derivatives on Ship Maneuvering in Restricted Water

Applying the method of matched asymptotic expansions, a prediction method of hydrodynamic derivatives on ship maneuvering in a shallow channel was developed. The numerical results are presented for a Series 60 model, Cb=0.6, and the effects of ship motion frequency, channel bank and water depth on the hydrodynamic derivatives are theoretically examined. It was found that in a shallow channel the hydrodynamic derivatives change appreciably with motion frequency, and that this change is due to the effect of shed vortices generated by ship maneuvering motion.