Predicting Complicated Dynamics Leading to Vessel Capsizing

Abstract

This thesis represents an effort by one naval architect to analyze the important and practical age-old problem of nonlinear ship rolling motion and motion stability using the most modern methods available from other fields. Although some of the methods used in this work may be unfamiliar to ship design naval architects, most of the methods used herein represent the best and most recent techniques available from applied mathematics, applied mechanics, mechanical engineering and electrical engineering for analyzing periodically forced nonlinear time-varying systems.