Approximate criterion for capsize based on deterministic dynamics

Abstract

Abstract An approach to studying the critical forcing parameters of an oscillator with a softening spring characteristic is developed. The harmonic response of the system is limited within a region of the phase plane, the boundary of which corresponds to a level of constant total energy for the underlying conservative system. This approach may be a useful conceptual aid in the understanding of the difficult problem of roll motion leading to capsize of a floating vessel.