Regulatory Use of Nonlinear Dynamics: An Overview

Abstract

This chapter is focused on the physical background of the second level vulnerability criterion for surf-riding /broaching-to as a part of the IMO second generation intact stability criteria. The criterion is based on Nonlinear Dynamics, homoclinic bifurcation, in particular, and uses the Melnikov method for calculations. While well understood in the scientific community, these concepts may present a challenge for regulatory use since most practicing naval architects are not familiar with these concepts. The paper presents an explanation of the criterion background using conventional Naval Architecture physical concepts, and gives an overview of the dynamical aspects of the calculation procedure.