On the Uniqueness of the Approximate Analytical Solution of the Surf-Riding Threshold in the IMO Second Generation Intact Stability Criteria

TL;DR

This paper examines the uniqueness of approximate analytical solutions for surf-riding thresholds in maritime stability criteria, linking Melnikov's method with physical interpretations to improve safety assessments.

Contribution

It provides a novel analysis of the uniqueness of surf-riding threshold solutions derived via Melnikov's method within maritime stability criteria.

Findings

Confirmed the conditions for the uniqueness of solutions.

Linked Melnikov's analysis with physical surf-riding dynamics.

Enhanced understanding of surf-riding thresholds in stability criteria.

Abstract

The International Maritime Organization developed the Second Generation Intact Stability Criteria (SGISC) with the objective of mitigating maritime incidents attributable to roll motion. Given that surf-riding precedes broaching, the SGISC uses vulnerability criteria for broaching based on surf-riding dynamics. The surf-riding threshold is derived by Melnikov's method in the level-2 vulnerability criterion. In this paper, the authors discuss the uniqueness of the approximate analytical solutions to be used as the surf-riding threshold in the SGISC and based on the relationship between Melnikov's analysis and its physical interpretation.