On multi-planar impact mechanics in ship collisions

Abstract

This paper presents a new solution for ship impact dynamics in multi-planar space. A collision matrix is presented. It is derived on the basis of impact dynamics for rigid bodies. Effective mass factors are introduced accordingly. An impulse-based solution for ship collisions in multi-planar space is obtained. The hydrodynamic effects are included by means of constant added mass factors. Friction effects are considered; thus, “stick” and “slide” mechanics are both captured. The present method is compared with other models for ship collisions. It is shown that the method unifies existing methods for the normal direction [1], planar space [2] and multi-planar space [3]. Application examples are shown to demonstrate the benefits of the method. Discussions and clarifications of some important concepts of the theory are included.