Journal of Applied Mathematics
Volume 2012 (2012), Article ID 375686, 27 pages
Research Article

A Ship Collision Analysis Program Based on Upper Bound Solutions and Coupled with a Large Rotational Ship Movement Analysis Tool

1Mechanical Engineering Department (LE2M), ICAM Nantes Campus, 35 Avenue du champ de Manœuvres, 44470 Carquefou, France
2PRINCIPIA, 1 rue de la Noé, 44321 Nantes Cedex 3, France
3Hull and Accommodation Structures Department, DCNS Ingénierie SNS, Rue Choiseul, 56311 Lorient, France

Received 19 January 2012; Revised 15 March 2012; Accepted 27 March 2012

Academic Editor: Armin Troesch

Copyright © 2012 Hervé Le Sourne et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a user-friendly rapid prediction tool of damage to struck and striking vessels in a ship collision event. To do this, the so-called upper bound theorem is applied to calculate internal forces and energies of any substructure involved in the ships crushing process. At each increment of indentation, the total crushing force is transmitted to the external dynamics MCOL program, which calculates the global ship motion correction by solving the hydrodynamic force equilibrium equations. As a first step, the paper gives a brief description of the upper bound method originally developed for perpendicular collisions and recently enhanced for oblique ones. Then, the theory developed in MCOL program for large rotational ship movements is detailed. By comparing results obtained with and without MCOL, the importance of hydrodynamic effects is highlighted. Some simulation results are compared with results provided by classical nonlinear finite element calculations. Finally, by using the developed analytical tool, which mixes internal and external dynamics, different crushing scenarios including oblique collisions are investigated and the influence of some collision parameters like longitudinal and vertical impact location, impact angle, and struck ship velocity is studied.