January  2009, 8(1): 209-235. doi: 10.3934/cpaa.2009.8.209

A modelling of springing, whipping and slamming for ships

1. 

Chaire de Calcul Scientifique, Conservatoire National des Arts et Métiers, 292 rue Saint Martin, Paris 75003, France

2. 

Laboratoire de Mathématiques CNRS-UMR 8628, Université de Paris sud, bat. 425, 91400 Orsay, France

Received  February 2008 Revised  July 2008 Published  October 2008

The slamming phenomenon is a violent impact of the hull of a ship on the free surface of the sea. This loading case is particularly difficult to modelize for several reasons: first of all, the wet surface of the hull is an unknown; then a coupling with the springing (flexibility of the ship) is very complex and finally the interaction with the waves (even if the eigenfrequencies of the structure and the one of the waves are very different) which can be at the origin of important damage mechanisms, involves pointwise effects. This paper aims at giving a simple mathematical model which enables one to simulate the full coupling between these phenomena.
Citation: Philippe Destuynder, Caroline Fabre. A modelling of springing, whipping and slamming for ships. Communications on Pure and Applied Analysis, 2009, 8 (1) : 209-235. doi: 10.3934/cpaa.2009.8.209
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