ASimplified Analytical Method for Estimating the Crushing Resistance of an Inclined Ship Side

This paper provides a new contribution to the simplified analytical
treatment of collisions between two ships. It is directly connected
to the well-known super-elements method, which is a simplified
procedure allowing for a quick estimation of the damages caused
to both the striking and struck vessels during such events. In this
article, a new analytical formulation is presented for estimating
the impact resistance provided by inclined ship side panels. Two
different scenarios are treated. We first deal with the case of an
impact between the oblique plate and the stem of the striking ship,
and then we consider the situation where the inclined panel is
impacted by the bulb. For these two scenarios, an analytical
formulation relating the force and the penetration is provided and
these developments are validated by comparing them to the results
of finite elements simulations. Finally, the new inclined plate
super-element is integrated in a simplified model of a frigate
collided by another ship, and the resistance given by the superelements
method is then compared to the one obtained by a numerical
simulation of this collision.