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820
lower velocity between the vessels. The duration of
the first contact forces peak also slightly increases for
contacts in lower velocities, having a duration
between 1 and 2 seconds. It is also relevant to notice
that the intersection between vessel polygons is kept
small for all the contact velocities, as shown in table 2,
having a maximum penetration between geometries
of 0.97m for the 4 knots scenario.
Figure 12. Contact forces for scenarios with different relative
velocities between objects.
Table 2. Maximum penetration between vessels’ polygons.
________________________________________________
Initial velocity Maximum depth
________________________________________________
4.0 knots 0.96 m
2.0 knots 0.53 m
1.0 knot 0.29 m
0.5 knot 0.14 m
________________________________________________
5 CONCLUSIONS
In this paper, a 2D time-discretized model for contact
forces between bodies was presented. Its performance
was evaluated by comparing its behaviour for varying
integration time-steps duration in a numerical
manoeuvring simulator. The contact model performs
close to the expected, considering the hypothesis
adopted in its formulation, even for large integration
time-steps.
The model considers both restoration forces and
friction forces between bodies. The model is
simplified, so it can be run in Real-Time simulations,
and can be satisfactorily used for cases where the
dynamical behaviour of the bodies in the simulation is
more important than the accurate computation of
peak values or contact forces.
As further steps for improving the model, one
possibility is to run high-resolution Finite Element
Analysis of the contact between typical marine
fenders and ship hulls, and use it as a gold standard
to compare to the model proposed. A direct
comparison between the forces calculated by both
models will provide a way to objectively measure the
performance of the proposed model, and it might give
insight into where the model could be improved.
ACKNOWLEDGMENTS
The authors acknowledge ANP/Petrobras for sustaining
long-term support in the development of the Ship
Maneuvering Simulator Center (SIGITEC 2018/00402-5).
The first and last authors also thank the Center for Artificial
Intelligence (C4AI-USP), supported by the São Paulo
Research Foundation and by the IBM Corporation (FAPESP
grants 2019/07665–4 and 2020/16746-5).
The last author acknowledges the CNPq – Brazilian
National Council for Scientific and Technological
Development for the research grants (process 310127/2020–
3).
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