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| On the Stability of Racing Sailing Boats with Foils |
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Citation： |
Philippe DESTUYNDER,Caroline FABRE.On the Stability of Racing Sailing Boats with Foils[J].Chinese Annals of Mathematics B,2018,39(3):427~450 |
| Page view： 1961
Net amount： 1479 |
Authors： |
Philippe DESTUYNDER; Caroline FABRE |
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| Abstract： |
The development of foils for racing boats has changed the strategy
of sailing. Recently, the America's cup held in San Francisco, has
been the theatre of a tragicomic history due to the foils. During
the last round, the New-Zealand boat was winning by 8 to 1 against
the defender USA. The winner is the first with 9 victories. USA team
understood suddenly (may be) how to use the control of the pitching
of the main foils by adjusting the rake in order to stabilize the
ship. And USA won by 9 victories against 8 to the challenger NZ. The
goal in this paper is to point out few aspects which could be taken
into account in order to improve this mysterious control law which
is known as the key of the victory of the USA team. There are
certainly many reasons and in particular the cleverness of the
sailors and of all the engineering team behind this project. But it
appears interesting to have a mathematical discussion, even if it is
a partial one, on the mechanical behaviour of these extraordinary
sailing boats. The numerical examples given here are not the true
ones. They have just been invented in order to explain the
theoretical developments concerning three points: The possibility of
tacking on the foils for sailing upwind, the nature of foiling
instabilities, if there are, when the boat is flying and the control
laws.
\begin{figure}[h]
\centering
\includegraphics{fig.1.eps}\\[2mm]
{\small Figure 1\ \ Principle of the flying boat with the AC45 of
Oracle USA Team---TV snapshot.} \label{fig0}
\end{figure} |
Keywords： |
Hydrodynamics of foils, Mathematical analysis, Stability |
Classification： |
35C07, 65M15, 35M12, 65T60 |
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