The vertical fluke Force:
When
investigating the vertical fluke force (Fv) as a function of the angles α,
β, a 3D plot has been made.
In this plot it’s
interesting to look at the influence of the angle α on Fv. As can be seen
in the figures, when α reaches 1.1rad or +/- 60deg, the vertical fluke
force becomes negative.
A negative Fv represents an upward force,
or in other words the fluke makes an up going movement. We want the fluke to
go down and this negative Fv will not give penetration.
Other things
which can be seen, are an increasing Fv between α = 0 rad and α =
0.75 rad for a maximum angle β, and between α = 0 rad and α =
0.9 rad for a minimum angle β.
First conclusion
will be that the angle α lies between 0 and 60 deg.
Vertical fluke force as a function of alpha
When investigating the vertical fluke force as a function of β, the following
conclusions can be made:
β doesn’t influence
the Fv when looking at α = 0, this due to the horizontal orientation of
the fluke in the sand. β lies between 10 and 50 deg and its
influence on Fv is small.
Vertical fluke force as a function of beta
The horizontal Fluke force:
When
looking at the 3D representation of the Horizontal fluke force (Fh) as a function
of the angles α and β, a relative flat figure will occur.
Except, when
looking at a high α and β, Fh reaches a high value then.
This result is as
expected; with a high value of α and
β, it becomes hard to shear the sand over the shear zone and therefore
a high Fh is necessary.
Horizontal fluke force as a function of alpha
Horizontal fluke force as a function of beta