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heave, pitch and roll are calculated. A polar diagram
highlights area of danger where synchronous roll has
a probability to occur.
Fig. 1. Screenshot of WeatherView
TM
The calculations are based on basic ship data and
its load condition. The results can give an indication
of the ship’s performance in a seaway. Tidal
information is given for selected ports as well as
information of ice concentration. Typhoon warnings
and forecasted development of these are also shown
on the chart. It is possible to identify various danger
areas given by input from the user and these can be
displayed on a timeline if chosen.
3 ADDED FUNCTIONALITIES
3.1 IMO MSC 707 parameters
A ship sailing under heavy weather conditions may
encounter various kinds of dangerous phenomena
which may lead to severe roll motions capable of
causing damage to cargo, equipment and people on
board. The sensitivity of a ship to dangerous
phenomena depends on actual stability parameters,
hull geometry, size and speed of the ship. This
implies that the vulnerability to the dangerous
response and its probability of occurrence in a
particular sea state may differ for each ship.
The guidance issued by IMO’s Maritime Safety
Committee [IMO MSC 707, 1995], aims at giving
seafarers caution on dangerous phenomena that may
be encountered when navigating in following/
quartering seas. It provides the basis for a decision
on ship handling in order to avoid such dangerous
situations as well as advice on safe and unsafe
combinations of ship speed and course relative to
waves in a simplified form of a polar diagram.
Phenomena like synchronous/parametric roll,
broaching/surfriding and high wave group encounter
are included in the guidance.
3.2 Synchronous and parametric roll
Synchronous rolling resonance conditions occur
when the natural roll periods Tr of the vessel
coincides to the encounter period Te of the waves,
Figure 2, i.e.
where
is the roll radius of gyration with respect
to an axis parallel with the x-axis through the centre
of gravity,
44
is the roll added moment and
is
the transverse metacentric height (the parameter
which has most influence on the roll period). M is
the mass, ρ is the density of seawater and
is the
displaced volume of the ship. U is the ship’s speed,
T
0
is the wave period and β is the wave heading
angle.
Parametric rolling resonance conditions occur
when the natural roll periods of the vessel is equal to
half of the encounter period of the waves, Figure 2.
Fig. 2. Ranges of roll resonance
Furthermore, the vessel should be travelling with
a small heading angle to the predominant wave
direction (head or stern seas), wavelength should be
comparable to ship length, wave height should be
large and the roll damping characteristics of the
vessel should be low (low speed).
3.3 Slamming / green water
Wave impact typically occurs in the bow section of
the ship, at flat bottom sections, and at the upper
bow flare. For modern containerships slamming may
also occur at the stern section due to flat bottom
design. The impact loads are highly concentrated in
a very short time period and may result in damage of
local structure and accentuate structural vibration
throughout the hull, also known as whipping. Its
severity will depend on ship speed, wave height and