Angle of Loll
Stability
Angle of Loll
Angle of loll
Consider the following vessel in unstable equilibrium
condition.
As the angle of heel increases, the CB moves out further
until it is directly under G. The capsizing moment disappears now and this
angle of heel at which this condition occurs is called the angle of loll.
The ship now moves around the angle of loll, but if the CB
does not move out far enough to move directly under G, then the vessel will
capsize.
If the heel increases beyond the angle of loll, the CB moves
out further to the low side and the ship now moves around this angle.
The angle of loll can be on either side depending upon the
external inclining force, such as the wind and the waves.
However, there is always the threat of the G rising above
the M and this will create a situation of unstable equilibrium, thereby
capsizing the ship.
List Caused By Negative Gm
When a ship’s center of gravity moves vertically upwards and
slightly above the Metacenter, the ship will develop a list (or possibly
capsize.) The vessel may also “flop” over, developing the same list to the
other side.
Possible Causes
1. Removal
of low weight
2. Addition
of high weight (ice)
3. Moving
weight upward
4. Free
Surface Effect
5. Free Flow
Effect (if present)
How to Recognize
1. Vessel
will not remain upright and will assume a list to either port or starboard.
2. Vessel
“flops” to port or starboard.
3. Vessel
will have a very long, slow roll period about the angle of list.
4. A small
GM is known to exist plus any of the above.
Corrective Measures
1. Eliminate
Free Surface and Free Flow Effects (if present)
2. Add low
weight symmetrically about centerline.
3. Remove
high weight symmetrically.
4. Shift
weight down symmetrically.
List Caused By Off-Center Weight And Negative Gm
The vessel’s stability is reduced by both an increase in the
height of the center of gravity and movement from centerline. A negative GM
condition exists, represented by the “uncorrected” curve. An off-center weight,
represented by the cosine curve, is added and a larger list develops.
Possible Causes
1. A
combination of the previous causes of list.
How to Recognize
1. Vessel
will assume a permanent list either port or starboard (vessel will not flop).
2. Very slow
roll period about this permanent list.
3. The known
off-center weight isn’t proportional to the ship’s list.
Corrective Measures
Correct Negative GM first.
a. Eliminate
Free Surface and Free Flow Effects (if present)
b. Shift
weight down, add weight low, or jettison weight high.
Correct for Gravity Off Centerline
a. Add
weight to higher side
b. Remove
weight from lower side
c. Shift
weight to higher side
*** ALWAYS correct Negative GM prior to shifting weights
transversely ***
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