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Ship stability is an area of naval architecture and ship design that deals with how a ship behaves at sea, both in still water and in waves, whether intact or damaged. Stability calculations focus on centers of gravity , centers of buoyancy , the metacenters of vessels, and on how these interact.
Ship stability diagram showing centre of gravity (G), centre of buoyancy (B), and metacentre (M) with ship upright and heeled over to one side. As long as the load of a ship remains stable, G is fixed (relative to the ship). For small angles, M can also be considered to be fixed, while B moves as the ship heels.
Simpson's rules are a set of rules used in ship stability and naval architecture, to calculate the areas and volumes of irregular figures. [1] This is an application of Simpson's rule for finding the values of an integral, here interpreted as the area under a curve. Simpson's First Rule
The vertical/Z axis, or yaw axis, is an imaginary line running vertically through the ship and through its centre of mass. A yaw motion is a side-to side movement of the bow and stern of the ship. The transverse/Y axis, lateral axis, or pitch axis is an imaginary line running horizontally across the ship and through the centre of mass. A pitch ...
Permeability of a space in a ship is the percentage of empty volume in that space. Permeability is used in ship survivability and damaged stability calculations in ship design. In this case, the permeability of a space is a percentage from 0 to 100. Alternately, the permeability may be a coefficient from 0 to 1. The permeability of a space is ...
The stability conditions of watercraft are the various standard loading configurations to which a ship, boat, or offshore platform may be subjected. They are recognized by classification societies such as Det Norske Veritas , Lloyd's Register and American Bureau of Shipping (ABS).
MACS3 Basic Loading Program performs: Ship stability and strength calculations, covering all pertinent international regulations like e.g. IMO A.749; Numerical and graphical results for metacentric height GM, trim, heel, draft, shear forces, bending moments and torsion; Metacentric height GM check against various approved GM requirement curves
The calculation of angular rate requires knowledge of the target and own ship course, speed, and range. The prediction of azimuth [21] is performed similarly to the range prediction. [1] Equation 5 is the fundamental relationship, whose derivation is illustrated in Figure 4.