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Hydrostatic stability calculations by pressure integration
Authors:S Schalck  J Baatrup
Abstract:It is the purpose of this paper to present a new method for the calculation of hydrostatic properties of intact and damaged ship hulls and other floating structures. The geometry of the floating structure is modelled as a set of compartments, bounded by flat panels. Hydrostatic properties are derived by pressure integration on these panel elements. By application of Greens integration theorem the area integration is transformed into line integrals around the contour of each element. The line integrals can be expressed analytically such that the final result is that all the hydrostatic properties can be determined as a summation of easily evaluated expressions. This calculation procedure has the advantage of being well suited for computer calculation, and is easily applied to truly arbitrarily shaped floating structures. Another advantage is that it is based on a geometrical model which is equally suited for finite element strength analysis and hydrodynamic calculations based on a panel method. The application of the procedure is demonstrated by an example.
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